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Any replacements are listed further down

[2120] **viXra:1703.0195 [pdf]**
*submitted on 2017-03-20 13:17:51*

**Authors:** Edgar Valdebenito

**Comments:** 13 Pages.

In this note give some formulas related with the polynomial:p(g)=g^8+g^7-7g^6-6g^5+15g^4+10g^3-10g^2-4g+1

**Category:** General Mathematics

[2119] **viXra:1703.0160 [pdf]**
*submitted on 2017-03-16 08:59:13*

**Authors:** Grushka Ya.I.

**Comments:** 6 Pages. Mathematics Subject Classification: 12D99; 83A05

We construct the logarithmic extension for real numbers in which the numbers, less then $-\infty$ exist. Using this logarithmic extension we give the single formula for hyperbolic representation of generalized tachyon Lorentz transforms.

**Category:** General Mathematics

[2118] **viXra:1703.0156 [pdf]**
*submitted on 2017-03-15 23:21:37*

**Authors:** Clive Jones

**Comments:** 7 Pages.

Colourizing the Complex-Plane

**Category:** General Mathematics

[2117] **viXra:1703.0127 [pdf]**
*submitted on 2017-03-13 12:58:37*

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

this note presents a collection of integrals involving pi.

**Category:** General Mathematics

[2116] **viXra:1703.0126 [pdf]**
*submitted on 2017-03-13 13:32:26*

**Authors:** Edgar Valdebenito

**Comments:** 10 Pages.

This note presents the numbers k1 and k2.

**Category:** General Mathematics

[2115] **viXra:1703.0088 [pdf]**
*submitted on 2017-03-09 12:25:43*

**Authors:** R. Wayte

**Comments:** 13 Pages.

A solution of Fermat’s Last Theorem is given, using elementary function arithmetic and inference from worked examples.

**Category:** General Mathematics

[2114] **viXra:1703.0071 [pdf]**
*submitted on 2017-03-07 22:59:43*

**Authors:** Kolosov Petro

**Comments:** 12 Pages. Final revised paper, text overlap with previous versions

The main aim of this paper to establish the relations between for-
ward, backward and central finite(divided) differences (that is discrete analog
of the derivative) and partial & ordinary high-order derivatives of the polyno-
mials.

**Category:** General Mathematics

[2113] **viXra:1703.0053 [pdf]**
*submitted on 2017-03-07 02:13:29*

**Authors:** Han Geurdes

**Comments:** 9 Pages.

In this paper a type D breakdown of the Navier Stokes equation in d=3 dimensions is demonstrated.

**Category:** General Mathematics

[2112] **viXra:1703.0052 [pdf]**
*submitted on 2017-03-06 12:20:58*

**Authors:** Edgar Valdebenito

**Comments:** 23 Pages.

This note presents formulas and fractals related with the polynomial:p(x)=x^8+4x^7-10x^6-16x^5+19x^4+16x^3-10x^2-4x+1.

**Category:** General Mathematics

[2111] **viXra:1703.0017 [pdf]**
*submitted on 2017-03-02 12:03:30*

**Authors:** Edgar Valdebenito

**Comments:** 17 Pages.

In this note we presents some formulas related with the radical:r=(5^(1/4)-1)/(5^(1/4)+1).

**Category:** General Mathematics

[2110] **viXra:1702.0330 [pdf]**
*submitted on 2017-02-27 12:42:03*

**Authors:** Edgar Valdebenito

**Comments:** 30 Pages.

Newton-Julia fractals and pi formulas

**Category:** General Mathematics

[2109] **viXra:1702.0324 [pdf]**
*submitted on 2017-02-26 23:40:12*

**Authors:** Felix M. Lev

**Comments:** 10 Pages. Published in Physics of Particles and Nuclei Letters

Classical mathematics (involving such notions as infinitely small/large and continuity) is usually treated as fundamental while finite mathematics is treated as inferior which is used only in special applications. We first argue that the situation is the opposite: classical mathematics is only a degenerate special case of finite one and finite mathematics is more pertinent for describing nature than standard one. Then we describe results of a quantum theory based on finite mathematics. Implications for foundation of
mathematics are discussed.

**Category:** General Mathematics

[2108] **viXra:1702.0239 [pdf]**
*submitted on 2017-02-19 05:54:26*

**Authors:** Sumera Naz, Hossein Rashmanlou, M. Aslam Malik

**Comments:** 29 Pages.

Single valued neutrosophic model as an instance of a neutrosophic model provide
an additional possibility to represent imprecise, uncertainty, inconsistent and incomplete information which exist in real situations. In this paper, the concept of energy
of a graph is introduced in the context of a single valued neutrosophic environment, where for each element the truth-membership, indeterminacy-membership
and falsity-membership degree, in [0, 1], are independently assigned. Firstly, the
novel concepts of energy of a single valued neutrosophic graph (SVNG) are proposed and their properties are investigated, then Laplacian energy of a SVNG is
introduced. Between the properties of energy and Laplacian energy of a SVNG,
there is a great deal of analogy, but also some significant differences.

**Category:** General Mathematics

[2107] **viXra:1702.0238 [pdf]**
*submitted on 2017-02-18 14:00:18*

**Authors:** S. Naz, M. A. Malik, H. Rashmanlou

**Comments:** 18 Pages.

Interval-valued intuitionistic fuzzy set (IVIFS) as a generalization of intuitionistic fuzzy set (IFS) increase its elasticity drastically. In this paper, some important
types of interval-valued intuitionistic fuzzy graphs (IVIFGs) such as regular, irregular, neighbourly irregular, highly irregular and strongly irregular IVIFGs are
discussed. The relation among neighbourly irregular, highly irregular and strongly
irregular IVIFGs is proved. The notion of interval-valued intuitionistic fuzzy clique
(IVIFC) is introduced. A complete characterization of the structure of the IVIFC
is presented.

**Category:** General Mathematics

[2106] **viXra:1702.0237 [pdf]**
*submitted on 2017-02-18 14:33:00*

**Authors:** S. Naz, S. Ashraf, H. Rashmanlou

**Comments:** 16 Pages.

Bipolar fuzzy set theory provides a basis for bipolar cognitive modeling and multiagent decision analysis, where in some situations, the product operator may be
preferred to the min operator, from theoretical and experimental aspects. In this
paper, the definition of product bipolar fuzzy graphs (PBFGs) is modified. The
concepts of product bipolar fuzzy multigraphs (PBFMGs), product bipolar fuzzy
planar graphs (PBFPGs) and product bipolar fuzzy dual graphs (PBFDGs) are
introduced and investigated. Product bipolar fuzzy planarity value of PBFPG is
introduced. The relation between PBFPG and PBFDG is also established. Isomorphism between PBFPGs is discussed. Finally, an application of the proposed
concepts is provided.

**Category:** General Mathematics

[2105] **viXra:1702.0183 [pdf]**
*submitted on 2017-02-16 07:59:31*

**Authors:** Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri

**Comments:** 25 Pages.

This paper proposes hybrid vector similarity measures under single valued refined neutrosophic sets and proves some of its basic properties. The proposed similarity measure is then applied for solving multiple attribute decision making problems. Lastly, a numerical example of medical diagnosis is given on the basis of the proposed hybrid similarity measures and the results are compared with the results of other existing methods to validate the applicability, simplicity and effectiveness of the proposed method.

**Category:** General Mathematics

[2104] **viXra:1702.0180 [pdf]**
*submitted on 2017-02-15 07:33:20*

**Authors:** Edgar Valdebenito

**Comments:** 8 Pages.

This note presents some formulas related with the elliptic integrals.

**Category:** General Mathematics

[2103] **viXra:1702.0173 [pdf]**
*submitted on 2017-02-14 19:38:12*

**Authors:** Clive Jones

**Comments:** 6 Pages.

An Exploration of Circle-Square Properties & Identities

**Category:** General Mathematics

[2102] **viXra:1702.0140 [pdf]**
*submitted on 2017-02-11 13:12:03*

**Authors:** Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri

**Comments:** 18 Pages.

Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modeling real life decision making problems. In the paper, we have defined projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets and the proposed measures are then applied to multi-attribute decision making problems. The ratings of performance values of the alternatives with respect to the attributes are expressed by bipolar neutrosophic values. We calculate projection, bidirectional projection, and hybrid projection measures between each alternative and ideal alternative with bipolar neutrosophic information and then all the alternatives are ranked to identify best option. Finally, a numerical example is provided to demonstrate the applicability and effectiveness of the developed method. Comparison analysis with other existing methods is also provided.

**Category:** General Mathematics

[2101] **viXra:1702.0082 [pdf]**
*submitted on 2017-02-06 11:01:59*

**Authors:** C. A. Laforet

**Comments:** 3 Pages.

It is shown that the infinite tetration of Euler’s number is equal to any complex number. It is also found that starting with any complex number except 0 and 1, we can convert the complex number into an exponential with a complex exponent. If this is done recursively for each successive exponent, we find that the complex exponent converges to a constant number, which is named the Z-Exponential (Z_e). Derivatives for the Z-Exponential function are derived as well as its relationship to the exponential and natural logarithm.

**Category:** General Mathematics

[2100] **viXra:1702.0050 [pdf]**
*submitted on 2017-02-03 11:54:49*

**Authors:** Edgar Valdebenito

**Comments:** 10 Pages.

In this note we briefly examine some elementary radical identities found in Ramanujan's work.

**Category:** General Mathematics

[2099] **viXra:1701.0685 [pdf]**
*submitted on 2017-01-31 05:28:31*

**Authors:** Prado, PF et al

**Comments:** 77 Pages. unfineshed draft

very temptive model.

**Category:** General Mathematics

[2098] **viXra:1701.0671 [pdf]**
*submitted on 2017-01-30 11:39:16*

**Authors:** Edgar Valdebenito

**Comments:** 6 Pages.

In this note we presents infinite products for some classical constants.

**Category:** General Mathematics

[2097] **viXra:1701.0670 [pdf]**
*submitted on 2017-01-30 11:45:58*

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

In this note presents a collection of double integrals involving constant pi.

**Category:** General Mathematics

[2096] **viXra:1701.0626 [pdf]**
*submitted on 2017-01-26 13:54:34*

**Authors:** Edgar Valdebenito

**Comments:** 18 Pages.

In this note we presents some formulas related with the recurrences:(i)u(n+5)=u(n+3)+u(n+2)+u(n),
u(0)=u(1)=u(2)=u(3)=0,u(4)=1;
(ii)v(n+5)=v(n+4)+v(n+1)+v(n),
v(0)=v(1)=v(2)=v(3)=0,v(4)=1

**Category:** General Mathematics

[2095] **viXra:1701.0616 [pdf]**
*submitted on 2017-01-26 02:05:30*

**Authors:** Muhammad Akram, K. P. Shum

**Comments:** 21 Pages.

Fuzzy graph theory is used for solving real-world problems in different fields, including theoretical computer science, engineering, physics, combinatorics and medical sciences. In this paper, we present conepts of bipolar neutrosophic multigraphs, bipolar neutrosophic planar graphs, bipolar neutrosophic dual graphs, and study some of their related properties. We also describe applications
of bipolar neutrosophic graphs in road network and electrical connections.

**Category:** General Mathematics

[2094] **viXra:1701.0462 [pdf]**
*submitted on 2017-01-11 05:45:26*

**Authors:** Octavian Cira, Florentin Smarandache

**Comments:** 75 Pages.

We put the problem to determine the sets of integers in base b ≥ 2 that generate primes with using a function.

**Category:** General Mathematics

[2093] **viXra:1701.0457 [pdf]**
*submitted on 2017-01-11 05:51:19*

**Authors:** Florentin Smarandache

**Comments:** 12 Pages.

: Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly deﬁned objects. In this paper we introduced soft mixed neutrosophic N-algebraic
with the discussion of some of their characteristics. We also introduced soft mixed dual neutrosophic N-algebraic structures, soft weak mixed neutrosophic N-algebraic structures,
soft Lagrange mixed neutrosophic N-algebraic structures, soft weak Lagrange mixed neu
trosophic and soft Lagrange free mixed neutosophic N-algebraic structures. the so called soft strong neutrosophic loop which is of pure neutrosophic character. We also introduced some of new notions and some basic properties of this newly born soft mixed neutrosophic N-structures related to neutrosophic theory.

**Category:** General Mathematics

[2092] **viXra:1701.0452 [pdf]**
*submitted on 2017-01-11 05:55:50*

**Authors:** Said Broumi, Irfan Deli, Florentin Smarandache

**Comments:** 15 Pages.

In this paper, we ﬁrst give the cartesian product of two neutrosophic multi sets(NMS). Then, we deﬁne relations on neutrosophic multi sets to extend the intuitionistic fuzzy multi relations to neutrosophic multi relations. The relations allows to compose two neutrosophic sets. Also, various properties like reﬂexivity, symmetry and transitivity are studied.

**Category:** General Mathematics

[2091] **viXra:1701.0449 [pdf]**
*submitted on 2017-01-11 06:00:01*

**Authors:** Luige Vlădăreanu, Florentin Smarandache, Mumtaz Ali, Victor Vlădăreanu, Mingcong Deng

**Comments:** 6 Pages.

The paper presents automated estimation techniques for robot parameters through system identification, for both PID control and future implementation of intelligent control laws, with the aim of designing the experimental model in a 3D virtual reality for testing and validating control laws in the joints of NAO humanoid robots.

**Category:** General Mathematics

[2090] **viXra:1701.0448 [pdf]**
*submitted on 2017-01-11 06:02:38*

**Authors:** Nguyen Xuan Thao, Bui Cong Cuong, Florentin Smarandache

**Comments:** 20 Pages.

A rough fuzzy set is the result of approximation of a fuzzy set with respect to a crisp approximation space. It is a mathematical tool for the knowledge discovery in the fuzzy information systems. In this paper, we introduce the concepts of rough standard neutrosophic sets, standard neutrosophic information system and give some results of the knowledge discovery on standard neutrosophic information system based on rough standard neutrosophic sets.

**Category:** General Mathematics

[2089] **viXra:1701.0447 [pdf]**
*submitted on 2017-01-11 06:03:45*

**Authors:** Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache, Mumtaz Ali

**Comments:** 8 Pages.

This main purpose of this paper is to develop an algorithm to find the shortest path on a network in which the weights of the edges are represented by bipolar neutrosophic numbers. Finally, a numerical example has been provided for illustrating the proposed approach.

**Category:** General Mathematics

[2088] **viXra:1701.0446 [pdf]**
*submitted on 2017-01-11 06:04:50*

**Authors:** Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache, Luige VlĂdĂreanu

**Comments:** 6 Pages.

In this paper, we develop a new approach to deal with neutrosphic shortest path problem in a network in which each edge weight (or length) is represented as triangular fuzzy neutrosophic number. The proposed algorithm also gives the shortest path length from source node to destination node using ranking function. Finally, an illustrative example is also included to demonstrate our proposed approach.

**Category:** General Mathematics

[2087] **viXra:1701.0445 [pdf]**
*submitted on 2017-01-11 06:05:51*

**Authors:** Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache

**Comments:** 7 Pages.

In this study, we propose an approach to determine the shortest path length between a pair of specified nodes s and t on a network whose edge weights are represented by trapezoidal neutrosophic numbers. Finally, an illustrative example is provided to show the applicability and effectiveness of the proposed approach.

**Category:** General Mathematics

[2086] **viXra:1701.0444 [pdf]**
*submitted on 2017-01-11 06:06:52*

**Authors:** Kenta Takaya, Toshinori Asai, Valeri Kroumov, Florentin Smarandache

**Comments:** 6 Pages.

In the process of development a control strategy for mobile robots, simulation is important for testing the software components, robot behavior and control algorithms in different surrounding environments. In this paper we introduce a simulation environment for mobile robots based on ROS and Gazebo. We show that after properly creating the robot models under Gazebo, the code developed for the simulation process can be directly implemented in the real robot without modiﬁcations. In this paper autonomous navigation tasks and 3D-mapping simulation using control programs under ROS are presented. Both the simulation and experimental results agree very well and show the usability of the developed environment.

**Category:** General Mathematics

[2085] **viXra:1701.0439 [pdf]**
*submitted on 2017-01-11 06:10:57*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 21 Pages.

Multi-attribute decision making (MADM). Play an important role in many applications, due to the efficiency to handle indeterminate and inconsistent information, single valued neutrosophic sets is widely used to model indeterminate information.

**Category:** General Mathematics

[2084] **viXra:1701.0438 [pdf]**
*submitted on 2017-01-11 06:11:57*

**Authors:** Florentin Smarandache, Mircea Eugen Şelariu

**Comments:** 13 Pages.

Trilobele sunt funcţii supermatematice circulare excentrice (FSM-CE) de excentricitate unghiulară.

**Category:** General Mathematics

[2083] **viXra:1701.0435 [pdf]**
*submitted on 2017-01-11 06:15:54*

**Authors:** Marcel Migdalovici, Luige Vladareanu, Gabriela Vladeanu, Said broumi, Daniela Baran, Florentin Smarandache

**Comments:** 6 Pages.

A survey of some author’s concepts on the dynamic systems stability regions, in the general case of dynamic systems, that depend on parameters, is related in the paper. The property of separation of stable regions in the free parameters domain is assumed in the paper as an important property of the environment that is carry out and in the specified case of walking robot analyzed in the paper.

**Category:** General Mathematics

[2082] **viXra:1701.0433 [pdf]**
*submitted on 2017-01-11 06:17:59*

**Authors:** W.B. Vasantha Kandasamy, Ilanthenral Kandasamy, Florentin Smarandache

**Comments:** 10 Pages.

The Collatz conjecture is an open conjecture in mathematics named so after Lothar Collatz who proposed it in 1937. It is also known as 3n + 1 conjecture, the Ulam conjecture (after Stanislaw Ulam), Kakutanis problem (after Shizuo
Kakutani) and so on. Several various generalization of the Collatz conjecture
has been carried.

**Category:** General Mathematics

[2081] **viXra:1701.0424 [pdf]**
*submitted on 2017-01-11 06:27:41*

**Authors:** Florentin Smarandache, Mircea Eugen Șelariu

**Comments:** 13 Pages.

The trilobes are ex-centric circular supermathematics functions (EC-SMF) of angular excentricity.

**Category:** General Mathematics

[2080] **viXra:1701.0423 [pdf]**
*submitted on 2017-01-11 06:28:41*

**Authors:** Ilanthenral Kandasamy, Florentin Smarandache

**Comments:** 8 Pages.

Personality tests are most commonly objective type where the users rate their behaviour. Instead of providing a single forced choice, they can be provided with more options. A person may not be in general capable to judge his/her behaviour very precisely and categorize it into a single category. Since it is self rating there is a lot of uncertain and indeterminate feelings involved. The results of the test depend a lot on the circumstances under which the test is taken, the amount of time that is spent, the past experience of the person, the emotion the person is feeling and the person’s self image at that time and so on.

**Category:** General Mathematics

[2079] **viXra:1701.0422 [pdf]**
*submitted on 2017-01-11 06:29:23*

**Authors:** Ovidiu Ilie Şandru, Florentin Smarandache

**Comments:** 3 Pages.

În aceasta lucrare vom prezenta un procedeu de algoritmizare a operatiilor necesare deplasarii automate a unui obiect predefinit dintr-o imagine video data intr-o regiune tinta a acelei imagini, menit a facilita realizarea de aplicatii software specializate in rezolvarea acestui gen de probleme.

**Category:** General Mathematics

[2078] **viXra:1701.0419 [pdf]**
*submitted on 2017-01-10 10:38:19*

**Authors:** Azeddine ELHASSOUNY, Florentin SMARANDACHE

**Comments:** 17 Pages.

The purpose of this paper is to present an extension and alternative of the hybrid approach using Saaty’s Analytical Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method (AHP-TOPSIS), that based on the AHP and its use of pairwise comparisons, to a new method called α-D MCDM-TOPSIS(α-Discounting Method for Multi-Criteria Decision Making-TOPSIS). The proposed method works not only for preferences that are pairwise comparisons of criteria as AHP does, but for preferences of any n-wise (with n ≥ 2) comparisons of criteria. Finally the α-D MCDM-TOPSIS methodology is veriﬁed by some examples to demonstrate how it might be applied in diﬀerent types of matrices and is how it allwos for consistency, inconsistent, weak inconsistent, and strong inconsistent problems.

**Category:** General Mathematics

[2077] **viXra:1701.0418 [pdf]**
*submitted on 2017-01-10 10:41:59*

**Authors:** Ilanthenral Kandasamy, Florentin Smarandache

**Comments:** 15 Pages.

Double Refined Indeterminacy Neutrosophic Set(DRINS) is an inclusive case of the refined neutrosophic set, defined by Smarandache [1], which provides the additional possibility to represent with sensitivity and accuracy the uncertain,imprecise,incomplete,and inconsistent information which are available in real world.

**Category:** General Mathematics

[2076] **viXra:1701.0417 [pdf]**
*submitted on 2017-01-10 10:48:31*

**Authors:** Muhammad Gulistan, Majid Khan, Young Bae Jun, Florentin Smarandache, Naveed Yaqoob

**Comments:** 17 Pages.

We generalize the concept of fuzzy point, intutionistic fuzzy point, cubic point by introducing the concept of neutrosophic cubic point.

**Category:** General Mathematics

[2075] **viXra:1701.0415 [pdf]**
*submitted on 2017-01-10 12:06:01*

**Authors:** Gao Jian, Xinhan Huang, Min Wang, Xinde Li

**Comments:** 7 Pages.

Several neutrosophic combination reles based on the Dempster-Shafer Theory and Dezert-Smarandache Theory are presented in the study.

**Category:** General Mathematics

[2074] **viXra:1701.0413 [pdf]**
*submitted on 2017-01-10 12:08:23*

**Authors:** Akbar Rezaei, Arsham Borumand Saeid, Florentin Smarandache

**Comments:** 15 Pages.

In this paper, we introduce the notion of (implicative)neutrosophic ﬁlters in BE-algebras. The relation between implicative neutrosophic ﬁlters and neutrosophic ﬁlters is investigated and we show that in self distributive BEalgebras these notions are equivalent.

**Category:** General Mathematics

[2073] **viXra:1701.0412 [pdf]**
*submitted on 2017-01-10 12:09:13*

**Authors:** Florentin Smarandache, Ștefan Vlăduțescu

**Comments:** 6 Pages.

The study highlights persuasive-fictional inductions that are recorded in journalistic discourse. Subsequently it constitutes an application of Neutrosophic on journalistic communication. The theoretical premise is that journalism is impregnated persuasion.

**Category:** General Mathematics

[2072] **viXra:1701.0411 [pdf]**
*submitted on 2017-01-10 12:10:09*

**Authors:** Florentin Smarandache, Gheorghe Săvoiu

**Comments:** 36 Pages.

Neutrosophic numbers easily allow modeling uncertainties of prices universe, thus justifying the growing interest for theoretical and practical aspects of arithmetic generated by some special numbers in our work. At the beginning of this paper, we reconsider the importance in applied research of instrumental discernment, viewed as the main support of the final measurement validity.

**Category:** General Mathematics

[2071] **viXra:1701.0410 [pdf]**
*submitted on 2017-01-10 12:10:53*

**Authors:** Florentin Smarandache

**Comments:** 11 Pages.

We introduce now for the first time the neutrosophic modal logic. The Neutrosophic Modal Logic includes the neutrosophic operators that express the modalities. It is an extension of neutrosophic predicate logic, and of neutrosophic propositional logic.

**Category:** General Mathematics

[2070] **viXra:1701.0407 [pdf]**
*submitted on 2017-01-10 12:14:36*

**Authors:** Mumtaz Ali, Florentin Smarandache, Luige Vladareanu

**Comments:** 28 Pages.

Neutrosophic sets and Logic plays a significant role in approximation theory. It is a generalization of fuzzy sets and intuitionistic fuzzy set. Neutrosophic set is based on the neutrosophic philosophy in which every idea Z, has opposite denoted as anti(Z) and its neutral which is denoted as neut(Z). This is the main feature of neutrosophic sets and logic.

**Category:** General Mathematics

[2069] **viXra:1701.0406 [pdf]**
*submitted on 2017-01-10 12:15:32*

**Authors:** Madad Khan, Florentin Smarandache, Sania Afzal

**Comments:** 24 Pages.

In this paper we have dened neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them.

**Category:** General Mathematics

[2068] **viXra:1701.0404 [pdf]**
*submitted on 2017-01-10 12:19:28*

**Authors:** Florentin Smarandache

**Comments:** 8 Pages.

This paper is an extention of (t,i,f)-Neutrosophic Structures applicability, where were introduced for the first time a new type of structures.

**Category:** General Mathematics

[2067] **viXra:1701.0403 [pdf]**
*submitted on 2017-01-10 12:20:21*

**Authors:** Mumtaz Ali, Florentin Smarandache

**Comments:** 10 Pages.

The theory of soluble groups and nilpotent groups is old and hence a generalized on. In this paper, we introduced neutrosophic soluble groups and neutrosophic nilpotent groups which have some kind of indeterminacy. These notions are generalized to the classic notions of soluble groups and nilpotent groups. We also derive some new type of series which derived some new notions of soluble groups and nilpotent groups. They are mixed neutrosophic soluble groups and mixed neutrosophic nilpotent groups as well as strong neutrosophic soluble groups and strong neutrosophic nilpotent groups.

**Category:** General Mathematics

[2066] **viXra:1701.0402 [pdf]**
*submitted on 2017-01-10 12:21:37*

**Authors:** Florentin Smarandache, Mumtaz Ali, Muhammad Shabir

**Comments:** 11 Pages.

In this paper, for the first time the authors introduced the notions of neutrosophic
triplet group which is completely different from the classical group. In neutrosophic triplet group, we apply the fundamental law of neutrosophy that for an idea A, we have neut(A) and
anti(A) and we capture the picture of neutrosophy in algebraic structures.

**Category:** General Mathematics

[2065] **viXra:1701.0400 [pdf]**
*submitted on 2017-01-10 12:26:05*

**Authors:** Mumtaz Ali, Florentin Smarandache, W. B. Vasantha Kandasamy

**Comments:** 13 Pages.

Algebraic codes play a signicant role in the minimisation of data corruption which caused by deffects such as inference, noise channel, crosstalk, and packet loss.In this paper, we introduce soft codes (soft linear codes) through the application of soft sets which is an approximated collection of codes.

**Category:** General Mathematics

[2064] **viXra:1701.0394 [pdf]**
*submitted on 2017-01-10 07:43:01*

**Authors:** Victor Christianto, Florentin Smarandache

**Comments:** 11 Pages.

Hyman Minsky pioneered the idea of the financial instability hypothesis to explain how swings between robustness and fragility in financial markets generate business cycles in the economic system. Therefore, in his model business cycles and instability are endogenous. The problem now is how to put his idea of financial instability into a working model which can be tested with empirical data. Such a Minskyan model is quite rare, though some economists have proposed have tried to achieve that. For example, Toichiro Asada suggested generalized Lotka-Volterra nonlinear systems of equations as a model for Minskyan cycles.

**Category:** General Mathematics

[2063] **viXra:1701.0393 [pdf]**
*submitted on 2017-01-10 07:44:18*

**Authors:** Qiang Guo, You He, Yong Deng, Tao Jian, Florentin Smarandache

**Comments:** 35 Pages.

To obtain effective fusion results of multi source evidences with different importances, an evidence fusion method with importance discounting factors based on neutrosopic probability analysis in DSmT framework is proposed. First, the reasonable evidence sources are selected out based on the statistical analysis of the pignistic probability functions of single focal elements.

**Category:** General Mathematics

[2062] **viXra:1701.0392 [pdf]**
*submitted on 2017-01-10 07:45:51*

**Authors:** W.B. Vasantha Kandasamy, Ilanthenral Kandasamy, Florentin Smarandache

**Comments:** 9 Pages.

The Collatz conjecture is an open conjecture in mathematics named so after Lothar Collatz who proposed it in 1937. It is also known as 3n + 1 conjecture, the Ulam conjecture (after Stanislaw Ulam), Kakutani’s problem (after Shizuo
Kakutani) and so on.

**Category:** General Mathematics

[2061] **viXra:1701.0391 [pdf]**
*submitted on 2017-01-10 07:47:02*

**Authors:** Mumtaz Ali, Florentin Smarandache

**Comments:** 12 Pages.

Algebraic codes play a signicant role in the minimisation of data corruption which caused by de⁄ects such as inference, noise channel, crosstalk, and packet loss.In this paper, we introduce soft codes (soft linear codes) through the application of soft sets which is an approximated collection of codes. We also discuss several types of soft codes such as type-1 soft codes, complete soft codes etc. Further, we constrcut the soft generator matrix and soft parity check matrix for the soft linear codes. Moreover, we develop two techinques for the decoding of soft codes.

**Category:** General Mathematics

[2060] **viXra:1701.0390 [pdf]**
*submitted on 2017-01-10 07:48:31*

**Authors:** Mehmet Şahin, Necati Olgun, Vakkas Uluçay, Abdullah Kargın, Florentin Smarandache

**Comments:** 28 Pages.

In this paper, we propose transformations based on the centroid points between single valued neutrosophic values. We introduce these transformations according to truth, indeterminacy and falsity value of single valued neutrosophic values. We propose a new similarity measure based on falsity value between single valued neutrosophic sets.

**Category:** General Mathematics

[2059] **viXra:1701.0384 [pdf]**
*submitted on 2017-01-10 08:29:52*

**Authors:** Said Broumi, Florentin Smarandache, Mohamed Talea, Assia Bakali

**Comments:** 8 Pages.

In this paper, we first define the concept of bipolar single neutrosophic graphs as the generalization of bipolar fuzzy graphs, N-graphs, intuitionistic fuzzy graph, single valued neutrosophic graphs and bipolar intuitionistic fuzzy graphs.

**Category:** General Mathematics

[2058] **viXra:1701.0383 [pdf]**
*submitted on 2017-01-10 08:31:27*

**Authors:** Florentin Smarandache, Ștefan VlĂduȚescu, Ioan Constantin Dima, Dan Valeriu Voinea

**Comments:** 8 Pages.

The paper aims to explain the technology of emergence of information. Our research proves that information as communicational product is the result of processing within some operations, actions, mechanisms and strategies of informational material meanings. Are determined eight computational-communicative operations of building information.

**Category:** General Mathematics

[2057] **viXra:1701.0381 [pdf]**
*submitted on 2017-01-10 08:33:59*

**Authors:** Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache

**Comments:** 6 Pages.

In this paper, the authors propose an extended version of Dijkstra’ algorithm for finding the shortest path on a network where the edge weights are characterized by an interval valued neutrosophic numbers. Finally, a numerical example is given to explain the proposed algorithm.

**Category:** General Mathematics

[2056] **viXra:1701.0380 [pdf]**
*submitted on 2017-01-10 08:43:21*

**Authors:** Kalyan Mondal, Surapati Pramanik, Florentin Smarandache

**Comments:** 16 Pages.

This paper presents some similarity measures between complex neutrosophic sets. A complex neutrosophic set is a generalization of neutrosophic set whose complex-valued truth membership function, complex-valued indeterminacy membership function, and complex valued falsity membership functions are the combinations of real-valued truth amplitude term in association with phase term, real-valued indeterminate amplitude term with phase term, and real-valued false amplitude term with phase term respectively. In the present study, we have proposed complex cosine, Dice and Jaccard similarity measures and investigated some of their properties. Finally, complex neutrosophic cosine, Dice and Jaccard similarity measures have been applied to a medical diagnosis problem with complex neutrosophic information.

**Category:** General Mathematics

[2055] **viXra:1701.0377 [pdf]**
*submitted on 2017-01-10 08:51:57*

**Authors:** Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache

**Comments:** 5 Pages.

The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a network. One of common algorithms in solving shortest path problem is Dijkstra’s algorithm. In this paper, Dijkstra’s algorithm has been redesigned to handle the case in which most of parameters of a network are uncertain and given in terms of neutrosophic numbers. Finally, a numerical example is given to explain the proposed algorithm

**Category:** General Mathematics

[2054] **viXra:1701.0376 [pdf]**
*submitted on 2017-01-10 08:54:44*

**Authors:** GUO Qiang, HE You, LI Xian, Florentin Smarandache, XU Shi-you

**Comments:** 12 Pages.

Aiming to solving the problem that the evidence information based on Dezert-Smarandache (DSm) model cannot be effectively conditionally reasoned in multi-source heterogeneous network which leads to the low rate of situation assessment, a situation assessment method in Conditional Evidential Network based on DSm-Proportional Conflict Redistribution No.5 (PCR5) is proposed. First, the conditional reasoning formula in Conditional Evidential Network based on DSm model is given. Then, the Disjunctive Rule of Combination(DRC) based on DSm-PCR5 is proposed and the Generalized Bayesian Theorem (GBT) for multiple intersection sets of focal elements can be obtained in the premise that the conditional mass assignments functions of focal elements in refinement of hyper-power set is known. Finally, through the simulation experiments results of situation assessment, the effectiveness of the proposed method is verified.

**Category:** General Mathematics

[2053] **viXra:1701.0374 [pdf]**
*submitted on 2017-01-10 09:16:25*

**Authors:** Florentin Smarandache

**Comments:** 9 Pages.

In this paper we make distinctions between Classical Logic (where the propositions are 100% true, or 100 false) and the Neutrosophic Logic (where one deals with partially true, partially indeterminate and partially false propositions) in order to respond to K. Georgiev [1]’s criticism. We recall that if an axiom is true in a classical logic system, it is not necessarily that the axiom be valid in a modern (fuzzy, intuitionistic fuzzy, neutrosophic etc.) logic system.

**Category:** General Mathematics

[2052] **viXra:1701.0373 [pdf]**
*submitted on 2017-01-10 09:19:44*

**Authors:** Ilanthenral Kandasamy, Florentin Smarandache

**Comments:** 10 Pages.

Triple Reﬁned Indeterminate Neutrosophic Set (TRINS) which is a case of the reﬁned neutrosophic set was introduced. It provides the additional possibility to represent with sensitivity and accuracy the uncertain, imprecise, incomplete, and inconsistent information which are available in real world.

**Category:** General Mathematics

[2051] **viXra:1701.0371 [pdf]**
*submitted on 2017-01-10 09:22:27*

**Authors:** Ilanthenral Kandasamy, Florentin Smarandache

**Comments:** 16 Pages.

Triple Reﬁned Indeterminate Neutrosophic Set (TRINS) a case of the reﬁned neutrosophic set was introduced in [8]. The uncertain and inconsistent information which are available in real world is represented with sensitivity and accuracy by TRINS.

**Category:** General Mathematics

[2050] **viXra:1701.0368 [pdf]**
*submitted on 2017-01-10 09:28:40*

**Authors:** Kalyan Mondal, Mumtaz Ali, Surapati Pramanik, Florentin Smarandache

**Comments:** 27 Pages.

This paper presents some similarity measures between complex neutrosophic sets. A complex neutrosophic set is a generalization of neutrosophic set whose complex-valued truth membership function, complex-valued indeterminacy membership function, and complex valued falsity membership functions are the combinations of realvalued truth amplitude term in association with phase term, real-valued indeterminate amplitude term with phase term, and real-valued false amplitude term with phase term respectively.

**Category:** General Mathematics

[2049] **viXra:1701.0366 [pdf]**
*submitted on 2017-01-10 09:32:05*

**Authors:** Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache

**Comments:** 6 Pages.

In this work, a neutrosophic network method is proposed for finding the shortest path length with single valued trapezoidal neutrosophic number. The proposed algorithm gives the shortest path length using score function from source node to destination node.

**Category:** General Mathematics

[2048] **viXra:1701.0364 [pdf]**
*submitted on 2017-01-10 09:37:38*

**Authors:** Luige Vladareanu, Mihaiela Iliescu, Hongbo Wang, Feng Yongfei, Victor Vladareanu, Hongnian Yu, Florentin Smarandache

**Comments:** 6 Pages.

This paper presents relevant aspects of the idea of using the digital medicine in cancer, so that to shape a viable strategy for creating and implementing an interactive digital platform, NEO-VIP, that should be the basic support to design the strategy for integration of basic, clinical and environmental research on neoplasia progression to cancer.

**Category:** General Mathematics

[2047] **viXra:1701.0363 [pdf]**
*submitted on 2017-01-10 09:39:32*

**Authors:** Florentin Smarandache, Mircea Eugen Şelariu

**Comments:** 6 Pages.

Funcţiile beta excentrice de variabilă excentrică bexθ şi de variabilă centrică Bexα stau la baza edificiul funcţiilor supermatematice circulare excentrice (FSM−CE).

**Category:** General Mathematics

[2046] **viXra:1701.0362 [pdf]**
*submitted on 2017-01-10 09:42:09*

**Authors:** Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache

**Comments:** 7 Pages.

In this article, we extend the concept of neutrosophic graph-based multicriteria decision making method (NGMCDM) to the case of interval valued neutrosophic graph theory. The new concept is called interval valued neutrosophic graph-based multicriteria decision making method (IVNGMCDM for short).

**Category:** General Mathematics

[2045] **viXra:1701.0358 [pdf]**
*submitted on 2017-01-10 09:49:30*

**Authors:** Madad Khan, Florentin Smarandache, Muhammad Gulistan, Naveed Yaqoob

**Comments:** 24 Pages.

The main theme of this paper is to explore the structural properties of Hv-LA-semigroups with respect to generalized cubic relations. Here, some generalized cubic equivalence relations in Hv-LAsemigroups have been investigated.

**Category:** General Mathematics

[2044] **viXra:1701.0356 [pdf]**
*submitted on 2017-01-10 09:54:12*

**Authors:** Irfan Deli, Yusuf Şubaş, Florentin Smarandache, Mumtaz Ali

**Comments:** 8 Pages.

Interval valued bipolar neutrosophic set(IVBN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the process of decision making.

**Category:** General Mathematics

[2043] **viXra:1701.0354 [pdf]**
*submitted on 2017-01-10 09:56:56*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 13 Pages.

We first defined interval-valued neutrosophic soft rough sets (IVN-soft rough sets for short) which combine interval-valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of interval-valued intuitionistic fuzzy soft rough sets(IVIF-soft rough sets).

**Category:** General Mathematics

[2042] **viXra:1701.0351 [pdf]**
*submitted on 2017-01-10 10:04:37*

**Authors:** Octavian Cira, F, Smarandache

**Comments:** 26 Pages.

In this article we try to answer questions regarding the set of L.

**Category:** General Mathematics

[2041] **viXra:1701.0340 [pdf]**
*submitted on 2017-01-10 03:55:52*

**Authors:** Ahsan Amin

**Comments:** 32 Pages.

Our goal is to give a very simple, effective and intuitive algorithm for the solution of initial value problem of ODEs of 1st and arbitrary higher order with general i.e. constant, variable or nonlinear coefficients and the systems of these ordinary differential equations. We find an expansion of the differential equation/function to get an infinite series containing iterated integrals evaluated solely at initial values of the dependent variables in the ordinary differential equation. Our series represents the true series expansion of the closed form solution of the ordinary differential equation. The method can also be used easily for general 2nd and higher order ordinary differential equations. We explain with examples the steps to solution of initial value problems of 1st order ordinary differential equations and later follow with more examples for linear and non-linear 2nd order and third order ODEs. We have given mathematica code for the solution of nth order ordinary differential equations and show with examples how to use the general code on 1st, 2nd and third order ordinary differential equations. We also give mathematica code for the solution of systems of a large number of general ordinary differential equations each of arbitrary order. We give an example showing the ease with which our method calculates the solution of system of three non-linear second order ordinary differential equations.

**Category:** General Mathematics

[2040] **viXra:1701.0337 [pdf]**
*submitted on 2017-01-09 12:02:34*

**Authors:** Desire Francine Gobato, Ricardo Gobato

**Comments:** 1 Page. Panel presented in the THIRD INTERNATIONAL SATELLITE CONFERENCE ON MATHEMATICAL METHODS IN PHYSICS, Londrina - PR (Brazil), October 21 - 26, 2013.

One of the most unusual V/STOL aircraft programs was the Avro VZ-9 “Avrocar”. Designed to be a true flying saucer, the Avrocar was one of the
few V/STOL aircraft to be developed in complete secrecy. Despite significant design changes during flight test, the Avrocar was unable to achieve
its objectives and the program was ultimately canceled after the expenditure of over $10 million (1954-61).
The concept of a lift fan driven by a turbojet engine did not die either, and lives on today as a
key component of the Lockheed X-35 Joint Strike Fighter contender. While the Avrocar was
under development, Peter Kappus of General Electric independently developed a lift fan
propulsion system which evolved into the GE/Ryan VZ-11 (later XV-5) “Vertifan”.

**Category:** General Mathematics

[2039] **viXra:1701.0280 [pdf]**
*submitted on 2017-01-04 06:57:26*

**Authors:** Edgar Valdebenito

**Comments:** 6 Pages.

In this note we present:Real solutions of the polynomial equations:x^5+x^4+x-1=0 , x^5+x^3+x^2-1=0 , via fixed point method , Relations for pi number, Fractal connection.

**Category:** General Mathematics

[2038] **viXra:1701.0279 [pdf]**
*submitted on 2017-01-03 13:45:09*

**Authors:** Erik Blasch, Youssif Al-Nashif, Salim Hariri

**Comments:** 15 Pages.

Information fusion includes signals, features, and decision-level analysis over various types of data including imagery, text, and cyber security detection. With the maturity of data processing, the explosion of big data, and the need for user acceptance; the Dynamic Data-Driven Application System (DDDAS) philosophy fosters insights into the usability of information systems solutions.

**Category:** General Mathematics

[2037] **viXra:1701.0278 [pdf]**
*submitted on 2017-01-03 13:46:09*

**Authors:** Madad Khan, Misbah

**Comments:** 25 Pages.

In this paper, we have introduced the notion of neutrosophic (2;2)regular, neutrosophic strongly regular neutrosophic AG-groupoids and investigated these structures. We have shown that neutrosophic regular, neutrosophic intraregular and neutrosophic strongly regular AG-groupoid are the only generalized classes of an AG-groupoid.

**Category:** General Mathematics

[2036] **viXra:1701.0277 [pdf]**
*submitted on 2017-01-03 13:47:23*

**Authors:** Jayshree K.

**Comments:** 219 Pages.

As the name suggests, a semigroup is a generalization of a group; because a semigroup need not in general have an element which has an inverse. The algebraic structure enjoyed by a semigroup is a non-empty set together with an associative closed binary operation.

**Category:** General Mathematics

[2035] **viXra:1701.0276 [pdf]**
*submitted on 2017-01-03 13:48:38*

**Authors:** Mumtaz Ali, Mohsin Khan

**Comments:** 8 Pages.

This article is a study on the development of neutrosophic triplet ring and neutrosophic triplet field.

**Category:** General Mathematics

[2034] **viXra:1701.0275 [pdf]**
*submitted on 2017-01-03 13:49:23*

**Authors:** Anjan Mukherjee, Sadhan Sarkar

**Comments:** 8 Pages.

F. Smarandache introduced the concept of neutrosophic set in 1995 and P. K. Maji introduced the notion of neutrosophic soft set in 2013, which is a hybridization of neutrosophic set and soft set.

**Category:** General Mathematics

[2033] **viXra:1701.0274 [pdf]**
*submitted on 2017-01-03 13:50:16*

**Authors:** Gülnur Saffak Atalay, Emin Kasap

**Comments:** 11 Pages.

In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space.

**Category:** General Mathematics

[2032] **viXra:1701.0273 [pdf]**
*submitted on 2017-01-03 13:51:26*

**Authors:** S.mohana Prakash, P.betty, K.sivanarulselvan

**Comments:** 10 Pages.

Biometrics is used to uniquely identify a person’s individual based on physical and behavioural characteristics. Unimodal biometric system contains various problems such as degree of freedom, spoof attacks, non-universality, noisy data and error rates. so the need of multimodal biometrics system occurred, a multimodal biometric system combines the different biometric traits and provides better performance as compared to a single biometric trait.

**Category:** General Mathematics

[2031] **viXra:1701.0272 [pdf]**
*submitted on 2017-01-03 13:52:20*

**Authors:** Edmundas Kazimieras Zavadskas, Romualdas Baušys, Marius Lazauskas

**Comments:** 14 Pages.

The principles of sustainability have become particularly important in the construction, real estate maintenance sector, and all areas of life in recent years. The one of the major problem of urban territories that domestic and construction waste of generated products cannot be removed automatically.

**Category:** General Mathematics

[2030] **viXra:1701.0271 [pdf]**
*submitted on 2017-01-03 13:53:15*

**Authors:** Yaman Akbulut, Abdulkadir Sengur, Yanhui Guo

**Comments:** 4 Pages.

Image segmentation is the ﬁrst step of image processing and image analysis. Texture segmentation is a challenging task in image segmentation applications.

**Category:** General Mathematics

[2029] **viXra:1701.0269 [pdf]**
*submitted on 2017-01-03 13:54:47*

**Authors:** Yun Ye

**Comments:** 9 Pages.

A simpliﬁed neutrosophic set (SNS) is a subclass of neutrosophic set and contains a single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS).

**Category:** General Mathematics

[2028] **viXra:1701.0268 [pdf]**
*submitted on 2017-01-03 13:57:03*

**Authors:** Alexey Stakhov

**Comments:** 20 Pages.

We consider real important Generalized Golden proportion.

**Category:** General Mathematics

[2027] **viXra:1701.0267 [pdf]**
*submitted on 2017-01-03 13:57:58*

**Authors:** J. Dezert, A. Tchamova, P. Konstantinova

**Comments:** 11 Pages.

The main purpose of this paper is to apply and to test the performance of a new method, based on belief functions, proposed by Dezert et al. in order to evaluate the quality of the individual association pairings provided in the optimal data association solution for improving the performances of multisensormultitarget tracking systems.

**Category:** General Mathematics

[2026] **viXra:1701.0265 [pdf]**
*submitted on 2017-01-03 13:58:52*

**Authors:** Lucian Capitanu, Luige Vladareanu, Virgil Florescu

**Comments:** 10 Pages.

The failure mechanism was postulated as a combination of the high level of loading during normal activities and a non-conforming contact mechanism between the femoral condyles and the tibial insert.

**Category:** General Mathematics

[2025] **viXra:1701.0263 [pdf]**
*submitted on 2017-01-03 14:01:39*

**Authors:** Temitope Gbolahan Jaiyeola

**Comments:** 14 Pages.

The concept of Smarandache Bryant Schneider Group of a Smarandache loop is introduced. Relationship(s) between the Bryant Schneider Group and the Smarandache Bryant Schneider Group of an S-loop are discovered and the later is found to be useful in ﬁnding Smarandache isotopy-isomorphy condition(s) in S-loops just like the formal is useful in ﬁnding isotopy-isomorphy condition(s) inloops.

**Category:** General Mathematics

[2024] **viXra:1701.0255 [pdf]**
*submitted on 2017-01-04 03:26:39*

**Authors:** Chunfang Liu, YueSheng Luo

**Comments:** 12 Pages.

Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has diﬀerent truth membership function, indeterminacy membership function and falsity membership function.

**Category:** General Mathematics

[2023] **viXra:1701.0254 [pdf]**
*submitted on 2017-01-04 03:28:13*

**Authors:** Prem Kumar Singh

**Comments:** 11 Pages.

Recently, three-way concept lattice is studied to handle the uncertainty and incompleteness in the given attribute set based on acceptation, rejection, and uncertain regions.

**Category:** General Mathematics

[2022] **viXra:1701.0253 [pdf]**
*submitted on 2017-01-04 03:29:17*

**Authors:** Surapati Pramanik, Durga Banerjee, B. C. Giri

**Comments:** 18 Pages.

This paper presents TOPSIS approach to solve chance constrained multi – objective multi – level quadratic programming problem. The proposed approach actually combines TOPSIS and fuzzy goal programming.

**Category:** General Mathematics

[2021] **viXra:1701.0251 [pdf]**
*submitted on 2017-01-04 03:33:20*

**Authors:** Hua Ma, Zhigang Hu, Keqin Li, Hongyu Zhang

**Comments:** 20 Pages.

Toward trustworthy cloud service selection: A time-aware approach using interval neutrosophic set.

**Category:** General Mathematics

[2020] **viXra:1701.0250 [pdf]**
*submitted on 2017-01-04 03:34:42*

**Authors:** Feng Liu

**Comments:** 14 Pages.

Based on extensive exploration in Chinese classics, this paper ¯nds a fresh new perspective for KM philosophy especially in pyramid issue: The primary role in knowledge ontology should be consciousness rather than IT aspects, in which the former determines the perceived results such as data, information, knowledge or wisdom.

**Category:** General Mathematics

[2019] **viXra:1701.0245 [pdf]**
*submitted on 2017-01-04 03:42:47*

**Authors:** CHEN Jinguang, ZHANG Fen, MA Lili.

**Comments:** 6 Pages.

Conflict of evidence is one of the most important factor which leads to the fusion result of evidence theory unsatisfactory. Thus the evidence conflict has been the key issue to be solved in evidence theory. By using a linear combination of ambiguity measure, discord measure and nonspecificity measure, a new uncertainty measurement method of evidence is presented.

**Category:** General Mathematics

[2018] **viXra:1701.0244 [pdf]**
*submitted on 2017-01-04 03:44:01*

**Authors:** Jun Ye, Tahir Mahmood, Qaisar Khan

**Comments:** 24 Pages.

In this article we present three similarity measures between simplied neutrosophic hesitant fuzzy sets, which contain the concept of single valued neutrosophic hesitant fuzzy sets and interval valued neutrosophic hesitant fuzzy sets, based on the extension of Jaccard similarity measure, Dice similarity measure and Cosine similarity in the vector space.

**Category:** General Mathematics

[2017] **viXra:1701.0243 [pdf]**
*submitted on 2017-01-04 03:45:30*

**Authors:** KOVALENKO Igore Ivanovich, ShVED Alena Vladimirovna, PUGAChENKO Ekaterina Sergeevna

**Comments:** 7 Pages.

При анализе групповых экспертных оценок эффективные результаты могут быть получены при правильном учете различных НЕ–факторов (неполнота, неопределенность, нечеткость, недостоверность, неоднозначность и др.), что в свою очередь создает основу для выбора соответствующих подходов и методов обработки экспертной информации.

**Category:** General Mathematics

[2016] **viXra:1701.0242 [pdf]**
*submitted on 2017-01-04 03:47:03*

**Authors:** Igore KOVALENKO, Ekaterina ANTIPOVA, Sergey BORDUN

**Comments:** 5 Pages.

В процессе проведения экспертизы между суждениями экспертов могут возникать конфликтные ситуации, когда оценки двух и более независимых экспертных групп не пересекаются.

**Category:** General Mathematics

[2015] **viXra:1701.0239 [pdf]**
*submitted on 2017-01-03 11:09:03*

**Authors:** Rajeswara Reddy P., Naga Raju I., Diwakar Reddy V., Krishnaiah G.

**Comments:** 6 Pages.

In any manufacturing industry 60% - 70% of total cost of product pertains raw materials cost. Therefore selec material supplier is very significant factor to improve quality of product as well as reducing total cost. Supplier selection considers various factors and numerous alternatives.

**Category:** General Mathematics

[2014] **viXra:1701.0238 [pdf]**
*submitted on 2017-01-03 11:10:21*

**Authors:** Andrew Koster, Ana L. C. Bazzan, Marcelo de Souza

**Comments:** 18 Pages.

This paper presents a non-prioritized belief change operator, designed speciﬁcally for incorporating new information from many heterogeneous sources in an uncertain environment. We take into account that sources may be untrustworthy and provide a principled method for dealing with the reception of contradictory information.

**Category:** General Mathematics

[2013] **viXra:1701.0235 [pdf]**
*submitted on 2017-01-03 11:15:39*

**Authors:** Hong-yu Zhang, Pu Ji, Jian-qiang Wang

**Comments:** 36 Pages.

The selection process of medical treatment options is a multi-criteria decision-making (MCDM)
one, and single valued trapezoidal neutrosophic numbers (SVTNNs) are useful in depicting information and fuzziness in selection processes.

**Category:** General Mathematics

[2012] **viXra:1701.0234 [pdf]**
*submitted on 2017-01-03 11:16:49*

**Authors:** M. Reehana Parveen, P. Sekar

**Comments:** 16 Pages.

In this paper for the first time authors define the new notion of merging of semilattices. The properties of merged semilattices is studied and several interesting results are proved in this direction.

**Category:** General Mathematics

[2011] **viXra:1701.0233 [pdf]**
*submitted on 2017-01-03 11:18:32*

**Authors:** Simon CARLADOUS, Jean-Marc TACNET, Jean DEZERT, Corinne CURT, Mireille BATTON-HUBERT

**Comments:** 7 Pages.

Assessment of structural, functional and economic effectiveness of civil protective works against natural hazard, such as torrential check dams, is a key issue for infrastructures assets owners and managers such as French government who owns many of them. This assessment relies on imperfect information (imprecise, incomplete, uncertain), provided by several sources, which relates as far to structures themselves than to natural phenomena scenarios.

**Category:** General Mathematics

[2010] **viXra:1701.0232 [pdf]**
*submitted on 2017-01-03 11:22:24*

**Authors:** Gursangeet Kaur, Jyoti Rani

**Comments:** 5 Pages.

Medical image processing and its segmentation is an active and interesting area for researchers. It has reached at the tremendous place in diagnosing tumors after the discovery of CT and MRI. MRI is an useful tool to detect the brain tumor and segmentation is performed to carry out the useful portion from an image. The purpose of this paper is to provide an overview of different image segmentation methods like watershed algorithm, morphological operations, neutrosophic sets, thresholding, K-means clustering, fuzzy C-means etc using MR images.

**Category:** General Mathematics

[2009] **viXra:1701.0231 [pdf]**
*submitted on 2017-01-03 11:24:55*

**Authors:** Rafael Munoz-Salinas, R. Medina-Carnicer, F.J. Madrid-Cuevas, A. Carmona-Poyato

**Comments:** 18 Pages.

Multi-camera people tracking using evidential filters.

**Category:** General Mathematics

[2008] **viXra:1701.0230 [pdf]**
*submitted on 2017-01-03 11:42:01*

**Authors:** Faruk Karaaslan

**Comments:** 15 Pages.

In this paper, we propose three similarity measure methods for single valued neutrosophic reﬁned sets and interval neutrosophic reﬁned sets based on Jaccard, Dice and Cosine similarity measures of single valued neutrosophic sets and interval neutrosophic sets.

**Category:** General Mathematics

[2007] **viXra:1701.0229 [pdf]**
*submitted on 2017-01-03 11:42:59*

**Authors:** Surapati Pramanik, Durga Banerjee, B. C. Giri

**Comments:** 7 Pages.

In the paper, multi criteria group decision making model has been presented based on tangent similarity measure of neutrosophic refined set. Simplified form of tangent similarity measure in neutrosophic refined set has been presented. New ranking method has been proposed based on refined tangent similarity measure. The proposed approach has been illustrated by solving a teacher selection problem in neutrosophic refined set environment.

**Category:** General Mathematics

[2006] **viXra:1701.0227 [pdf]**
*submitted on 2017-01-03 11:44:43*

**Authors:** Romualdas Bausys, Edmundas-Kazimieras Zavadskas

**Comments:** 16 Pages.

The paper presents the extension of VIKOR method for the solution of the multicriteria decision making problems, namely VIKOR-IVNS. The original VIKOR method was proposed for the solution of the decision problems with the conflicting and non-common measurable criteria. In this paper, a new extension of the crisp VIKOR method has been proposed. This extension is developed in the context of interval-valued neutrosophic sets.

**Category:** General Mathematics

[2005] **viXra:1701.0226 [pdf]**
*submitted on 2017-01-03 11:46:18*

**Authors:** Mridula Sarkar, Samir Dey, Tapan Kumar Roy

**Comments:** 7 Pages.

In this paper, a multi-objective non-linear neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with multiple objectives subject to a specified set of constraints has been developed.

**Category:** General Mathematics

[2004] **viXra:1701.0225 [pdf]**
*submitted on 2017-01-03 11:47:18*

**Authors:** Yun Ye

**Comments:** 20 Pages.

Motivated by the idea of single valued neutrosophic uncertain linguistic sets (SVNULSs) and hesitant fuzzy sets (HFSs), in this article we combine SVNULSs with HFSs to present the idea of hesitant single valued neutrosophic uncertain linguistic sets (HSVNULSs), hesitant single valued neutrosophic uncertain linguistic elements (HSVNULEs) and defined some basic operational laws of HSVNULEs.

**Category:** General Mathematics

[2003] **viXra:1701.0223 [pdf]**
*submitted on 2017-01-03 11:48:29*

**Authors:** Peide Liu, Fei Teng

**Comments:** 27 Pages.

In this paper, similar to the extension from intuitionistic fuzzy numbers (IFNs) to neutrosophic numbers (NNs), we propose the normal neutrosophic numbers (NNNs) based on the normal intuitionistic fuzzy numbers (NIFNs) to handle the incompleteness, indeterminacy and inconsistency of the evaluation information.

**Category:** General Mathematics

[2002] **viXra:1701.0222 [pdf]**
*submitted on 2017-01-03 11:49:40*

**Authors:** Yingwu Fang, Yi Wang, Wei Jin

**Comments:** 5 Pages.

Traditional particle filter (PF) will have bad effect when the target’s color is similar to the background or the target is blocked, and an improved tracking algorithm is presented in the framework of PF and DSmT.

**Category:** General Mathematics

[2001] **viXra:1701.0221 [pdf]**
*submitted on 2017-01-03 11:51:02*

**Authors:** Azeddine Elhassouny, Soufiane Idbraim, Aissam Bekkarri, Driss Mammass, Danielle Ducrot

**Comments:** 9 Pages.

In this paper we introduce a new procedure for classification and change detection by the integration in a fusion process using hybrid DSmT model, both, the contextual information obtained from a supervised ICM classification with constraints and the temporal information with the use of two images taken at two different dates.

**Category:** General Mathematics

[2000] **viXra:1701.0220 [pdf]**
*submitted on 2017-01-03 11:53:32*

**Authors:** Jean Dezert, Albena Tchamova, Pavlina Konstantinova

**Comments:** 8 Pages.

The main objective of this paper is to present, to apply, and to test the effectiveness of the new method, based on belief functions, proposed by Dezert et al. in order to evaluate the quality of the individual association pairings provided in the classical optimal data association solution for improving the performances of multitarget tracking systems in clutter, when some of the association decisions given in the optimal assignment solution are unreliable and doubtful and lead to potentially critical mistake.

**Category:** General Mathematics

[1999] **viXra:1701.0217 [pdf]**
*submitted on 2017-01-03 11:56:40*

**Authors:** R. Narmada Devi

**Comments:** 14 Pages.

In this paper, the concept of N-open set in neutrosophic complex topological space is introduced. Some of the interesting properties of neutrosophic complex N-open sets are studied. The idea of neutrosophic complex N-continuous function and its characterization are discussed. Also the interrelation among the sets and continuity are established.

**Category:** General Mathematics

[1998] **viXra:1701.0216 [pdf]**
*submitted on 2017-01-03 11:57:44*

**Authors:** Majid Khan, Muhammad Gulistan

**Comments:** 21 Pages.

Operational properties of neutrosophic cubic sets are investigated.The notion of neutrosophic cubic subsemigroups and neutrosophic cubic left (resp.right) ideals are introduced, and several properties are investigated.

**Category:** General Mathematics

[1997] **viXra:1701.0215 [pdf]**
*submitted on 2017-01-03 12:00:04*

**Authors:** Jun Ye, Rui Yong, Qi-Feng Liang, Man Huang, Shi-Gui Du

**Comments:** 10 Pages.

Many studies have been carried out to investigate the scale effect on the shear behavior of rock joints.

**Category:** General Mathematics

[1996] **viXra:1701.0214 [pdf]**
*submitted on 2017-01-03 12:01:01*

**Authors:** Muhammad Akram, Sundas Shahzadi, A. Borumand Saeid

**Comments:** 16 Pages.

In this paper, we introduce certain concepts, including neutrosophic hypergraph, line graph of neutrosophic hypergraph, dual neutrosophic hypergraph, tempered neutrosophic hypergraph and transversal neutrosophic hypergraph. We illustrate these concepts by several examples and investigate some of interesting properties.

**Category:** General Mathematics

[1995] **viXra:1701.0213 [pdf]**
*submitted on 2017-01-03 12:01:53*

**Authors:** Debabrata Mandal

**Comments:** 12 Pages.

Hyperstructures, in particular hypergroups, were introduced in 1934 by Marty [12] at the eighth congress of Scandinavian Mathematicians. The notion of algebraic hyperstructure has been developed in the following decades and nowadays by many authors, especially Corsini [2, 3], Davvaz [5, 6, 7, 8, 9], Mittas [13], Spartalis [16], Stratigopoulos [17] and Vougiouklis [20]. Basic deﬁnitions and notions concerning hyperstructure theory can be found in [2].

**Category:** General Mathematics

[1994] **viXra:1701.0210 [pdf]**
*submitted on 2017-01-03 12:08:30*

**Authors:** Surapati Pramanik

**Comments:** 11 Pages.

This paper proposes the framework of neutrosophic linear programming approach for solving multi objective optimization problems involving uncertainty and indeterminacy.

**Category:** General Mathematics

[1993] **viXra:1701.0209 [pdf]**
*submitted on 2017-01-03 12:09:10*

**Authors:** Soumitra De

**Comments:** 7 Pages.

In this paper the author propose a new method of search called Neutrosophic search to find the most suitable match for the predicates to answer any imprecise query made by the database users. Neutrosophic search is capable of manipulating incomplete as well as inconsistent information. Fuzzy relation or vague relation can only handle incomplete information. Neutrosophic logic is an extension of classical logic.

**Category:** General Mathematics

[1992] **viXra:1701.0207 [pdf]**
*submitted on 2017-01-03 12:10:59*

**Authors:** Surapati Pramanik

**Comments:** 11 Pages.

For modeling imprecise and indeterminate data for multi-objective decision making, two different methods: neutrosophic multi-objective linear/non-linear programming, neutrosophic goal programming, which have been very recently proposed in the literatuire.

**Category:** General Mathematics

[1991] **viXra:1701.0206 [pdf]**
*submitted on 2017-01-03 12:12:26*

**Authors:** Kalyan Mondal, Surapati Pramanik

**Comments:** 10 Pages.

In the paper, tangent similarity measure of neutrosophic refined set is proposed and its properties are studied. The concept of this tangent similarity measure of single valued neutrosophic refined sets is an extension of tangent similarity measure of single valued neutrosophic sets.

**Category:** General Mathematics

[1990] **viXra:1701.0201 [pdf]**
*submitted on 2017-01-03 12:16:38*

**Authors:** A. A. Salama

**Comments:** 13 Pages.

The fundamental concepts of neutrosophic set, introduced by Smarandache in [ 38, 39, 40], and Salama et al. in [20-37], provides a natural foundation for treating mathematically the neutrosophic phenomena which exist pervasively in our real world and for building new branches of neutrosophic mathematics.

**Category:** General Mathematics

[1989] **viXra:1701.0200 [pdf]**
*submitted on 2017-01-03 12:17:25*

**Authors:** Ashraf Al-Quran, Nasruddin Hassan

**Comments:** 12 Pages.

In this paper, we ﬁrst introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also deﬁne its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properties with supporting proofs. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using a hypothetical example.

**Category:** General Mathematics

[1988] **viXra:1701.0199 [pdf]**
*submitted on 2017-01-03 12:18:06*

**Authors:** R. Narmada Devi

**Comments:** 14 Pages.

In this paper, the concept of N-open set in neutrosophic complex topological space is introduced. Some of the interesting properties of neutrosophic complex N-open sets are studied. The idea of neutrosophic complex N-continuous function and its characterization are discussed. Also the interrelation among the sets and continuity are established.

**Category:** General Mathematics

[1987] **viXra:1701.0198 [pdf]**
*submitted on 2017-01-03 12:19:08*

**Authors:** Temitope Gbolahan Jaiyeola, S.P. David

**Comments:** 23 Pages.

In this paper, some new algebraic properties of a middle Bol loop are established.

**Category:** General Mathematics

[1986] **viXra:1701.0197 [pdf]**
*submitted on 2017-01-03 12:19:56*

**Authors:** Han-Liang Huang

**Comments:** 12 Pages.

A single-valued neutrosophic set (SVNS) is an instance of a neutrosophic set, which can be used to handle uncertainty, imprecise, indeterminate, and inconsistent information in real life. In this paper, a new distance measure between two SVNSs is deﬁned by the full consideration of truthmembership function, indeterminacy-membership function, and falsity-membership function for the forward and backward differences.

**Category:** General Mathematics

[1985] **viXra:1701.0196 [pdf]**
*submitted on 2017-01-03 12:20:43*

**Authors:** Talat Körpınar

**Comments:** 5 Pages.

Analisa-se novos tipos de superfícies conforme as curvas B- Smarandache TM1 das hélices com inclinação B bi-harmonica. Caracterizam-se as curvas B- Smarandache TM1 conforme as curvaturas de Bishop, acresentando outras relações interessantes.

**Category:** General Mathematics

[1984] **viXra:1701.0195 [pdf]**
*submitted on 2017-01-03 12:21:37*

**Authors:** Somayeh Motamed, Mahsa Sadeghi Kosarkhizi

**Comments:** 12 Pages.

In this paper we introduce the notions of n-fold BL-Smarandache positive implicateve ﬁlter and n-fold BL-Smarandache implicateve ﬁlter in Smarandache residuated lattices and study the relations among them.

**Category:** General Mathematics

[1983] **viXra:1701.0194 [pdf]**
*submitted on 2017-01-03 12:22:24*

**Authors:** Somayeh Motamed, Mahsa Sadeghi Kosarkhizi

**Comments:** 12 Pages.

In this paper we introduce the notions of n-fold BL-Smarandache n-fold BL-Smarandache fantastic ﬁlter and n-fold BL-Smarandache easy ﬁlter in Smarandache residuated lattices and study the relations among them.

**Category:** General Mathematics

[1982] **viXra:1701.0193 [pdf]**
*submitted on 2017-01-03 12:23:19*

**Authors:** Elena Barcucci, Antonio Bernini, Stefano Bilotta, Renzo Pinzani

**Comments:** 16 Pages.

Two matrices are said non-overlapping if one of them can not be put on the other one in a way such that the corresponding entries coincide. We provide a set of non-overlapping binary matrices and a formula to enumerate it which involves the k-generalized Fibonacci numbers. Moreover, the generating function for the enumerating sequence is easily seen to be rational.

**Category:** General Mathematics

[1981] **viXra:1701.0192 [pdf]**
*submitted on 2017-01-03 12:24:17*

**Authors:** Mehmet Serhat Can, Ömer Faruk Özgüven

**Comments:** 7 Pages.

PID denetleyici ile bulanık mantık denetleyici ve bunlardan oluşturulmuş karma tasarımlar, kontrol uygulamalarında sıkça kullanılan denetleyici türlerindendir.

**Category:** General Mathematics

[1980] **viXra:1701.0191 [pdf]**
*submitted on 2017-01-03 12:25:01*

**Authors:** Mehmet Serhat Can, Ömer Faruk Özgüven

**Comments:** 6 Pages.

Bu bildiride, hatanın ve hata değişiminin nötrosofik üyelik fonksiyonlarıyla değerlendirildiği bir bulanık kontrol yaklaşımı sunulmuştur.

**Category:** General Mathematics

[1979] **viXra:1701.0190 [pdf]**
*submitted on 2017-01-03 12:25:44*

**Authors:** Muhammad Akram, Musavarah Sarwar

**Comments:** 20 Pages.

In this research study, we introduce the concept of bipolar neutrosophic graphs. We present the dominating and independent sets of bipolar neutrosophic graphs. We describe novel multiple criteria decision making methods based on bipolar neutrosophic sets and bipolar neutrosophic graphs. We also develop an algorithm for computing domination in bipolar neutrosophic graphs.

**Category:** General Mathematics

[1978] **viXra:1701.0189 [pdf]**
*submitted on 2017-01-03 12:26:45*

**Authors:** Shawkat Alkhazaleh

**Comments:** 6 Pages.

In this paper as a generalization of neutrosophic soft set we introduce the concept of n-valued reﬁned neutrosophic soft set and study some of its properties. We also, deﬁne its basic operations, complement, union intersection, "AND" and "OR" and study their properties.

**Category:** General Mathematics

[1977] **viXra:1701.0188 [pdf]**
*submitted on 2017-01-03 12:29:06*

**Authors:** Shawkat Alkhazaleh

**Comments:** 12 Pages.

In this work we use the concept of a n-valued reﬁned neutrosophic soft sets and its properties to solve decision making problems, Also a similarity measure between two n-valued reﬁned neutrosophic soft sets are proposed.

**Category:** General Mathematics

[1976] **viXra:1701.0187 [pdf]**
*submitted on 2017-01-03 12:30:51*

**Authors:** Husein Hadi Abbass, Qasim Mohsin Luhaib

**Comments:** 11 Pages.

In this paper, the notions of Q-Smarandache fuzzy commutative ideal and Q-Smarandache fuzzy sub-commutative ideal of a Q-Smarandache BH-Algebra are introduced, examples and related properties are investigated. Also, the relationships among these notions and other types of Q-Smarandache fuzzy ideal of a Q-Smarandache BH-Algebra are studied.

**Category:** General Mathematics

[1975] **viXra:1701.0186 [pdf]**
*submitted on 2017-01-03 12:31:47*

**Authors:** Husein Hadi Abbass, Hayder Kareem Gatea

**Comments:** 9 Pages.

In this paper, we define the concept of a Q-Smarandache implicative ideal with respect to an element of a Q-Smarandache BH-algebra. We state and prove some theorems which determine the relationships among this notion and other types of ideals of a Q-Smarandache BH-algebra.

**Category:** General Mathematics

[1974] **viXra:1701.0184 [pdf]**
*submitted on 2017-01-03 12:38:43*

**Authors:** Tuhin Bera, Nirmal Kumar Mahapatra

**Comments:** 20 Pages.

The concepts of neutrosophic normal soft group,neutrosophic soft cosets, neutrosophic soft homomorphism are introduced and illustrated by suitable examples in this paper. Several related properties and structural characteristics are investigated. Some of their basic theorems are also established.

**Category:** General Mathematics

[1973] **viXra:1701.0183 [pdf]**
*submitted on 2017-01-03 12:39:55*

**Authors:** Tuhin Bera, Nirmal Kumar Mahapatra

**Comments:** 19 Pages.

In this paper, the cartesian product and the relations on neutrosophic soft sets have been deﬁned in a new approach. Some properties of this concept have been discussed and veriﬁed with suitable real life examples.

**Category:** General Mathematics

[1972] **viXra:1701.0182 [pdf]**
*submitted on 2017-01-03 12:40:54*

**Authors:** Vildan Cetkin, Banu Pazar Varol, Halis Aygun

**Comments:** 9 Pages.

The target of this study is to observe some of the algebraic structures of a single valued neutrosophic set. So, we introduce the concept of a neutrosophic submodule of a given classical module and investigate some of the crucial properties and characterizations of the proposed concept.

**Category:** General Mathematics

[1971] **viXra:1701.0181 [pdf]**
*submitted on 2017-01-03 12:41:41*

**Authors:** Muhammed T. Sariaydin, Vedat Asil

**Comments:** 7 Pages.

In this paper, we study the parallel curve of a space curve according to parallel transport frame. Then, we obtain new results according to some cases of this curve by using parallel transport frame in Euclidean 3-space. Additionally, we give new examples for this characterizations and we illustrate this examples in gures.

**Category:** General Mathematics

[1970] **viXra:1701.0180 [pdf]**
*submitted on 2017-01-03 12:44:32*

**Authors:** Esra Betul Koc Ozturk, Ufuk Ozturk, Kazim Ilarslan, Emilija Nešovic

**Comments:** 15 Pages.

In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.

**Category:** General Mathematics

[1969] **viXra:1701.0179 [pdf]**
*submitted on 2017-01-03 12:46:08*

**Authors:** Ahmad Sabihi

**Comments:** 19 Pages.

We solve some famous conjectures on the distribution of primes. These conjectures are to be listed as Legendre’s, Andrica’s, Oppermann’s, Brocard’s,Cramer’s, Shanks’, and ﬁve Smarandache’s conjectures. We make use of both Firoozbakht’s conjecture (which recently proved by the author) and Kourbatov’s theorem on the distribution of and gaps between consecutive primes.

**Category:** General Mathematics

[1968] **viXra:1701.0178 [pdf]**
*submitted on 2017-01-03 12:47:38*

**Authors:** Süleyman SENYURT, Yasin ALTUN, Ceyda CEVAHIR

**Comments:** 8 Pages.

In this paper, we investigated special Smarandache curves in terms of Sabban frame drawn on the surface of the sphere by the unit Darboux vector of involute curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is composed by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the base curve. We also gave example belonging to the results found.

**Category:** General Mathematics

[1967] **viXra:1701.0176 [pdf]**
*submitted on 2017-01-03 12:49:38*

**Authors:** Gheorghe Săvoiu, Vasile Dinu

**Comments:** 23 Pages.

Structura articolului reuneşte trei secţiuni majore, urmând demersul general al impactului paradoxurilor în cadrul teoriei economice. O primă secţiune descrie o necesară investigaţie în universul sintetizat al paradoxurilor, pentru a valorifica taxonomia paradoxurilor lui Quine şi a releva importanţa paradoxului cu adevărat paraconsistent, delimitând relativ şi inovativ paradoxismul economic in sensul excesului valorificării creative a paradoxurilor din arealul ştiinţific, aşa cum l-a iniţiat matematicianul şi logicianul Florentin Smarandache.

**Category:** General Mathematics

[1966] **viXra:1701.0174 [pdf]**
*submitted on 2017-01-03 12:51:46*

**Authors:** Jean Dezert, Albena Tchamova, L. Bojilov, Pavlina Konstantinova

**Comments:** 5 Pages.

The main objective of this paper is to investigate the impact of the quality of attribute data source on the performance of a target tracking algorithm. An array of dense scenarios arranged according to the distance between closely spaced targets is studied by different confusion matrices.

**Category:** General Mathematics

[1965] **viXra:1701.0173 [pdf]**
*submitted on 2017-01-03 12:53:14*

**Authors:** Mehmet Serhat Can, Omerul Faruk Ozguven

**Comments:** 15 Pages.

In this paper, a method for adjusting the proportional-integral-derivative (PID) coefﬁcients based on the neutrosophic similarity measure is proposed. First, rough PID coefﬁcients were determined by the Ziegler– Nichols method, and the upper and lower limit values for the search range of the PID coefﬁcients were determined.

**Category:** General Mathematics

[1964] **viXra:1701.0170 [pdf]**
*submitted on 2017-01-03 13:00:35*

**Authors:** Tahir Mahmood, Qaisar Khan, Mohsin Ali Khan

**Comments:** 16 Pages.

In this paper, we have introduced the concept of Q-single value neutrosophic soft set, multi Qsingle valued neutrosophic set and defined some basic results and related properties. We have also defined the idea of Q-single valued neutrosophic soft set, which is the genralizations of Q-fuzzy set, Q-intuitionistic fuzzy set, multi Q-fuzzy set , Multi Q-intuitionistic fuzzy set, Q-fuzzy soft set, Q-intuitionistic fuzzy soft set. We have also defined and discussed some properties and operations of Q-single valued neutrosophic soft set.

**Category:** General Mathematics

[1963] **viXra:1701.0169 [pdf]**
*submitted on 2017-01-03 13:01:40*

**Authors:** Ting Peng, Aiping Qu, Xiaoling Wang

**Comments:** 7 Pages.

Segregation is a popular phenomenon. It has considerable eﬀects on material performance. To the author’s knowledge, there is still no automated objective Quantitative indicator for segregation. In order to full ﬁll this task, segregation of particles is analyzed. Edges of the particles are extracted from the digital picture. Then, the whole picture of particles is splintered to small rectangles with the same shape.

**Category:** General Mathematics

[1962] **viXra:1701.0168 [pdf]**
*submitted on 2017-01-03 13:02:22*

**Authors:** Yang-Fan, Shen Lai-xin

**Comments:** 12 Pages.

Rectangle algorithm is designed to extract ancient dwellings from village satellite images according to their pixel features and shape features. For these unrecognized objects, we need to distinguish them by further extracting texture features of them. In order to get standardized sample, three pre-process operations including rotating operation, scaling operation, and clipping operation are designed to unify their sizes and directions.

**Category:** General Mathematics

[1961] **viXra:1701.0165 [pdf]**
*submitted on 2017-01-03 13:06:49*

**Authors:** Yi Wang, Yingwu Fang, Xinyu Da, Shuxin Chen, Hui Wang

**Comments:** 6 Pages.

Compared with DST, DSmT can be good evidence of contradictions to resolve the issue of evidence portfolios, In view of the occluding in tracking dynamic targets in complex background, a new anti-occluding target tracking algorithm based on DSmT and particle filter is proposed by color cues. The simulation results show that the proposed algorithm is effective and practicable in tracking occluded target and intersected target. Compared with the existing combination rules, the newly proposed rule is applied to both cases of conflicting and coincidence.

**Category:** General Mathematics

[1960] **viXra:1701.0164 [pdf]**
*submitted on 2017-01-03 13:08:18*

**Authors:** Wei-dong Zhu, Fang Liu, Yu-wang Chen, Jian-bo Yang, Dong-ling Xu, Dong-peng Wang

**Comments:** 22 Pages.

Research project evaluation and selection is mainly concerned with evaluating a number of research projects and then choosing some of them for implementation. It involves a complex multiple-experts multiple-criteria decision making process.

**Category:** General Mathematics

[1959] **viXra:1701.0163 [pdf]**
*submitted on 2017-01-03 13:09:14*

**Authors:** Surapati Pramanik, Kalyan Mondal

**Comments:** 11 Pages.

Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool for dealing with uncertainty, and indeterminate, incomlete, and inprecise information. In the present study we develop a hybrid structure called “rough bipoar neutrsophic set”. In the study, we define rough bipoar neutrsophic set and define union, complement, intersection and containment of rough bipolar neutrosophic sets.

**Category:** General Mathematics

[1958] **viXra:1701.0162 [pdf]**
*submitted on 2017-01-03 13:10:06*

**Authors:** I. Arockiarani, C. Antony Crispin Sweety

**Comments:** 14 Pages.

In this paper, we define the rough neutrosophic relation of two universe sets and study the algebraic properties of two rough neutrosophic relations that are interesting in the theory of rough sets. Finally, we present the similarity rough neutrosophic relation with an example.

**Category:** General Mathematics

[1957] **viXra:1701.0161 [pdf]**
*submitted on 2017-01-03 13:12:18*

**Authors:** Shelda Sajeev, Mariusz, Gobert Lee

**Comments:** 9 Pages.

Segmentation of Breast Masses in Local Dense Background using Adaptive Clip Limit-CLAHE.

**Category:** General Mathematics

[1956] **viXra:1701.0160 [pdf]**
*submitted on 2017-01-03 13:13:15*

**Authors:** Edmundas Kazimieras Zavadskas, Romualdas Baušys, Dragisa Stanujkic, Marija Magdalinovic-Kalinovic

**Comments:** 8 Pages.

In this paper, selection of adequate circuit design of lead-zinc froth flotation, which has a significant impact on the processing costs and useful minerals utilization, is considered.

**Category:** General Mathematics

[1955] **viXra:1701.0157 [pdf]**
*submitted on 2017-01-03 13:16:50*

**Authors:** Vakkas Ulucay, Irfan Deli, Mehmet Sahin

**Comments:** 10 Pages.

In this paper, we introduced some similarity measures for bipolar neutrosophic sets such as; Dice similarity measure, weighted Dice similarity measure, Hybrid vector similarity measure and weighted Hybrid vector similarity measure.

**Category:** General Mathematics

[1954] **viXra:1701.0156 [pdf]**
*submitted on 2017-01-03 13:19:06*

**Authors:** Zhang-peng Tian, Jing Wang, Jian-qiang Wang, Hong-yu Zhang

**Comments:** 31 Pages.

For many companies, green product development has become a key strategic consideration due to regulatory requirements and market trends. In this paper, the life cycle assessment technique is used to develop an innovative multi-criteria group decision-making approach that incorporates power aggregation operators and a TOPSIS-based QUALIFLEX method in order to solve green product design selection problems using neutrosophic linguistic information.

**Category:** General Mathematics

[1953] **viXra:1701.0155 [pdf]**
*submitted on 2017-01-03 13:19:54*

**Authors:** Muhammad Akram, Muzzamal Sitara

**Comments:** 9 Pages.

A graph structure is a generalization of undirected graph which is quite useful in studying some structures, including graphs and signed graphs. In this research paper, we apply the idea of single-valued neutrosophic sets to graph structure, and explore some interesting properties of single-valued neutrosophic graph structure. We also discuss the concept of φ-complement of single-valued neutrosophic graph structure.

**Category:** General Mathematics

[1952] **viXra:1701.0154 [pdf]**
*submitted on 2017-01-03 13:21:51*

**Authors:** A. Borumand Saeid, A. Ahadpanah, L.Torkzadeh

**Comments:** 9 Pages.

In this article we define theSmarandache BE-Algebra.

**Category:** General Mathematics

[1951] **viXra:1701.0152 [pdf]**
*submitted on 2017-01-03 13:27:11*

**Authors:** M. Khoshnevian

**Comments:** 7 Pages.

In this paper we present the Smarandache's Concurent Lines Theorem in the geometry of polygon.

**Category:** General Mathematics

[1950] **viXra:1701.0151 [pdf]**
*submitted on 2017-01-03 13:29:01*

**Authors:** Süleyman Şenyurt, Yasin Altun, Ceyda Cevahir

**Comments:** 5 Pages.

In this paper, we investigate the Smarandache curves according to Sabban frame of ﬁxed pole curve which drawn by the unit Darboux vector of the Bertrand partner curve. Some results have been obtained. These results were expressed as the depends Bertrand curve.

**Category:** General Mathematics

[1949] **viXra:1701.0150 [pdf]**
*submitted on 2017-01-03 13:32:14*

**Authors:** M. Elzawy, S. Mosa

**Comments:** 4 Pages.

In this paper,we study Smarandache curves in
the 4-dimensional Galilean space G4. We obtain
Frenet Serret invariants for the Smarandache
curve in G4.

**Category:** General Mathematics

[1948] **viXra:1701.0146 [pdf]**
*submitted on 2017-01-03 13:37:19*

**Authors:** Ion Patrascu

**Comments:** 6 Pages.

An example of a Smarandache geometry.

**Category:** General Mathematics

[1947] **viXra:1701.0144 [pdf]**
*submitted on 2017-01-03 13:40:12*

**Authors:** Bui Cong Cuong, Roan Thi Ngan, Le Chi Ngoc

**Comments:** 20 Pages.

In 2013 we introduced a new notion of picture fuzzy sets (PFS), which are direct extensions of the fuzzy sets and the intuitonistic fuzzy sets.

**Category:** General Mathematics

[1946] **viXra:1701.0143 [pdf]**
*submitted on 2017-01-03 13:41:00*

**Authors:** P.A.Hummadi, H.M.Yassin

**Comments:** 7 Pages.

In this paper, we study Smarandache special definite groups. We give necessary and sufficient conditions for a group to be Smarandache special definite group(S-special definite group). Moreover we study Smarandache special definite subgroups, Smarandache special definite maximal ideals, Smarandache special definite minmal ideals.

**Category:** General Mathematics

[1945] **viXra:1701.0141 [pdf]**
*submitted on 2017-01-03 13:44:11*

**Authors:** Nurten Gurses, Ozcan Bektas‚ Salim Yuce

**Comments:** 18 Pages.

In differential geometry, there are many important consequences and properties of curves studied by some authors [1, 2, 3]. Researchers always introduce some new curves by using the existing studies.

**Category:** General Mathematics

[1944] **viXra:1701.0140 [pdf]**
*submitted on 2017-01-03 07:25:38*

**Authors:** Sun Wei-cha, Xu Ai-qiang, J. Wen-hui

**Comments:** 9 Pages.

Approaches for Combination of Interval-Valued Belief Structures.

**Category:** General Mathematics

[1943] **viXra:1701.0138 [pdf]**
*submitted on 2017-01-03 07:27:57*

**Authors:** Nouran M. Radwan, M. Badr Senousy, Alaa El Din M. Riad

**Comments:** 10 Pages.

The notion of uncertainty in expert systems is dealing with vague data, incomplete information, and imprecise knowledge. Different uncertainty types which are imprecision, vagueness, ambiguity, and inconsistence need different handling models.

**Category:** General Mathematics

[1942] **viXra:1701.0137 [pdf]**
*submitted on 2017-01-03 07:29:31*

**Authors:** Pu Ji, Hong-yu Zhang, Jian-qiang Wang

**Comments:** 14 Pages.

The personnel selection is a vital activity for companies, and multi-valued neutrosophic sets (MVNSs) can denote the fuzziness and hesitancy in the processes of the personnel selection.

**Category:** General Mathematics

[1941] **viXra:1701.0136 [pdf]**
*submitted on 2017-01-03 07:33:47*

**Authors:** I. Deli, Y. Şubaş

**Comments:** 14 Pages.

The concept of a single valued neutrosophic number (SVN-number) is of importance for quantifying an ill-known quantity and the ranking of SVN-numbers is a very difﬁcult problem in multi-attribute decision making problems.

**Category:** General Mathematics

[1940] **viXra:1701.0134 [pdf]**
*submitted on 2017-01-03 07:35:36*

**Authors:** M.Rajeswari, J.Parveen Banu

**Comments:** 9 Pages.

In this paper, we are study about some basic definitions related to Graphs and Neutrosophic graphs. Some properties for the neutrosophic graphs associated with the Neutrosophic bigraphs. By applying some neutrosophic cognitive map and techniques in Neutrosophic models.

**Category:** General Mathematics

[1939] **viXra:1701.0133 [pdf]**
*submitted on 2017-01-03 07:36:53*

**Authors:** Jin-Hee Cho, Kevin Chan, Sibel Adali

**Comments:** 40 Pages.

The concept of trust and/or trust management has received considerable attention in engineering research communities as trust is perceived as the basis for decision making in many contexts and the motivation for maintaining long-term relationships based on cooperation and collaboration.

**Category:** General Mathematics

[1938] **viXra:1701.0132 [pdf]**
*submitted on 2017-01-03 07:38:28*

**Authors:** Shoba Dyre, C.P. Sumathi

**Comments:** 17 Pages.

Automatic Fingerprint authentication for personal identification and verification has received considerable attention over the past decades among various biometric techniques because of the distinctiveness and persistence properties of fingerprints.

**Category:** General Mathematics

[1937] **viXra:1701.0131 [pdf]**
*submitted on 2017-01-03 07:39:42*

**Authors:** Srilatha V., Veeramuthu Venkatesh

**Comments:** 7 Pages.

Trustworthy contextual data of human action recognition of remotely monitored person who requires medical care should be generated to avoid hazardous situation and also to provide ubiquitous services in home-based care. It is difficult for numerous reasons. At first level, the data obtained from heterogeneous source have different level of uncertainty.

**Category:** General Mathematics

[1936] **viXra:1701.0130 [pdf]**
*submitted on 2017-01-03 07:41:02*

**Authors:** Mehrdad Moghbel, Syamsiah Mashohor, Rozi Mahmud, M. Iqbal Bin Saripan

**Comments:** 18 Pages.

Segmentation of liver tumors from Computed Tomography (CT) and tumor burden analysis play an important role in the choice of therapeutic strategies for liver diseases and treatment monitoring. In this paper, a new segmentation method for liver tumors from contrast-enhanced CT imaging is proposed.

**Category:** General Mathematics

[1935] **viXra:1701.0129 [pdf]**
*submitted on 2017-01-03 07:43:57*

**Authors:** Temitope Gbolahan Jaiyeola

**Comments:** 10 Pages.

The basic properties of S2ndBLs are studied. These properties are all Smarandache in nature. The results in this work generalize the basic properties of Bol loops, found in the Ph.D. thesis of D. A. Robinson. Some questions for further studies are raised.

**Category:** General Mathematics

[1934] **viXra:1701.0128 [pdf]**
*submitted on 2017-01-03 07:47:02*

**Authors:** Linfan Mao

**Comments:** 28 Pages.

However, even if it is non-solvable, it charac
terizes biological systems also if it can be classiﬁed into solvable subsystems. The
main purpose of this paper is to characterize the biological behavior of such systems with global stability by a combinatorial approach, i.e., establish the relationship between solvable subsystems of a biological n-system with Eulerian subgraphs of la beling bi-digraph of→ G, characterize n-system with linear growth rate and the global stability on subgraphs.

**Category:** General Mathematics

[1933] **viXra:1701.0127 [pdf]**
*submitted on 2017-01-03 08:49:03*

**Authors:** I. Deli, Y. Şubaş

**Comments:** 12 Pages.

This paper proposes concept of bipolar neutrosophic refined set and its some operations. Firstly, a score certainty and accuracy function to compare the bipolar neutrosophic refined information is defined. Secondly, to aggregate the bipolar neutrosophic refined information, a bipolar neutrosophic refined weighted average operator and a bipolar neutrosophic refined weighted geometric operator is developed.

**Category:** General Mathematics

[1932] **viXra:1701.0126 [pdf]**
*submitted on 2017-01-03 08:50:11*

**Authors:** Mehmet Şahin, İrfan Deli, Vakkas Uluçay

**Comments:** 10 Pages.

In this paper, we introduce concept of bipolar neutrosophic soft expert set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic soft expert sets. We give examples for these concepts.

**Category:** General Mathematics

[1931] **viXra:1701.0125 [pdf]**
*submitted on 2017-01-03 08:51:45*

**Authors:** Shaima Elnazer, Mohamed Morsy, Mohy Eldin A.Abo-Elsoud

**Comments:** 7 Pages.

An improved segmentation approach based on Neutrosophic sets (NS) and Modified Non local Fuzzy c-mean clustering (NLFCM) is proposed. The brain tumor MRI image is transformed into NS domain, which is described using three subsets namely; the percentage of truth in a subset T%, the percentage of indeterminacy in a subset I% , and the percentage of falsity in a subset F%.

**Category:** General Mathematics

[1930] **viXra:1701.0124 [pdf]**
*submitted on 2017-01-03 08:52:53*

**Authors:** Mircea Eugen Şelariu

**Comments:** 11 Pages.

The evolutive supermathematical functions (FSM ─ Ev) are discussed in the papers [1], [2], [3], [4], [5], [6], [7], [8].They are combinations of the four types of FSM (centric functions (FC), excentric functions (FE), elevated functions (FEl) and exotic functions (FEx), taken by two, called centricoexcentric functions, elevatoexotic functions, centricoelevated functions, and so forth).

**Category:** General Mathematics

[1929] **viXra:1701.0123 [pdf]**
*submitted on 2017-01-03 08:55:39*

**Authors:** Paul K. Davis, David Manheim, Walter L. Perry, John S. Hollywood

**Comments:** 24 Pages.

We describe research fusing heterogeneous information in an effort eventually to detect terrorists, reduce false alarms, and exonerate those falsely identified. The specific research is more humble, using synthetic data and first versions of fusion methods. Both the information and the fusion methods are subject to deep uncertainty.

**Category:** General Mathematics

[1928] **viXra:1701.0122 [pdf]**
*submitted on 2017-01-03 08:56:31*

**Authors:** Muhammad Akram, Anam Luqman

**Comments:** 20 Pages.

A directed hypergraph is powerful tool to solve the problems that arises in diﬀerent ﬁelds, including computer networks, social networks and collaboration networks. In this research paper, we apply the concept of single-valued neutrosophic sets to directed hypergraphs.

**Category:** General Mathematics

[1927] **viXra:1701.0121 [pdf]**
*submitted on 2017-01-03 08:58:17*

**Authors:** Azeddine Elhassouny, Souﬁane Idbraim, Driss Mammass, Danielle Ducrot

**Comments:** 6 Pages.

The objective of this work is, in the ﬁrst place, the integration in a fusion process using hybrid DSmT model, both, the contextual information obtained from a supervised ICM classiﬁcation with constraints and the temporal information with the use of two images taken at two different dates.

**Category:** General Mathematics

[1926] **viXra:1701.0120 [pdf]**
*submitted on 2017-01-03 08:59:21*

**Authors:** N. Kannappa, B. Fairosekani

**Comments:** 6 Pages.

In this paper, we introduce the Smarandache-2-algebraic structure of soft neutrosophic near-ring, namely Smarandache-soft neutrosophic near-ring.

**Category:** General Mathematics

[1925] **viXra:1701.0119 [pdf]**
*submitted on 2017-01-03 09:03:57*

**Authors:** S. Maharasi, V. Mahalakshmi, S. Jayalakshmi

**Comments:** 10 Pages.

In this paper, with a new idea, we define weak bi-ideal and investigate some of its properties. We characterize weak bi-ideal by biideals of bi-near ring.

**Category:** General Mathematics

[1924] **viXra:1701.0118 [pdf]**
*submitted on 2017-01-03 09:05:05*

**Authors:** Alexandre Delahaye

**Comments:** 159 Pages.

Face à l’accroissement de la résolution spatiale des capteurs optiques satellitaires, de nouvelles stratégies doivent être développées pour classifier les images de télédétection.

**Category:** General Mathematics

[1923] **viXra:1701.0117 [pdf]**
*submitted on 2017-01-03 09:06:23*

**Authors:** Sebastian Breker, Bernhard Sick

**Comments:** 10 Pages.

The use of expert knowledge is always more or less afﬂicted with uncertainties for many reasons: Expert knowledge may be imprecise, imperfect, or erroneous, for instance.

**Category:** General Mathematics

[1922] **viXra:1701.0116 [pdf]**
*submitted on 2017-01-03 09:08:25*

**Authors:** Henry Ibstedt

**Comments:** 21 Pages.

This study has been inspired by questions asked by Ch. Ashbacher in the Journal of Recreational Maathematics.

**Category:** General Mathematics

[1921] **viXra:1701.0112 [pdf]**
*submitted on 2017-01-03 09:29:04*

**Authors:** Steven A. Israel, Erik Blasch

**Comments:** 26 Pages.

Decision support systems enable users to quickly assess data, but they require signiﬁcant resources to develop and are often relevant to limited domains. This chapter identiﬁes the implicit assumptions that require contextual analysis for decision support systems to be effective for providing a relevant threat assessment.

**Category:** General Mathematics

[1920] **viXra:1701.0111 [pdf]**
*submitted on 2017-01-03 09:32:34*

**Authors:** Sarah Calderwood, Kevin McAreavey, Weiru Liu, Jun Hong

**Comments:** 26 Pages.

There has been much interest in the Belief-Desire-Intention (BDI) agentbased model for developing scalable intelligent systems, e.g. using the AgentSpeak framework. However, reasoning from sensor information in these large-scale systems remains a signiﬁcant challenge.

**Category:** General Mathematics

[1919] **viXra:1701.0110 [pdf]**
*submitted on 2017-01-03 09:34:10*

**Authors:** Chunfang Liua, YueSheng Luo

**Comments:** 7 Pages.

The simpliﬁed neutrosophic set (SNS) is a generalization of the fuzzy set that is designed for some incomplete, uncertain and inconsistent situations in which each element has different truth membership, indeterminacy membership and falsity membership functions.

**Category:** General Mathematics

[1918] **viXra:1701.0109 [pdf]**
*submitted on 2017-01-03 09:36:18*

**Authors:** Lilian Shi

**Comments:** 17 Pages.

In order to process the vagueness in vibration fault diagnosis of rolling bearing, a new correlation coefficient of simplified neutrosophic sets (SNSs) is proposed. Vibration signals of rolling bearings are acquired by an acceleration sensor, and a morphological filter is used to reduce the noise effect.

**Category:** General Mathematics

[1917] **viXra:1701.0108 [pdf]**
*submitted on 2017-01-03 09:37:36*

**Authors:** Rıdvan Sahin, Peide Liu

**Comments:** 9 Pages.

As a combination of the hesitant fuzzy set (HFS) and the single-valued neutrosophic set (SVNS), the single-valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real life, which consists of three membership functions including hesitancy, as the truthhesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompasses the fuzzy set, intuitionistic fuzzy set (IFS), HFS, dual hesitant fuzzy set (DHFS) and SVNS. Correlation and correlation coefﬁcient have been applied widely in many research domains and practical ﬁelds.

**Category:** General Mathematics

[1916] **viXra:1701.0107 [pdf]**
*submitted on 2017-01-03 09:38:36*

**Authors:** Jun YE

**Comments:** 24 Pages.

This paper proposes the concept of an interval neutrosophic hesitant fuzzy set (INHFS) and the operational relations of INHFSs. Then, we develop correlation coeﬃcients of INHFSs and investigate the relation between the similarity measures and the correlation coeﬃcients.

**Category:** General Mathematics

[1915] **viXra:1701.0103 [pdf]**
*submitted on 2017-01-03 09:43:16*

**Authors:** I. R. Sumathi, I.Arockiarani

**Comments:** 10 Pages.

In this paper we have introduced the concept of cosine similarity measures for neutrosophic soft set and interval valued neutrosophic soft set.An application is given to show its practicality and eﬀectiveness.

**Category:** General Mathematics

[1914] **viXra:1701.0102 [pdf]**
*submitted on 2017-01-03 09:45:00*

**Authors:** Xiao-hui Wu, Jian-qiang Wang, Juan-juan Peng, Xiao-hong Chen

**Comments:** 13 Pages.

Simpliﬁed neutrosophic sets (SNSs) can effectively solve the uncertainty problems, especially those involving the indeterminate and inconsistent information. Considering the advantages of SNSs, a new approach for multi-criteria decision-making (MCDM) problems is developed under the simpliﬁed neutrosophic environment.

**Category:** General Mathematics

[1913] **viXra:1701.0101 [pdf]**
*submitted on 2017-01-03 09:46:24*

**Authors:** Jean Dezert, Deqiang Han, Jean-Marc Tacnet, Simon Carladous, Yi Yang

**Comments:** 9 Pages.

In this paper we propose a new general method for decisionmaking under uncertainty based on the belief interval distance. We show through several simple illustrative examples how this method works and its ability to provide reasonable results.

**Category:** General Mathematics

[1912] **viXra:1701.0100 [pdf]**
*submitted on 2017-01-03 09:48:11*

**Authors:** A. Sobchak, E. Shostak, T. Tseplyaeva, O. Popova, A. Firsova

**Comments:** 8 Pages.

Under conditions of post-industrial society, a steady trend is the formation and support of the functioning of virtual instrument-making enterprises (VIE) in the field of high technologies.

**Category:** General Mathematics

[1911] **viXra:1701.0098 [pdf]**
*submitted on 2017-01-03 09:51:13*

**Authors:** Mehmet Serhat CAN, Ömerül Faruk ÖZGÜVEN

**Comments:** 13 Pages.

In this paper, we propose a method based on the fuzzy logic controller (FLC) method, created by using neutrosophic membership values. This method is named as proportional integral derivative-neutrosophic valued fuzzy logic controller (PID-NFLC).

**Category:** General Mathematics

[1910] **viXra:1701.0097 [pdf]**
*submitted on 2017-01-03 09:52:40*

**Authors:** Preeti Meena, Malti Bnasal

**Comments:** 6 Pages.

This research paper proposes an intellectual method for the classification of different types of Electromyography (EMG) signals like normal, myopathy and neuropathy signals. Inside the human body, contraction of muscles and nerves occur at every second.

**Category:** General Mathematics

[1909] **viXra:1701.0096 [pdf]**
*submitted on 2017-01-03 09:53:45*

**Authors:** Ilanthenral Kandasamy

**Comments:** 20 Pages.

Neutrosophy (neutrosophic logic) is used to represent uncertain, indeterminate, and inconsistent information available in the real world.

**Category:** General Mathematics

[1908] **viXra:1701.0095 [pdf]**
*submitted on 2017-01-03 09:56:04*

**Authors:** Oussama Derbel, Rene Jr. Landry

**Comments:** 6 Pages.

This paper proposes a driving risk model based on the information given from the driver-vehicle-enviroment entities.

**Category:** General Mathematics

[1907] **viXra:1701.0094 [pdf]**
*submitted on 2017-01-03 09:57:19*

**Authors:** Guo Qiang, He You

**Comments:** 7 Pages.

To improve the correct radar emitter recognition rate in cases that radar emitter characteristic parameters are overlapped with each other and existence of multiple modes, a DSm (Dezert-Smarandache) evidence modeling and radar emitter fusion recognition method based on cloud model is proposed.

**Category:** General Mathematics

[1906] **viXra:1701.0093 [pdf]**
*submitted on 2017-01-03 09:59:09*

**Authors:** Suha Yılmaz, Umit Ziya Savcı

**Comments:** 4 Pages.

In this work, curves of constant breadth are deﬁned and some characterizations of closed dual curves of constant breadth according to Bishop frame are presented in dual Euclidean space. Also, it has been obtained that a third order vectorial differential equation in dual Euclidean 3-space.

**Category:** General Mathematics

[1905] **viXra:1701.0092 [pdf]**
*submitted on 2017-01-03 10:01:00*

**Authors:** Tanju Kahraman, Hasan Hüseyin Ugurlu

**Comments:** 13 Pages.

In this paper, we give Darboux approximation for dual Smarandache curves of time like curve on unit dual Lorentzian sphere.

**Category:** General Mathematics

[1904] **viXra:1701.0091 [pdf]**
*submitted on 2017-01-03 10:02:17*

**Authors:** Gheorghe Săvoiu, Vasile Dinu, Emilia Gogu, Hosney Zurub

**Comments:** 16 Pages.

This paper describes, in its introduction, its main objective and some of its investigative premises,emphasizing the need to address micro- and macroeconomic models using the major principles of statistical thinking.

**Category:** General Mathematics

[1903] **viXra:1701.0088 [pdf]**
*submitted on 2017-01-03 10:04:18*

**Authors:** Hossein Jafari, Xiangfang Li, Lijun Qian

**Comments:** 8 Pages.

Dezert-Smarandache Theory (DSmT) of plausible and paradoxical reasoning has excellent performance when the data contain uncertainty or conﬂicting.

**Category:** General Mathematics

[1902] **viXra:1701.0087 [pdf]**
*submitted on 2017-01-03 10:06:01*

**Authors:** A.S. Shankar, A. Asokan, D. Sivakumar

**Comments:** 9 Pages.

Brain tumor is most vital disease which commonly penetrates in the human beings. Studies based on brain tumor confirm that people affected by brain tumors die due to their erroneous detection. In this paper, an enhancedFuzzy C- Means segmentation (FCM) technique is proposed for detecting brain tumor.

**Category:** General Mathematics

[1901] **viXra:1701.0086 [pdf]**
*submitted on 2017-01-03 10:09:09*

**Authors:** Simon Carladous, Jean-Marc Tacnet, Jean Dezert, Deqiang Han, Mireille Batton-Hubert

**Comments:** 8 Pages.

Real life Decision-Making Problems (DMPs) depend on several criteria for which precise or imperfect evaluation can be provided. Economic aspects are also of main importance to compare and choose strategies or measures. For instance, in mountainous areas, risk managers must rank several protective actions against torrential ﬂoods to choose the best one.

**Category:** General Mathematics

[1900] **viXra:1701.0085 [pdf]**
*submitted on 2017-01-03 10:10:02*

**Authors:** Yun Ye

**Comments:** 18 Pages.

An interval neutrosophic set (INS) is a subclass of a neutrosophic set and a generalization of an interval-valued intuitionistic fuzzy set, and then the characteristics of INS are independently described by the interval numbers of its truth-membership, indeterminacy-membership, and falsity-membership degrees.

**Category:** General Mathematics

[1899] **viXra:1701.0084 [pdf]**
*submitted on 2017-01-03 10:14:23*

**Authors:** Refaul Ferdous, Faisal Khan, Rehan Sadiq, Paul Amyotte, Brian Veitch

**Comments:** 22 Pages.

Process systems in chemical engineering are infamous for fugitive emissions, toxic releases, ﬁre and explosions, and operation disruptions. These incidents have considerable potential to cause an accident and incur environmental and property damage, economic loss, sickness, injury, or death of workers in the vicinity.

**Category:** General Mathematics

[1898] **viXra:1701.0083 [pdf]**
*submitted on 2017-01-03 10:15:43*

**Authors:** Yun Ye

**Comments:** 14 Pages.

This paper proposes a dimension root distance and its similarity measure of single-valued neutrosophic sets (SVNSs), and then develops the fault diagnosis method of hydraulic turbine by using the dimension root similarity measure of SVNSs.

**Category:** General Mathematics

[1897] **viXra:1701.0082 [pdf]**
*submitted on 2017-01-03 10:18:45*

**Authors:** Zhigang Yao, Jean-Marie Le Bars, Christophe Charrier, Christophe Rosenberger

**Comments:** 18 Pages.

This article chieﬂy focuses on Fingerprint Quality Assessment(FQA)applied to the Automatic Fingerprint Identiﬁcation System (AFIS). In our research work, different FQA solutions proposed so far are compared by using several quality metrics selected from the existing studies.

**Category:** General Mathematics

[1896] **viXra:1701.0081 [pdf]**
*submitted on 2017-01-03 10:20:43*

**Authors:** E.M.El-Nakeeb, Hewayda El Ghawalby, A.A.Salama, S.A.El-Hafeez

**Comments:** 23 Pages.

The aim in this paper is to introduce a new approach to mathematical morphology
based on neutrosophic set theory. Basic definitions for neutrosophic morphological
operations are extracted and a study of its algebraic properties is presented. In our
work we demonstrate that neutrosophic morphological operations inherit properties
and restrictions of fuzzy mathematical morphology.

**Category:** General Mathematics

[1895] **viXra:1701.0079 [pdf]**
*submitted on 2017-01-03 10:23:09*

**Authors:** S.Mohana Prakash, P.Betty, K.Sivanarulselvan

**Comments:** 5 Pages.

Abstract-Biometrics is used to uniquely identify a person‘s individual based on physical and behavioural characteristics. Unimodal biometric system contains various problems such as degree of freedom, spoof attacks, non-universality, noisy data and error rates.

**Category:** General Mathematics

[1894] **viXra:1701.0078 [pdf]**
*submitted on 2017-01-03 10:24:55*

**Authors:** J. Martina Jency, I. Arockiarani

**Comments:** 9 Pages.

This paper introduces the concept of fuzzy neutrosophic equivalence relations and discuss some of their properties.Also we define fuzzy neutrosophic transitive closure and investigate their properties.

**Category:** General Mathematics

[1893] **viXra:1701.0076 [pdf]**
*submitted on 2017-01-03 10:27:24*

**Authors:** I. Arockiarani, J. Martina Jency

**Comments:** 14 Pages.

The focus of this paper is to present the concept of fuzzy neutrosophic relations. Further we study the composition of fuzzy neutrosophic relations with the choice of t-norms and tconorms and characterize their properties.

**Category:** General Mathematics

[1892] **viXra:1701.0075 [pdf]**
*submitted on 2017-01-03 10:28:27*

**Authors:** I.R.Sumath, I.Arockiarani

**Comments:** 7 Pages.

In this paper we propose the three types of similarity measures between fuzzy neutrosophic soft sets based on value matrix of fuzzy neutrosophic soft sets. Furthermore, we demonstrate the efficiency of the proposed similarity measures through the application in decision making.

**Category:** General Mathematics

[1891] **viXra:1701.0074 [pdf]**
*submitted on 2017-01-03 10:29:19*

**Authors:** J. Martina Jency, I.arockiarani

**Comments:** 12 Pages.

In this paper we introduce the notion of fuzzy neutrosophic subgroups. Also we obtain the fuzzy neutrosophic subgroups generated by fuzzy neutrosophic set and investigate some of their properties.

**Category:** General Mathematics

[1890] **viXra:1701.0073 [pdf]**
*submitted on 2017-01-03 10:30:31*

**Authors:** Sorin Nadaban, Simona Dzitac, Ioan Dzitac

**Comments:** 9 Pages.

The aim of this survey paper is to oﬀer a general view of the developments of fuzzy TOPSIS methods. We begin with a literature review an we explore diﬀerent fuzzy models that have been applied to the decision making ﬁeld. Finally, we present some applications of fuzzy TOPSIS.

**Category:** General Mathematics

[1889] **viXra:1701.0072 [pdf]**
*submitted on 2017-01-03 10:31:36*

**Authors:** Adrian Rubio-Solis, George Panoutsos

**Comments:** 8 Pages.

In this paper we introduce a fuzzy uncertainty assessment methodology based on Neutrosophic Sets (NS). This is achieved via the implementation of a Radial Basis Function Neural-Network (RBF-NN) for multiclass classiﬁcation that is functionally equivalent to a class of Fuzzy Logic Systems (FLS).

**Category:** General Mathematics

[1888] **viXra:1701.0071 [pdf]**
*submitted on 2017-01-03 10:39:35*

**Authors:** Hee Sik Kim Neggers, Keum Sook So

**Comments:** 10 Pages.

In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents.Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci sequences.

**Category:** General Mathematics

[1887] **viXra:1701.0070 [pdf]**
*submitted on 2017-01-03 10:41:07*

**Authors:** Bingyi Kang, Hongming Mo, Rehan Sadiq, Yong Deng

**Comments:** 11 Pages.

A fuzzy cognitive maps (FCM) is a cognitive map within the relations between the elements. FCM has been widely used in many applicati

**Category:** General Mathematics

[1886] **viXra:1701.0068 [pdf]**
*submitted on 2017-01-03 10:44:15*

**Authors:** Yilin Dong, Xinde Li, Jean Dezert, Pei Li, Xianghui Li

**Comments:** 41 Pages.

Recent studies of alternative Probabilistic Transformation (PT) in Dempster Shafer (DS) theory have mainly focused on investigating various schemes for assigning the mass of compound focal elements to each singleton in order to obtain Bayesian belief function for decision making problems.

**Category:** General Mathematics

[1885] **viXra:1701.0067 [pdf]**
*submitted on 2017-01-03 05:02:46*

**Authors:** Simon Maskell

**Comments:** 19 Pages.

The Dezert–Smarandache theory (DSmT) and transferable belief model (TBM) both address concerns with the Bayesian methodology as spplied to applications involving the fusion of uncertain, imprecise and conﬂicting information. In this paper, we revisit these concerns regarding the Bayesian methodology in the light of recent developments in the context of the DSmT and TBM. We show that, by exploiting recent advances in the Bayesian research arena, one can devise and analyse Bayesian models that have the same emergent properties as DSmT and TBM. Speciﬁcally, we deﬁne Bayesian models that articulate uncertainty over the value of probabilities (including multimodal distributions that result from conﬂicting information) and we use a minimum expected cost criterion to facilitate making decisions that involve hypotheses that are not mutually exclusive. We outline our motivation for using the Bayesian methodology and also show that the DSmT and TBM models are computationally expedient approaches to achieving the same endpoint. Our aim is to provide a conduit between these two communities such that an objective view can be shared by advocates of all the techniques.

**Category:** General Mathematics

[1884] **viXra:1701.0066 [pdf]**
*submitted on 2017-01-03 05:06:21*

**Authors:** Xinde Li, Fengyu Wang

**Comments:** 24 Pages.

Aiming at the counterintuitive phenomena of the Dempster–Shafer method in combining the highly conﬂictive evidences, a combination method of evidences based on the clustering analysis is proposed in this paper. At ﬁrst, the cause of conﬂicts is disclosed from the point of view of the internal and external contradiction. Andthen,a new similarity measure based on it is proposed by comprehensively considering the Pignistic distance and the sequence according to the size of the basic belief assignments over focal elements.

**Category:** General Mathematics

[1883] **viXra:1701.0065 [pdf]**
*submitted on 2017-01-03 05:12:15*

**Authors:** Temitope Gbolahan Jaiyeola

**Comments:** 7 Pages.

The present study further strengthens the use of the Keedwell CIPQ against attack on a system by the use of the Smarandache Keedwell CIPQ for cryptography in a similar spirit in which the cross inverse property has been used by Keedwell. This is done as follows. By constructing two S-isotopic S-quasigroups(loops) U and V such that their Smarandache automorphism groups are not trivial, it is shown that U is a SCIPQ(SCIPL) if and only if V is a SCIPQ(SCIPL). Explanations and procedures are given on how these SCIPQs can be used to double encrypt information.

**Category:** General Mathematics

[1882] **viXra:1701.0064 [pdf]**
*submitted on 2017-01-03 05:13:40*

**Authors:** Yun Ye

**Comments:** 11 Pages.

Based on the concept of neutrosophic linguistic numbers (NLNs) in symbolic neutrosophic theory presented by Smarandache in 2015, the paper firstly proposes basic operational laws of NLNs and the expected value of a NLN to rank NLNs. Then, we propose the NLN weighted arithmetic average (NLNWAA) and NLN weighted geometric average (NLNWGA) operators and discuss their properties. Further, we establish a multiple attribute group decision-making (MAGDM) method by using the NLNWAA and NLNWGA operators under NLN environment. Finally, an illustrative example on a decision-making problem of manufacturing alternatives in the flexible manufacturing system is given to show the application of the proposed MAGDM method.

**Category:** General Mathematics

[1881] **viXra:1701.0063 [pdf]**
*submitted on 2017-01-03 05:15:40*

**Authors:** Mutasem K. Alsmadi

**Comments:** 10 Pages.

It is really important to diagnose jaw tumor in its early stages to improve its prognosis. A differential diagnosis could be performed using X-ray images; therefore, accurate and fully automatic jaw lesions image segmentation is a challenging and essential task. The aim of this work was to develop a novel, fully automatic and effective method for jaw lesions in panoramic X-ray image segmentation. The hybrid Fuzzy C-Means and Neutrosophic approach is used for segmenting jaw image and detecting the jaw lesion region in panoramic X-ray images which may help in diagnosing jaw lesions.

**Category:** General Mathematics

[1880] **viXra:1701.0062 [pdf]**
*submitted on 2017-01-03 05:18:40*

**Authors:** Xindong Peng, Chong Liu

**Comments:** 11 Pages.

This paper presents two novel single-valued neutrosophic soft set (SVNSS) methods. First,we initiate a new axiomatic deﬁnition of single-valued neutrosophic simlarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information. Then, the objective weights of various parameters are determined via grey system theory. Combining objective weights with subjective weights, we present the combined weights, which can reﬂect both the subjective considerations of the decision maker and the objective information. Later, we present two algorithms to solve decision making problem based on Evaluation based on Distance from Average Solution (EDAS) and similarity measure. Finally, the effectiveness and feasibility of approaches are demonstrated by a numerical example.

**Category:** General Mathematics

[1879] **viXra:1701.0061 [pdf]**
*submitted on 2017-01-03 05:22:36*

**Authors:** Henry Ibstedt

**Comments:** 13 Pages.

This study is an extentionof work done by Ch. Ashbacher.Iteration results have been refined in terms of invariants and loops.

**Category:** General Mathematics

[1878] **viXra:1701.0060 [pdf]**
*submitted on 2017-01-03 05:23:52*

**Authors:** Ishmeet Kaur, Lalit Mann Singh

**Comments:** 7 Pages.

Diabetic Retinopathy is a disease which causes a menace to the eyesight. The detection of this at an early stage can aid the person from vision loss. The examination of retinal blood vessel structure can help to detect the disease, so segmentation of retinal blood vessel vasculature is important and is appreciated by the ophthalmologists. In this paper, we present the approach of blood vessel segmentation using computer intelligence by deploying fuzzy c-means and neutrosophic set.

**Category:** General Mathematics

[1877] **viXra:1701.0059 [pdf]**
*submitted on 2017-01-03 05:25:42*

**Authors:** Yildiray Celik

**Comments:** 9 Pages.

The concept of neutrosophic soft set is a new mathematical tool for dealing with uncertainties that is free from the diﬃculties aﬀecting existing methods. The theory has rich potential for applications in several directions. In this paper, a new approach is proposed to construct the decision method for medical diagnosis by using fuzzy neutrosophic soft sets. Also, we develop a technique to diagnose which patient is suﬀering from what disease. Our data with respect to the case study has been provided by the a medical center in Ordu, Turkey.

**Category:** General Mathematics

[1876] **viXra:1701.0058 [pdf]**
*submitted on 2017-01-03 05:26:46*

**Authors:** Lihua Yang, Baolin Li

**Comments:** 10 Pages.

As a generalization of intuitionistic fuzzy sets, neutrosophic sets (NSs) can be better handle the incomplete, indeterminate and inconsistent information, which have attracted the widespread concerns for researchers.

**Category:** General Mathematics

[1875] **viXra:1701.0057 [pdf]**
*submitted on 2017-01-03 05:28:31*

**Authors:** Rodolfo Alvarado-Cervantes, Edgardo M. Felipe-Riveron, Vladislav Khartchenko, Oleksiy Pogrebnyak

**Comments:** 17 Pages.

In this article, we present an adaptive color similarity function deﬁned in a modiﬁed hue-saturationintensity color space, which can be used directly as a metric to obtain pixel-wise segmentation of color images among other applications. The color information of every pixel is integrated as a unit by an adaptive similarity function thus avoiding color information scattering.

**Category:** General Mathematics

[1874] **viXra:1701.0056 [pdf]**
*submitted on 2017-01-03 05:32:36*

**Authors:** Stefan Korolija, Eva Tuba, Milan Tuba

**Comments:** 8 Pages.

Digital images and digital image processing were widely researched in the past decades and special place in this ﬁeld have medical images. Magnetic resonance images are a very important class of medical images and their enhancement is very signiﬁcant for diagnostic process.

**Category:** General Mathematics

[1873] **viXra:1701.0055 [pdf]**
*submitted on 2017-01-03 05:34:01*

**Authors:** .Ashit Kumar Dutta

**Comments:** 3 Pages.

Cancer is considered as a most dangerous disease in the world. The research shows that there is no medicine to cure the disease. Chemotherapy is one of the treatments to prolong the patient life time but the side effects cause more problems for the patient. Cognitive maps discovered many solutions for the complex problems.

**Category:** General Mathematics

[1872] **viXra:1701.0054 [pdf]**
*submitted on 2017-01-03 05:35:29*

**Authors:** Anchal Sharma, Shaveta Rani

**Comments:** 5 Pages.

—Conceptual Segmentation is a critical technique in medical imaging. The Processes of identification and division of optic circle and veins are the fundamental strides for the analysis of a few infections that causes visual deficiency like diabetic retinopathy, hypertension, glaucoma and different visual deficiency ailment.

**Category:** General Mathematics

[1871] **viXra:1701.0053 [pdf]**
*submitted on 2017-01-03 05:38:14*

**Authors:** Guo Qiang, He You, Guan Xin, Gai Ming-jiu.

**Comments:** 7 Pages.

A DSmT Approximate Reasoning Method on the Condition of Non-zero Mutiple Focal Elements.

**Category:** General Mathematics

[1870] **viXra:1701.0052 [pdf]**
*submitted on 2017-01-03 05:50:29*

**Authors:** Mohammadreza Karimipoor, Vahid Abolghasemi, Saideh Ferdowsi

**Comments:** 7 Pages.

In this paper, a denoising method based on dictionary learning has been proposed. With the increasing use of digital images, the methods that can remove noise based on image content and not restrictedly based on statistical properties has been widely extended. The major weakness of dictionary learning methods is that all of these methods require a long training process and a very large storage memory for storing features extracted from the training images.

**Category:** General Mathematics

[1869] **viXra:1701.0051 [pdf]**
*submitted on 2017-01-03 05:53:10*

**Authors:** Edi Sutoyo, Mungad Mungad, Suraya Hamid, Tutut Herawan

**Comments:** 31 Pages.

Conflict analysis has been used as an important tool in economic,business,governmental and political dispute, games, management negotiations, military operations and etc.

**Category:** General Mathematics

[1868] **viXra:1701.0050 [pdf]**
*submitted on 2017-01-03 05:54:33*

**Authors:** D. Shona, M. Senthilkumar

**Comments:** 6 Pages.

The Hasty intensification of Internet communication and accessibility of systems to infringe the network, network security has become requisite. This paper focuses on development of efficient IDS in MANET.

**Category:** General Mathematics

[1867] **viXra:1701.0049 [pdf]**
*submitted on 2017-01-03 05:59:26*

**Authors:** B. Kavitha, D. Karthikeyan, P. Sheeba Maybell

**Comments:** 9 Pages.

In the real word it is a result that one most deal with uncertainty when security is concerned.

**Category:** General Mathematics

[1866] **viXra:1701.0048 [pdf]**
*submitted on 2017-01-03 06:00:59*

**Authors:** Mumtaz Ali, Nguyen Van Minh, Le Hoang Son

**Comments:** 76 Pages.

Neutrosophic set has the ability to handle uncertain, incomplete, inconsistent, indeterminate information in a more accurate way. In this paper, we proposed a neutrosophic recommender system to predict the diseases based on neutrosophic set which includes single-criterion neutrosophic recommender system (SCNRS) and multi-criterion neutrosophic recommender system (MC-NRS).

**Category:** General Mathematics

[1865] **viXra:1701.0047 [pdf]**
*submitted on 2017-01-03 06:05:13*

**Authors:** Qiang Guo, You He, Xin Guan, Li Deng, Lina Pan, Tao Jian

**Comments:** 11 Pages.

The computetional complexity of Dezert-Smarandache Theory increases exponentially with the linear increment of element number in the discernment frame, and it limits the wide applications and development of DSmT.

**Category:** General Mathematics

[1864] **viXra:1701.0046 [pdf]**
*submitted on 2017-01-03 06:09:12*

**Authors:** Qiang Guo, You He, Tao Jian, Haipeng Wang, Shutao Xia

**Comments:** 14 Pages.

Due to the huge computation complexity of Dezert-Smarandache Thery, its applications especiall for multi-source (more than two sources) complex fusion problems have been limited.

**Category:** General Mathematics

[1863] **viXra:1701.0045 [pdf]**
*submitted on 2017-01-03 06:11:37*

**Authors:** A. Thamaraiselvi, R. Santhi

**Comments:** 10 Pages.

Neutrosophic sets have been introduced as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets to represent uncertain,inconsistent,and incomplete information about areal world problem. For the first time, this paper attempts to introduce the mathematical representation of a transportation problem in neutrosophic environment.

**Category:** General Mathematics

[1862] **viXra:1701.0044 [pdf]**
*submitted on 2017-01-03 06:16:44*

**Authors:** Radim Jirousek, Prakash P. Shenoy

**Comments:** 29 Pages.

We propose a new deﬁnition of entropy for basic probability assignments (BPA) in the Dempster-Shafer (D-S) theory of belief functions, which is interpreted as a measure of total uncertainty in the BPA. Our deﬁnition is diﬀerent from the deﬁnitions proposed by H¨ohle, Smets, Yager, Nguyen, Dubois-Prade, Lamata-Moral, Klir-Ramer, Klir-Parviz, Pal et al., MaedaIchihashi, Harmanec-Klir, Jousselme et al., and Pouly et al. We state a list of ﬁve desired properties of entropy for D-S belief functions theory that are motivated by Shannon’s deﬁnition of entropy for probability functions together with the requirement that any deﬁnition should be consistent with the semantics of D-S belief functions theory.

**Category:** General Mathematics

[1861] **viXra:1701.0043 [pdf]**
*submitted on 2017-01-03 06:20:41*

**Authors:** Nouran M. Radwan, M.Badr Senousy, Alaa El M. Riad

**Comments:** 11 Pages.

There has been a sudden increase in the usage of Learning Managment Systems applicatios to support learner's learning process in higher education.

**Category:** General Mathematics

[1860] **viXra:1701.0041 [pdf]**
*submitted on 2017-01-03 06:22:34*

**Authors:** Rui Paúl, Eugenio Aguirre, Miguel García-Silvente, Rafael Muñoz-Salinas

**Comments:** 16 Pages.

This paper describes a system capable of detecting and tracking various people using a new approach based on color, stereo vision and fuzzy logic. Initially, in the people detection phase, two fuzzy systems are used to ﬁlter out false positives of a face detector.

**Category:** General Mathematics

[1859] **viXra:1701.0040 [pdf]**
*submitted on 2017-01-03 06:28:31*

**Authors:** Yang Yi, Han Deqiang, Jean Dezert

**Comments:** 10 Pages.

In the theory based on belief functions, the measure of uncertainty is an important concept, which is used for representing some types of uncertainty incorporated in bodies of evidence such as the discord and the non-specificity.

**Category:** General Mathematics

[1858] **viXra:1701.0039 [pdf]**
*submitted on 2017-01-03 06:30:33*

**Authors:** HU Lifanga, HE You, GUAN Xin, DENG Yong, HAN Deqiang

**Comments:** 12 Pages.

The mapping from the belief to the probability domain is a controversial issue, whose original purpose is to make (hard) decision, but for contrariwise to erroneous widespread idea/claim, this is not the only interest for using such mappings nowadays.

**Category:** General Mathematics

[1857] **viXra:1701.0038 [pdf]**
*submitted on 2017-01-03 06:32:52*

**Authors:** Şerif Özlü, İrfan Deli

**Comments:** 6 Pages.

In this paper, we give a new similarity measure on npn-soft set theory which is the extension of correlation measure of neutrosophic refined sets. By using the similarity measure we propose a new method for decision making problem. Finally, we give an example for diagnosis of diseases could be improved by incorporating clinical results and other competing diagnosis in npn-soft environment.

**Category:** General Mathematics

[1856] **viXra:1701.0036 [pdf]**
*submitted on 2017-01-03 06:36:38*

**Authors:** Partha Pratim Dey, Surapati Pramanik, Bibhas Chandra Giri

**Comments:** 12 Pages.

The paper proposes a multi-attribute decision making method based on extended grey relation analysis under interval neutrosophic environment. The interval neutrosophic set is an important decision making apparatus that can handle imprecise, indeterminate, inconsistence information.

**Category:** General Mathematics

[1855] **viXra:1701.0035 [pdf]**
*submitted on 2017-01-03 06:38:10*

**Authors:** Peide Liu, Lili Zhang

**Comments:** 15 Pages.

Neutrosophic hesitant fuzzy set is the generalization of neutrosophic set and the hesitant fuzzy set, which can easily express the uncertain, incomplete and inconsistent information in cognitive activity, and the VIKOR (from Serbian:VIseKriterijumska Optimizacija I Kompromisno Resenje) method is an effective decision making tool which can select the optimal alternative by the maximum ‘‘group utility’’ and minimum of an ‘‘individual regret’’ with cognitive computation.

**Category:** General Mathematics

[1854] **viXra:1701.0032 [pdf]**
*submitted on 2017-01-03 06:43:09*

**Authors:** JIN Hong-bin, LAN Jiang-qiao

**Comments:** 5 Pages.

The computational complexity of evidence theory is a hot issue in current research. Dezert-Smarandache theory (DSmT) introduces conflicting focal element, which makes the calculation complexity increases sharply. This paper starts with the focal element control rule used by the approximate calculation method mostly. The examples show that the improved rule is effective and feasible in both Shafer model and DSm model.

**Category:** General Mathematics

[1853] **viXra:1701.0031 [pdf]**
*submitted on 2017-01-03 06:46:34*

**Authors:** Zhang-peng Tian, Jing Wang, Jian-qiang Wang, Hong-yu Zhang

**Comments:** 13 Pages.

Multi-objective optimization by ratio analysis plus the full multiplicative form (MULTIMOORA) is a useful method to apply in multi-criteria decision-making due to the ﬂexibility and robustness it introduces into the decision process.

**Category:** General Mathematics

[1852] **viXra:1701.0030 [pdf]**
*submitted on 2017-01-03 06:50:50*

**Authors:** P. Kechichian, B. Champagne

**Comments:** 14 Pages.

Recently, a coupled echo canceller was proposed that uses two short adaptive filters for sparse echo cancellation.

**Category:** General Mathematics

[1851] **viXra:1701.0029 [pdf]**
*submitted on 2017-01-03 06:52:16*

**Authors:** Hong-yu Zhang, Pu Ji, Jian-qiang Wang, Xiao-hong Chen

**Comments:** 18 Pages.

This paper presents a new correlation coefficient measure, which satisfies the requirement of this measure equaling one if and only if two interval neutrosophic sets (INSs) are the same. And an objective weight of INSs is presented to unearth and utilize deeper information that is uncertain.

**Category:** General Mathematics

[1850] **viXra:1701.0028 [pdf]**
*submitted on 2017-01-03 06:53:41*

**Authors:** P. Rajeswara Reddy, I. Naga Raju, V. Diwakar Reddy, G. Krishnaiah

**Comments:** 7 Pages.

In today’s practical work environment group decision making is essential to choose best alternative from set of alternatives which are characterized by multiple criteria. In manufacturing environment frequent group decision making is common practice which involves conflicting and multiple criteria problems.

**Category:** General Mathematics

[1849] **viXra:1701.0027 [pdf]**
*submitted on 2017-01-03 06:54:53*

**Authors:** Yin-xiang Ma, Jian-qiang Wang, Jing Wang, Xiao-hui Wu

**Comments:** 21 Pages.

Selecting medical treatments is a critical activity in medical decision-making. Usually, medical treatments are selected by doctors, patients, and their families based on various criteria.

**Category:** General Mathematics

[1848] **viXra:1701.0026 [pdf]**
*submitted on 2017-01-03 06:59:41*

**Authors:** K.M. Amin, A.I.Shahin, Yanhui Guo

**Comments:** 11 Pages.

A lot of studies confurmed the seriousness of brest cancer as the most tumors lethal to women worldwide.

**Category:** General Mathematics

[1847] **viXra:1701.0025 [pdf]**
*submitted on 2017-01-03 07:04:28*

**Authors:** Hong-yu Zhang, Pu Ji, Jian-qiang Wang, Xiao-hong Chen

**Comments:** 17 Pages.

Decision support model for satisfactory restaurants have attracted numerous researcher's attention.

**Category:** General Mathematics

[1846] **viXra:1701.0024 [pdf]**
*submitted on 2017-01-03 07:06:00*

**Authors:** Keli Hu, Jun Ye, En Fan, Shigen Shen, Longjun Huang, Jiatian Pi

**Comments:** 13 Pages.

Although appearance based trackers have been greatly improved in the last decade, they are still struggling with some challenges like occlusion, blur, fast motion, deformation, etc. As known, occlusion is still one of the soundness challenges for visual tracking.

**Category:** General Mathematics

[1845] **viXra:1701.0023 [pdf]**
*submitted on 2017-01-03 07:07:13*

**Authors:** Jenice Aroma R., Kumudha Raimond

**Comments:** 5 Pages.

The satellite image based applications are highly utilized nowadays from simple purposes like vehicle navigation to complex surveillance and virtual environment modeling projects. On increased population rate, the depletion of natural resources is highly unavoidable and it leads to increased threats on natural hazards. In order to protect and overcome the physical losses on devastation of properties, the risk mapping models such as weather forecasts, drought modeling and other hazard assessment models are in need.

**Category:** General Mathematics

[1844] **viXra:1701.0021 [pdf]**
*submitted on 2017-01-03 07:13:01*

**Authors:** A. Elhassouny, S. Idbraim, A. Bekkari, D. Mammass, D. Ducrot

**Comments:** 11 Pages.

In this paper, we introduce a new procedure called DSmT-ICM with adaptive decision rule, which is an alternative and extension of Multisource Classiﬁcation Using ICM (Iterated conditional mode) and DempsterShafer theory (DST).

**Category:** General Mathematics

[1843] **viXra:1701.0019 [pdf]**
*submitted on 2017-01-03 07:16:19*

**Authors:** .J. Martina Jency, I. Arockiarani

**Comments:** 4 Pages.

In this paper a new approach is proposed to meet the challenges in medical diagnosis using fuzzy neutrosophic c ompositionrelation.

**Category:** General Mathematics

[1842] **viXra:1701.0018 [pdf]**
*submitted on 2017-01-03 07:19:33*

**Authors:** Romualdas Bausys, Edmundas Kazimieras Zavadskas, Artūras Kaklauskas

**Comments:** 15 Pages.

The paper presents multicriteria decision making method with single value neutrosophic sets (SVNS), namely COPRAS-SVNS. The complex proportional assessment method (COPRAS) has shown accurate results for the solution of various multicriteria decision making problems in the engineering field.

**Category:** General Mathematics

[1841] **viXra:1701.0017 [pdf]**
*submitted on 2017-01-03 07:22:23*

**Authors:** Simon Carladous, Jean-Marc Tacnet, Jean Dezert

**Comments:** 10 Pages.

Experts take into account several criteria to assess the eﬀectiveness of torrential ﬂood protection systems. In practice, scoring each criterion is imperfect.

**Category:** General Mathematics

[1840] **viXra:1612.0412 [pdf]**
*submitted on 2016-12-31 00:28:51*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 7 Pages.

In this research investigation, the author has detailed about 'Universal Recursive Sub-Sets And Super-Sets Of A Set In Completion'.

**Category:** General Mathematics

[1839] **viXra:1612.0411 [pdf]**
*submitted on 2016-12-31 00:39:34*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'Recursive Slating Of A Function (Set) In Terms Of Itself And Its Converse At The kth Universe In Parallel Given That The Given Set Has k Universes In Parallel, Found To Exhaustion'.

**Category:** General Mathematics

[1838] **viXra:1612.0410 [pdf]**
*submitted on 2016-12-31 00:48:37*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'Universal Equation Connecting True Life And True Redundancy of A Given Aspect Primality Of Concern'.

**Category:** General Mathematics

[1837] **viXra:1612.0393 [pdf]**
*submitted on 2016-12-29 16:17:18*

**Authors:** Jaime Vladimir TORRES-HEREDIA JULCA

**Comments:** 1 Page.

In this short paper I show that we can find the first digits of number Pi and Golden Ratio within the list of natural numbers.

**Category:** General Mathematics

[1836] **viXra:1612.0350 [pdf]**
*submitted on 2016-12-27 06:54:14*

**Authors:** Edgar Valdebenito

**Comments:** 10 Pages.

In this note we present some Fractals related with the polynomial equation:x^9+3*x^6+3*x^3-1=0.

**Category:** General Mathematics

[1835] **viXra:1612.0247 [pdf]**
*submitted on 2016-12-14 12:35:27*

**Authors:** Soerivhe Iriene

**Comments:** 12 Pages.

Boost Calculations on Interdimensional 4-configurataions of N-spheres

**Category:** General Mathematics

[1834] **viXra:1612.0234 [pdf]**
*submitted on 2016-12-13 05:29:08*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research manuscript, the author has detailed about 'TRL Universal Hyper Primality (Invoking Primality Metric Within Primality Metric) Analysis'.

**Category:** General Mathematics

[1833] **viXra:1612.0233 [pdf]**
*submitted on 2016-12-13 07:37:54*

**Authors:** M. J. Germuska, R. B. Germuska, M. A. Germuska

**Comments:** 19 Pages.

A recent paper by one of the authors presented a new formula found experimentally for the shape of the free surface of stable vortices. In this paper we show that the given shape is the concave spinning top with the minimum moment of inertia. A new variation method is used to find this shape, since no existing method seems to cope with the Lagrangian involving r(z)4, inequality constraints and the solution with r(0) = infinity. In the process we find spinning tops with the minimum moment of inertia under various constraints.

**Category:** General Mathematics

[1832] **viXra:1612.0217 [pdf]**
*submitted on 2016-12-12 06:36:52*

**Authors:** Edgar Valdebenito

**Comments:** 12 Pages.

The quintic: p(z)=z^5+z^3+z^2-1=0 , the number pi , and fractals.

**Category:** General Mathematics

[1831] **viXra:1612.0202 [pdf]**
*submitted on 2016-12-10 22:47:05*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 7 Pages.

In this research investigation, the author has detailed about 'Positive Real Order Sequence Of Primes Finding Algorithm'.

**Category:** General Mathematics

[1830] **viXra:1612.0196 [pdf]**
*submitted on 2016-12-10 12:30:05*

**Authors:** Bertrand Wong

**Comments:** 1 Page.

This paper aims to inspire thinking on the capabilities and potential of the human brain.

**Category:** General Mathematics

[1829] **viXra:1612.0156 [pdf]**
*submitted on 2016-12-09 05:19:49*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 6 Pages.

In this research investigation, the author has detailed about 'Positive Real Order Sequence Of Primes Finding Algorithm'.

**Category:** General Mathematics

[1828] **viXra:1612.0131 [pdf]**
*submitted on 2016-12-08 05:02:58*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 5 Pages.

In this research investigation, the author has detailed about 'Prime Metric Basis Change Theorem'.

**Category:** General Mathematics

[1827] **viXra:1612.0123 [pdf]**
*submitted on 2016-12-07 17:18:40*

**Authors:** Soerivhe Iriene

**Comments:** 1 Page.

"Number" of 7 is unnatural and should be removed. Series numbers is 1,2,3,4,5,6,8,9,10…

**Category:** General Mathematics

[1826] **viXra:1612.0077 [pdf]**
*submitted on 2016-12-07 04:34:53*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'Universes In Parallel Of A Given Aspect Primality Of Concern'.

**Category:** General Mathematics

[1825] **viXra:1612.0076 [pdf]**
*submitted on 2016-12-07 04:39:17*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'Definitions Of True Life And True Redundancy Values Of A Given Aspect Primality Of Concern'.

**Category:** General Mathematics

[1824] **viXra:1612.0065 [pdf]**
*submitted on 2016-12-06 05:11:35*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'Universal Field Theory'.

**Category:** General Mathematics

[1823] **viXra:1612.0064 [pdf]**
*submitted on 2016-12-06 06:38:50*

**Authors:** Edgar Valdebenito

**Comments:** 12 Pages.

The quintic : p(z)=z^5+z^4+z-1=0,the number pi, and fractals.

**Category:** General Mathematics

[1822] **viXra:1612.0059 [pdf]**
*submitted on 2016-12-05 07:58:35*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'The Universal Field Theory'.

**Category:** General Mathematics

[1821] **viXra:1612.0051 [pdf]**
*submitted on 2016-12-05 07:24:45*

**Authors:** Thomas Pierre Nicolas Jean Brouard

**Comments:** 1 Page. NO COMMENT

NO ABSTRACT.

**Category:** General Mathematics

[1820] **viXra:1612.0050 [pdf]**
*submitted on 2016-12-04 23:04:13*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 3 Pages.

In this research investigation, the author has detailed about 'Universal Recursion Scheme of Perception Or Time'.

**Category:** General Mathematics

[1819] **viXra:1612.0049 [pdf]**
*submitted on 2016-12-04 23:32:12*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 5 Pages.

In this research investigation, the author has detailed about ''Universal Communication Technologies.

**Category:** General Mathematics

[1818] **viXra:1612.0045 [pdf]**
*submitted on 2016-12-04 00:33:11*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'Universal Communication Technologies'.

**Category:** General Mathematics

[1817] **viXra:1612.0032 [pdf]**
*submitted on 2016-12-02 22:08:15*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 7 Pages.

In this research investigation, the author has detailed about 'Universal Recursive Scale Shifting Based Collective Parameter Re-Assignment Scheme'.

**Category:** General Mathematics

[1816] **viXra:1612.0015 [pdf]**
*submitted on 2016-12-01 22:03:14*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 5 Pages.

In this research investigation, the author has detailed about 'Normalization Of Any Given Aspect Primality Of Concern'.

**Category:** General Mathematics

[1815] **viXra:1612.0014 [pdf]**
*submitted on 2016-12-02 00:12:06*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 8 Pages.

In this research manuscript, the author has detailed about the Scheme of Slating Any Aspect Primality of concern in Stable Spatial Configuration.

**Category:** General Mathematics

[1814] **viXra:1611.0411 [pdf]**
*submitted on 2016-11-30 07:42:40*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 5 Pages.

In this research investigation, the author has detailed about 'Universal Truth Distillation Engineering, i.e., Rig-True Engineering'.

**Category:** General Mathematics

[1813] **viXra:1611.0403 [pdf]**
*submitted on 2016-11-29 22:40:10*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about 'Universal Consciousness Intelligence'.

**Category:** General Mathematics

[1812] **viXra:1611.0394 [pdf]**
*submitted on 2016-11-29 07:00:01*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 5 Pages.

In this research investigation, the author has detailed all about 'Normalization Of Any Given Aspect Primality Of Concern'.

**Category:** General Mathematics

[1811] **viXra:1611.0381 [pdf]**
*submitted on 2016-11-28 06:43:11*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation the author has detailed about 'Calculation Of Centroid And Rate Of Change Of Centrois Of Any Primality Of Concern'. Also, the author has slated the definition of the Life Coefficient of Any Aspect Primality of concern.

**Category:** General Mathematics

[1810] **viXra:1611.0378 [pdf]**
*submitted on 2016-11-27 23:26:36*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 3 Pages.

In this research investigation, the author has detailed about 'Least Count Of Non-Measurability Potential Of Any Aspect Primality Of
Concern'.

**Category:** General Mathematics

[1809] **viXra:1611.0377 [pdf]**
*submitted on 2016-11-27 23:28:59*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 3 Pages.

In this research investigation, the author has detailed an important Notion about 'Truth'.

**Category:** General Mathematics

[1808] **viXra:1611.0370 [pdf]**
*submitted on 2016-11-27 06:35:11*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 7 Pages.

In this research investigation, the author has detailed all about 'Universal Con-Volution Intelligence'.

**Category:** General Mathematics

[1807] **viXra:1611.0356 [pdf]**
*submitted on 2016-11-26 02:40:38*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 9 Pages.

In this research investigation, the author has detailed all about 'Natural Converses Of Any Order Of Any Given Aspect Primality Of Concern'.

**Category:** General Mathematics

[1806] **viXra:1611.0354 [pdf]**
*submitted on 2016-11-26 03:10:04*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed all about 'Universal Con-Volution Intelligence'.

**Category:** General Mathematics

[1805] **viXra:1611.0346 [pdf]**
*submitted on 2016-11-25 04:40:31*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 9 Pages.

In this research investigation, the author has detailed about 'Natural Converses Of Any Order Of Any Given Aspect Primality Of Concern'.

**Category:** General Mathematics

[78] **viXra:1701.0597 [pdf]**
*replaced on 2017-02-15 12:59:03*

**Authors:** Muhammad Akram, Saba Siddique

**Comments:** 16 Pages.

Neutrosophic sets are the generalization of the concept of fuzzy sets and intuitionistic fuzzy sets. Neutrosophic
models give more flexibility, precisions and compatibility to the system as compared to the classical, fuzzy and intuitionistic fuzzy models. In this research paper, we present certain types of single-valued neutrosophic graphs, including regular single-valued neutrosophic graphs, totally regular single-valued neutrosophic graphs, edge regular single-valued neutrosophic graphs and totally edge regular single-valued neutrosophic graphs. We also investigate some of their related properties

**Category:** General Mathematics