**Previous months:**

2010 - 1003(1) - 1005(2) - 1008(2) - 1009(1) - 1010(2) - 1011(2) - 1012(1)

2011 - 1101(2) - 1103(3) - 1105(1) - 1108(1) - 1109(1) - 1111(2)

2012 - 1202(2) - 1203(3) - 1204(2) - 1205(2) - 1206(2) - 1207(1) - 1208(3) - 1211(1) - 1212(1)

2013 - 1301(1) - 1302(2) - 1303(4) - 1304(3) - 1305(2) - 1306(4) - 1309(3) - 1310(2) - 1311(2) - 1312(2)

2014 - 1401(2) - 1402(3) - 1403(639) - 1404(85) - 1405(59) - 1406(1) - 1407(4) - 1408(1) - 1409(2) - 1411(54) - 1412(19)

2015 - 1501(7) - 1502(18) - 1503(6) - 1504(7) - 1505(1) - 1506(6) - 1507(1) - 1508(111) - 1509(18) - 1510(143) - 1511(16) - 1512(176)

2016 - 1601(65) - 1602(28) - 1603(33) - 1604(38) - 1605(17) - 1606(24) - 1607(45) - 1608(36) - 1609(39) - 1610(9) - 1611(21) - 1612(25)

2017 - 1701(235) - 1702(9) - 1703(11) - 1704(20) - 1705(53) - 1706(79) - 1707(1) - 1708(9) - 1709(23) - 1710(17) - 1711(132) - 1712(7)

2018 - 1801(31) - 1802(31) - 1803(129) - 1804(37) - 1805(37) - 1806(8) - 1807(8) - 1808(166) - 1809(77) - 1810(22) - 1811(5)

Any replacements are listed farther down

[2955] **viXra:1811.0295 [pdf]**
*submitted on 2018-11-19 23:56:19*

**Authors:** Toshiro Takami

**Comments:** 4 Pages.

Since ζ(3) could be represented by sin, cos and π, we report here. I spelled
sum_(n=1)^infty { |(sin((6n-4)/3*pi))| + |(sin((6n-2)/3*pi)| } / {sqrt(3)*n^3} (n is integer)
= sum_(n=1)^infty [(sin(2/3*pi))-(sin(4/3*pi))]/[sqrt(3)*n^3]
= 1.2020569031595942853997381615114…....
or
sum_(n=1)^infty [ |2*(sin((6n-4)*pi/3)| ] / [sqrt(3)*n^3] (n is integer)
= sum_(n=1)^infty [2*(sin(2/3*pi))]/[sqrt(3)*n^3]
=1.2020569031595942853997381615114…...
or
sum_(n=1)^infty [ |cos((6n-4)/3*pi)| + |(cos((6n-2)/3*pi)| / [n^3] (n is integer)
or
sum_(n=1)^infty [ |2*(cos((6n-4)/3*pi)| ] / [n^3]
= sum_(n=1)^infty [ -2*(cos(2/3*pi) ] / [n^3]
= 1.2020569031595942853997381615114……
For example,
{|sin((2π/3)| + |sin(4π/3)| + |sin(6π/3)|} / {sqrt(3)*1^3} +
{|sin(8π/3)| + |sin(10π/3)| + |sin(12π/3|} / {sqrt(3)*2^3} +
{|sin((14π/3)| + |sin(16π/3)| + |sin(18π/3)|} / {sqrt(3)*3^3} +
{|sin(20π/3)| + |sin(22π/3)| + |sin(24π/3|} / {sqrt(3)*4^3} +
………
………＝ζ(3)
and,
{|cos((2π/3)| + |cos(4π/3)| + |cos(6π/3)|} / (2*1^3) +
{|cos(8π/3)| + |cos(10π/3)| + |cos(12π/3|} / (2*2^3) +
{|cos(14π/3)| + |cos(16π/3)| + |cos(18π/3)|} / (2*3^3) +
{|cos(20π/3)| + |cos(22π/3)| + |cos(24π/3|} / (2*4^3) +
………
………＝ζ(3)
While turning circles, factorial increases.

**Category:** General Mathematics

[2954] **viXra:1811.0293 [pdf]**
*submitted on 2018-11-20 03:15:30*

**Authors:** Toshiro Takami

**Comments:** 17 Pages.

Tried to simulate the nontribial point of the Riemann zeta function.
At the beginning, we tried to be exactly the same value as the nontribial point of the Riemann Zeta function only with the degree of increase of the circle going up like wrapping x = 0.5, but the degree of increase varies from moment to moment extremely difficult It was judged impossible.
Then I created an expression that can take approximate values, but always take lower values than the nontribial zeros of the Riemann zeta function except for the initial values. However, by increasing the degree of increase of the circle going up like winding x = 0.5, it became possible to take a value which can be said to be an approximate value.
The degree of increase in circle was based on the formula of the nuclear energy value of uranium.
Since the degree of increase of the zero point changes from moment to moment, satisfactory approximate values can not be obtained yet.

**Category:** General Mathematics

[2953] **viXra:1811.0215 [pdf]**
*submitted on 2018-11-13 06:36:17*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

In this note we give some integrals.

**Category:** General Mathematics

[2952] **viXra:1811.0174 [pdf]**
*submitted on 2018-11-12 05:03:56*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 6 Pages.

This paper deals only with the Mellin transforms of some functions and their relationship with the gamma functions.

**Category:** General Mathematics

[2951] **viXra:1811.0044 [pdf]**
*submitted on 2018-11-03 23:46:55*

**Authors:** Felix M Lev

**Comments:** 5 Pages.

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 give a simple proof that the situation is the opposite: classical mathematics is only a degenerate special case of finite one. Motivation and implications are discussed.

**Category:** General Mathematics

[2950] **viXra:1810.0465 [pdf]**
*submitted on 2018-10-29 03:25:43*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 8 Pages.

Riemann and others have used the Poisson summation formula to prove Riemann’s functional equation. The opposite is actually true, the Poisson summation formula provides a refutation of Riemann’s functional equation. It is the purpose of this paper to disprove Riemann’s functional equation using the Poisson summation formula.

**Category:** General Mathematics

[2949] **viXra:1810.0434 [pdf]**
*submitted on 2018-10-25 06:29:22*

**Authors:** Agbo Felix Isaac

**Comments:** 17 Pages.

In this article, I propose a generalized method for obtaining a substitution for reducing a reducible linear ordinary differential equation with function coefficients (RLDEF) to a linear ordinary differential equation with constant coefficient (LDE). This proposed method was also used to obtain the already known substitutions for the Euler’s and Legendre’s homogeneous second order linear differential equation. The derived method is able to reduce quite a large number of RLDEF to LDE including the Euler’s and Legendre’s homogeneous second order linear differential equation. However, these RLDEF (homogeneous and inhomogeneous) must satisfy the condition for reducibility, which is also proposed before the substitution is derived. the condition for reducibility is based on the order of the differential equation. In this article, the condition for reducibility is presented for a second and third order LDEF. Keywords: reducibility, generalized, differential equations.

**Category:** General Mathematics

[2948] **viXra:1810.0423 [pdf]**
*submitted on 2018-10-25 23:24:10*

**Authors:** Toshiro Takami

**Comments:** 14 Pages.

Since ζ (3) etc. ζ (odd-number) could be represented by cos and sin and π, we report here.
There is an argument as to what dimension the world is made of, but ζ indicates that the answer will come out.

**Category:** General Mathematics

[2947] **viXra:1810.0408 [pdf]**
*submitted on 2018-10-24 14:59:24*

**Authors:** Zaid Laadjal

**Comments:** 9 Pages.

In this paper, we describe the solution approaches based on Homotopy Analysis Method for the follwing Nonlinear Mixed Volterra-Fredholm integro-differential equation of fractional order $$\begin{array}{l} ^{C}D^{\alpha }u(t)=\varphi (t)+\lambda \int_{0}^{t}\int_{0}^{T}k(x,s)F\left( u(s\right) )dxds, \\ u(0)=c,\text{}u^{(i)}(0)=0,i=1,...,n-1, \end{array}$$ where $t\in \Omega =\left[ 0;T\right] ,\ k:\Omega \times \Omega \longrightarrow \mathbb{R},$ $\varphi :\Omega \longrightarrow \mathbb{R},$ are known functions,\ $F:C\left(\Omega, \mathbb{R}\right) \longrightarrow \mathbb{R}$ is nonlinear function, $c$ and $\lambda $ are constants, $^{C}D^{\alpha }$ is the Caputo derivative of order $\alpha $ with $n-1<\alpha \leqslant n.$ In addition some examples are used to illustrate the accuracy and validity of this approach.

**Category:** General Mathematics

[2946] **viXra:1810.0407 [pdf]**
*submitted on 2018-10-24 15:31:00*

**Authors:** Colin James III

**Comments:** 2 Pages. © Copyright 2018 by Colin James III All rights reserved. Respond to the author by email at: info@ersatz-systems dot com.

Definitions of neutrosophy as further embellished with probability and (in)dependency share the same result as denied of tautology. This means neutrosophic logic as a general framework for unification of many existing logics, such as intuitionistic fuzzy logic) and paraconsistent logic, is refuted.

**Category:** General Mathematics

[2945] **viXra:1810.0398 [pdf]**
*submitted on 2018-10-23 06:05:17*

**Authors:** Rebeca Escobar Jara, Maikel Leyva Vázquez, Cesar Ernesto Roldan Martínez

**Comments:** 13 Pages.

Objective. Social learning analytics is a subset of learning analysis as it attempts to demonstrate how new skills and ideas are not just individual achievements, but are developed, carried forward and transmitted through interaction and collaboration.

**Category:** General Mathematics

[2944] **viXra:1810.0397 [pdf]**
*submitted on 2018-10-23 06:06:49*

**Authors:** Neilys González Benítez

**Comments:** 9 Pages.

The mental upsets are affections or psychic syndromes and conduct ales, opposed to the town of the individuals that enjoy good mental health. They are varied the causes of the mental illnesses. The biological factors are one of the more common causes. Of similar form a traumatic injury of the brain can conduct to a mental upset. The exposition of the mother during the embarrassments to virus or chemical toxics constitutes other causes, of similar form exist other factors capable of increase the risk of suffering of mental upsets, just as the use of illegal drugs or suffer a medical serious condition.

**Category:** General Mathematics

[2943] **viXra:1810.0395 [pdf]**
*submitted on 2018-10-23 06:09:58*

**Authors:** Rodolfo González Ortega, Maikel Leyva Vázquez, João Alcione Sganderla Figueiredo

**Comments:** 14 Pages.

The Sinos River Basin is one of the most contaminated water basin in Bra-zil which leads to tremendous efforts for its recovery through adequate integral management. The management of water quality through the analysis of the interrelations between the different factors could be difficult. In this paper, the authors
present Fuzzy Cognitive Maps and Neutrosophic Cogntive Maps for a better choice of environmental management i by the Basin Management Committee of the Sino River. With this method it’s possible to use FCM/NCM to model the complex system of variables involved into the determination of water quality,
according to the water quality index (WQI).

**Category:** General Mathematics

[2942] **viXra:1810.0394 [pdf]**
*submitted on 2018-10-23 06:11:20*

**Authors:** Maikel Leyva Vázquez, Florentin Smarandache

**Comments:** 7 Pages.

Recommendation models are useful in the decision-making process that allow the user a set of options that are expected to meet their expectations. Recommendation models are useful in the decision-making process that offer the user a set of options that are expected to meet their SVN expectations to express linguistic terms.

**Category:** General Mathematics

[2941] **viXra:1810.0393 [pdf]**
*submitted on 2018-10-23 06:12:22*

**Authors:** Artemio Leyva-Aguilera, Adalys Ray Hayne

**Comments:** 7 Pages.

In the present work it is demonstrated that the construction of the media agenda is a process whose structure does not behave in a rigid manner, whose application foundations have a dialectical character, since it assumes the eventualities of coverage which demands a content management that corresponds.
Additionally, the possibilities of using neutrosophical cognitive maps in the construction of the media agenda are explored. It explores neutrosophical cognitive maps for the analysis of causality.

**Category:** General Mathematics

[2940] **viXra:1810.0389 [pdf]**
*submitted on 2018-10-23 07:33:43*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

This note presents some definite integrals.

**Category:** General Mathematics

[2939] **viXra:1810.0388 [pdf]**
*submitted on 2018-10-23 07:36:02*

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

This note presents some integrals for pi^3.

**Category:** General Mathematics

[2938] **viXra:1810.0363 [pdf]**
*submitted on 2018-10-22 23:44:04*

**Authors:** Boram Han

**Comments:** 7 Pages. This paper is my first paper in High School life.

In many places of life today, the use of mathematics is increasing. In particular, the use of mathematics in various fields such as science, economics, and biotechnology is becoming more and more popular as the natural science advances. This paper briefly grasps the essence of vectors and matrices that play a key role in mathematics, and explains the vector approach is effective for controlling the robot through how vector-based methods are used in recognizing and solving the problems of input and output of EV3 robots.
As a result of using vector analytical methods to overcome defects in hardware and software, many defects could be overcome in many areas. The result of using the concept of the vector which is able to conclude the recognized color of the color sensor with certainty was obtained satisfactory result, the program that controls the omni wheel can also overcome the hardware difficulties in a vector interpretive manner. Also, when attempting to use re-parameterization to create an unit speed curve to overcome the hardware defect of the motor, it was necessary to know the concept of the vector. Therefore, it can be said that the vector was used successfully to overcome the shortcomings and difficulties of EV3.
Nonetheless, the decline of the computation function could not be avoided by the vector approach, because it was a problem that was closer to engineering and physical part rather than mathematical part. Therefore, although it was able to achieve some degree of success in overcoming the disadvantages and difficulties of EV3, it came to the conclusion that it was impossible to overcome it completely. In addition, solving problems using vectors means being more dependent on mathematics, so it relies more heavily on the computation function of EV3. Thus, if the underlying computational function of the EV3, that is, the processing speed is not improved, the vector interpretation approach will show its limitations again.

**Category:** General Mathematics

[2937] **viXra:1810.0333 [pdf]**
*submitted on 2018-10-20 15:20:00*

**Authors:** Waldemar Zieliński

**Comments:** 5 Pages.

We will derive the formulas for the N-th element of the union of two arithmetic progressions with rational and real common differences.

**Category:** General Mathematics

[2936] **viXra:1810.0186 [pdf]**
*submitted on 2018-10-11 08:57:08*

**Authors:** John Smith

**Comments:** 6 Pages.

basic economics

**Category:** General Mathematics

[2935] **viXra:1810.0152 [pdf]**
*submitted on 2018-10-09 07:46:04*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

En esta nota recordamos una serie trigonométrica que involucra a la constante de Catalan.

**Category:** General Mathematics

[2934] **viXra:1810.0150 [pdf]**
*submitted on 2018-10-09 08:05:47*

**Authors:** Edgar Valdebenito

**Comments:** 15 Pages.

This note presents a collection of mathematical formulas.

**Category:** General Mathematics

[2933] **viXra:1810.0122 [pdf]**
*submitted on 2018-10-08 22:09:22*

**Authors:** Wendong Wang, Feng Zhang, Jianjun Wang

**Comments:** 10 Pages.

In this paper, we theoretically investigate the low-rank matrix recovery problem in the context of the unconstrained regularized nuclear norm minimization (RNNM) framework. Our theoretical findings show that, one can robustly recover any matrix X from its few noisy measurements b=A(X)+n with a bounded constraint ||n||_{2}<ε via the RNNM, if the linear map A satisfies restricted isometry property (RIP) with δ_{tk}<√(t-1)/t for certain fixed t>1. Recently, this condition with t≥4/3 has been proved by Cai and Zhang (2014) to be sharp for exactly recovering any rank-k matrices via the constrained nuclear norm minimization (NNM). To the best of our knowledge, our work first extends nontrivially this recovery condition for the constrained NNM to that for its unconstrained counterpart. Furthermore, it will be shown that similar recovery condition also holds for regularized l_{1}-norm minimization, which sometimes is also called Basis Pursuit DeNoising (BPDN).

**Category:** General Mathematics

[2932] **viXra:1810.0023 [pdf]**
*submitted on 2018-10-02 11:05:44*

**Authors:** Peter J. Nolan, Shane D. Ross}

**Comments:** 8 Pages. In preparation for journal submission

Lagrangian analysis using techniques such as the finite-time Lyapunov exponent (FTLE) field or Lagrangian coherent structures can be very informative as to the dynamics of a system, however these methods can be time consuming to integrate and tricky to interpret. Recent developments in dynamical systems theory have generated new Eulerian methods, such as objective Eulerian coherent structures (OECS), for the anaylsis of dynamical systems. In this paper we will build upon this previous work by connecting OECS to FTLE, and providing a new method for the visualization of OECS.

**Category:** General Mathematics

[2931] **viXra:1810.0018 [pdf]**
*submitted on 2018-10-02 16:30:39*

**Authors:** Surapati Pramanik, Rama Mallick

**Comments:** 13 Pages.

VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) is a popular strategy for multi- attribute decision making (MADM). We extend the VIKOR strategy for multi- attribute group decision making (MAGDM) problems in trapezoidal neutrosophic number environment. In decision making situation, the attribute values are expressed in terms of single-valued trapezoidal neutrosophic numbers. Then we develop an extended VIKOR strategy to deal with MAGDM with single-valued trapezoidal neutrosophic numbers. The influence of decision-making mechanism coefficient is presented. To illustrate and validate the proposed VIKOR strategy, we solve an illustrative numerical example of MAGDM problem in trapezoidal fuzzy neutrosophic number environment.

**Category:** General Mathematics

[2930] **viXra:1809.0550 [pdf]**
*submitted on 2018-09-27 11:59:53*

**Authors:** Colin James III

**Comments:** 1 Page. © Copyright 2018 by Colin James III All rights reserved. Respond to the author by email at: info@ersatz-systems dot com.

The CC conjecture as defined by Lin Fan Mao is not tautologous and hence refuted.

**Category:** General Mathematics

[2929] **viXra:1809.0513 [pdf]**
*submitted on 2018-09-24 07:56:20*

**Authors:** Edgar Valdebenito

**Comments:** 6 Pages.

In this note we give some fractals and formulas for Pi: pi=3.1415926535...

**Category:** General Mathematics

[2928] **viXra:1809.0511 [pdf]**
*submitted on 2018-09-24 07:59:39*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

Some remarks on a trigonometric integral.

**Category:** General Mathematics

[2927] **viXra:1809.0474 [pdf]**
*submitted on 2018-09-22 09:08:19*

**Authors:** Colin James III

**Comments:** Pages.

In bivalent mathematical logic, the unfalsifiable conjecture is not contradictory, and hence tautologous to be a theorem. The theorem by definition is not contradictory, tautologous, and hence unfalsifiable. There is no distinction between the states of unfalsifiable or confirmable as opposed to falsifiable or refutable.

**Category:** General Mathematics

[2926] **viXra:1809.0454 [pdf]**
*submitted on 2018-09-20 11:33:44*

**Authors:** Craig Alan Feinstein

**Comments:** Progress in Physics, 2018 (vol. 14), issue 4, pages 213-214

It is generally accepted among scientists that an unfalsifiable theory, a theory which can never conceivably be proven false, can never have any use in science. In this paper, we shall address the question, “Can an unfalsifiable conjecture ever have any use in mathematics?”

**Category:** General Mathematics

[2925] **viXra:1809.0452 [pdf]**
*submitted on 2018-09-20 11:57:41*

**Authors:** Colin James III

**Comments:** 2 Pages. © Copyright 2018 by Colin James III All rights reserved. Respond to the author by email at: info@ersatz-systems dot com.

The Smarandache multi-space theory (SMT) as based on a Latin square is a vector space (probabilistic) and not bivalent (exact). Therefore SMT is refuted in classical logic.

**Category:** General Mathematics

[2924] **viXra:1809.0429 [pdf]**
*submitted on 2018-09-20 00:14:36*

**Authors:** V. Ramachandran

**Comments:** 8 Pages.

V.Ramachandran and C. Sekar introduced one modulo N graceful where N is any positive integer. In the case N = 2, the labelling is odd graceful and in the case N = 1 the labelling is graceful.

**Category:** General Mathematics

[2923] **viXra:1809.0428 [pdf]**
*submitted on 2018-09-20 00:16:30*

**Authors:** R.Ponraj, M.Maria Adaickalam

**Comments:** 7 Pages.

A graph with a k-difference cordial labeling is
called a k-difference cordial graph.

**Category:** General Mathematics

[2922] **viXra:1809.0427 [pdf]**
*submitted on 2018-09-20 00:17:43*

**Authors:** R.Ponraj, K.Annathurai, R.Kala

**Comments:** 8 Pages.

A graph with admits a k-remainder cordial labeling is called a k-remainder cordial graph. In this paper we investigate the 4- remainder cordial behavior of grid, subdivision of crown, Subdivision of bistar, book, Jelly fish, subdivision of Jelly fish, Mongolian tent graphs.

**Category:** General Mathematics

[2921] **viXra:1809.0426 [pdf]**
*submitted on 2018-09-20 00:19:51*

**Authors:** B.Basavanagoud, Sujata Timmanaikar

**Comments:** 10 Pages.

All graphs considered here are finite, nontrivial, undirected with no loops and multiple edges. For graph theoretic terminology we refer to Harary.

**Category:** General Mathematics

[2920] **viXra:1809.0425 [pdf]**
*submitted on 2018-09-20 00:20:53*

**Authors:** Qiuhui Mo, Xiangui Zhao, Qingnian Pan

**Comments:** 7 Pages.

In this paper, we study nonassociative algebras which satisfy the following identities:
(xy)z = (yx)z,x(yz) = x(zy).

**Category:** General Mathematics

[2919] **viXra:1809.0424 [pdf]**
*submitted on 2018-09-20 00:22:12*

**Authors:** Rajesh Kumar T.J, Mathew Varkey T.K

**Comments:** 7 Pages.

Graph labeling where vertices and edges are assigned values subject to certain conditions have been motivated by various applied mathematical fields. Most of the problems
in graph labeling are discussed on undirected graphs. Bloom G.S. and Hsu D.F. defined the
labeling on directed graphs. In this paper, we discuss the adjacency matrices of graceful
digraphs such as unidirectional paths,alternating paths,many orientations of directed star and a class of directed bistar. We also discuss the adjacency matrices of unidirectional paths and alternating paths if they are odd digraceful.

**Category:** General Mathematics

[2918] **viXra:1809.0423 [pdf]**
*submitted on 2018-09-20 00:23:18*

**Authors:** K.Pattabiraman

**Comments:** 13 Pages.

In this paper, the exact formulae for the generalized product degree distance, reciprocal product degree distance and product degree distance of strong product of a connected graph.

**Category:** General Mathematics

[2917] **viXra:1809.0422 [pdf]**
*submitted on 2018-09-20 00:24:23*

**Authors:** B.O.Onasanya

**Comments:** 8 Pages.

In classical group theory, two elements composed yield another element. This theory, definitely, has limitations in its use in the study of atomic reactions and reproduction in organisms where two elements composed can yield more than one. In this paper, we partly give a review of some properties of hyperstructures with some examples in chemical
sciences.

**Category:** General Mathematics

[2916] **viXra:1809.0421 [pdf]**
*submitted on 2018-09-20 00:25:31*

**Authors:** Barnali Laha, Arindam Bhattacharyya

**Comments:** 13 Pages.

Connected almost contact metric manifold was classified by S.Tanno, as those automorphism
group has maximum dimension.

**Category:** General Mathematics

[2915] **viXra:1809.0420 [pdf]**
*submitted on 2018-09-20 00:26:30*

**Authors:** M. Subramanian, T. Subramanian

**Comments:** 13 Pages.

A graph G is said to be triple connected if any three vertices lie on a path in G. A dominating set S of a connected graph G is said to be a triple connected dominating set of G if the induced subgraph hSi is triple connected.

**Category:** General Mathematics

[2914] **viXra:1809.0419 [pdf]**
*submitted on 2018-09-20 00:44:12*

**Authors:** P.K.Ashraf, K.A.Germina, N.K.Sudev

**Comments:** 7 Pages.

FIn this paper, we define the notion of set-valuations of signed graphs and discuss certain properties of signed graphs which admits certain types of set-valuations.

**Category:** General Mathematics

[2913] **viXra:1809.0418 [pdf]**
*submitted on 2018-09-20 00:45:18*

**Authors:** O.P.Pandey, H.S.Shukla

**Comments:** 14 Pages.

We have obtained that due to this change of Finsler metric, the imbedding class of their tangent Riemannian space is increased at the most by two.

**Category:** General Mathematics

[2912] **viXra:1809.0417 [pdf]**
*submitted on 2018-09-20 00:47:06*

**Authors:** I. Keerthi Asir, S. Athisayanathan

**Comments:** 17 Pages.

In 2011, Santhakumaran and Titus introduced and studied the concepts of monophonic distance in graphs.

**Category:** General Mathematics

[2911] **viXra:1809.0416 [pdf]**
*submitted on 2018-09-20 00:48:09*

**Authors:** Abbas Alilou

**Comments:** 7 Pages.

A simple graph is a pair G = (V,E), where V = V (G) and E = E(G) are the sets of vertices and edges of G, respectively. A walk is an alternating sequence of vertices and connecting edges. A path is a walk that does not include any vertex twice, except that its first vertex might be the same as its last.

**Category:** General Mathematics

[2910] **viXra:1809.0415 [pdf]**
*submitted on 2018-09-20 00:49:00*

**Authors:** E. M. Badr, B. Mohamed

**Comments:** 15 Pages.

In this paper we prove that the number of spanning trees of the linear and general cyclic snake networks is the same using the combinatorial approach.

**Category:** General Mathematics

[2909] **viXra:1809.0414 [pdf]**
*submitted on 2018-09-20 00:50:00*

**Authors:** U M Prajapati, R M Gajjar

**Comments:** 16 Pages.

We begin with simple, finite, undirected graph G = (V (G),E(G)) where V (G) and E(G) denotes the vertex set and the edge set respectively.

**Category:** General Mathematics

[2908] **viXra:1809.0413 [pdf]**
*submitted on 2018-09-20 00:51:06*

**Authors:** P.A. Ejegwa, A. M. Ibrahim

**Comments:** 18 Pages.

This paper proposes the concept of direct product of multigroups and its generalization.Some results are obtained with reference to root sets and cuts of multigroups.We prove that the direct product of multigroups is a multigroup. Finally, we introduce the notion of homomorphism and explore some of its properties in the context of direct product of multigroups and its generalization.

**Category:** General Mathematics

[2907] **viXra:1809.0412 [pdf]**
*submitted on 2018-09-20 00:53:25*

**Authors:** T.Chalapathi, R.V M S S Kiran Kumar

**Comments:** 11 Pages.

This paper introduces equal degree graphs of simple existed graphs. These graphs exhibited some properties which are co-related with the older one. We characterize graphs for which their equal degree graphs are connected, completed, disconnected but not totally disconnected. We also obtain several properties of equal degree graphs and specify which graphs are isomorphic to equal degree graphs and complement of equal degree graphs. Furthermore, the relation between equal degree graphs and degree Prime graphs is determined.

**Category:** General Mathematics

[2906] **viXra:1809.0411 [pdf]**
*submitted on 2018-09-20 00:54:24*

**Authors:** K.Praveena, M.Venkatachalam

**Comments:** 9 Pages.

An equitable k-coloring of a graph G is a proper k-coloring of G such that the sizes of any two color class differ by at most one.

**Category:** General Mathematics

[2905] **viXra:1809.0410 [pdf]**
*submitted on 2018-09-20 00:55:12*

**Authors:** K. Muthugurupackiam, S.Ramya

**Comments:** 8 Pages.

A new graph characteristic, even modular edge irregularity strength of graphs is introduced. Estimation on this parameter is obtained and the precise values of this parameter are obtained for some families of graphs.

**Category:** General Mathematics

[2904] **viXra:1809.0409 [pdf]**
*submitted on 2018-09-20 00:56:02*

**Authors:** Venkatesha, H.Aruna Kumara, R.T.Naveen Kumar

**Comments:** 10 Pages.

In this paper certain results on N(k)-contact metric manifold endowed with a extended quasi conformal curvature tensor are formulated.

**Category:** General Mathematics

[2903] **viXra:1809.0408 [pdf]**
*submitted on 2018-09-20 00:56:57*

**Authors:** Gauree Shanker, Ramdayal Singh Kushwaha

**Comments:** 7 Pages.

In the present paper we have studied the Finslerian hypersurfaces and quartic change of a Finsler metric. The relationship with Finslerian hypersurface and the other which is finslerian hypersurface given by quartic change have been obtained. We have also proved that quartic change makes three type of hyper surfaces invarient under certain condition. These three type of hyper surfaces are hyperplanes of first, second, and third kind.

**Category:** General Mathematics

[2902] **viXra:1809.0407 [pdf]**
*submitted on 2018-09-20 00:57:40*

**Authors:** N.Hosseinzadeh

**Comments:** 5 Pages.

We know that some large graphs can be constructed from some smaller graphs by using graphs operations. Many properties of such large graphs are closely related to those of the corresponding smaller ones. In this paper we investigate some operations of zero-divisor graph of posets.

**Category:** General Mathematics

[2901] **viXra:1809.0406 [pdf]**
*submitted on 2018-09-20 00:58:42*

**Authors:** Linfan MAO

**Comments:** 27 Pages.

The main purpose of this paper is to extend Banach or Hilbert spaces to Banach or Hilbert continuity flow spaces over topological graphs and establish differentials on continuity flows for characterizing their globally change rate.

**Category:** General Mathematics

[2900] **viXra:1809.0405 [pdf]**
*submitted on 2018-09-20 00:59:46*

**Authors:** Shouvik Datta Choudhury, Santu Dey, Arindam Bhattacharyya

**Comments:** 7 Pages.

Homology classes were first defined rigorously by Henri Poincar´e in his seminal paper “Analysis
situs” in 1895 referring to the work of Riemann,Betti and von Dyck. The homology group was
further developed by Emmy Noether and, independently, by Leopold Vietoris and Walther
Mayer in the period 1925-28.

**Category:** General Mathematics

[2899] **viXra:1809.0404 [pdf]**
*submitted on 2018-09-20 01:13:42*

**Authors:** Handan Oztekin, Sezin Aykurt Sepet

**Comments:** 9 Pages.

In this study, we investigate a general intrinsic geometry in 3-dimensional Galilean space G3. Then, we obtain some special equations by using intrinsic derivatives of orthonormal triad in G3.

**Category:** General Mathematics

[2898] **viXra:1809.0403 [pdf]**
*submitted on 2018-09-20 01:14:34*

**Authors:** A. Lourdusamy, Sherry George

**Comments:** 18 Pages.

The graphs considered here will be finite, undirected and simple. The symbols V(G) and E(G)
will denote the vertex set and edge set of a graph G respectively. p and q denote the number
of vertices and edges of G respectively.

**Category:** General Mathematics

[2897] **viXra:1809.0402 [pdf]**
*submitted on 2018-09-20 01:15:42*

**Authors:** W.Barbara

**Comments:** 3 Pages.

The president of Academy of Mathematical Combinatorics with Applications (AMCA), Linfan Mao PhD won the Albert Nelson Marquis
Lifetime Achievement Award and has been endorsed by Marquis Who’s Who as a leader in the fields of mathematics and engineering, which was acknowledged by the notification of Marquis Who’s Who to Dr.Mao in June 26, 2017 and then the released in September 30, 2017.

**Category:** General Mathematics

[2896] **viXra:1809.0401 [pdf]**
*submitted on 2018-09-20 01:16:53*

**Authors:** P.Siva Kota Reddy, K.N.Prakasha, Gavirangaiah K.

**Comments:** 10 Pages.

The concept of graph energy originates from chemistry to estimate the total π-electron
energy of a molecule. In chemistry the conjugated hydrocarbons can be represented by a graph
called molecular graph.

**Category:** General Mathematics

[2895] **viXra:1809.0400 [pdf]**
*submitted on 2018-09-20 01:18:58*

**Authors:** Rajendra P., R.Rangarajan

**Comments:** 10 Pages.

Let G be a graph with vertex set V (G).

**Category:** General Mathematics

[2894] **viXra:1809.0399 [pdf]**
*submitted on 2018-09-20 01:19:51*

**Authors:** P.Siva Kota Reddy, K.N.Prakasha, Gavirangaiah K.

**Comments:** 9 Pages.

In this paper, we introduce the minimum equitable dominating Randic energy of a graph and computed the minimum dominating Randic energy of graph. Also, established the upper and lower bounds for the minimum equitable dominating Randic energy of a graph.

**Category:** General Mathematics

[2893] **viXra:1809.0398 [pdf]**
*submitted on 2018-09-20 01:20:56*

**Authors:** A. D Akwu, O. Oyewumi

**Comments:** 8 Pages.

In this article, we give the minimum number of moves required for the motion planning problem in Lexicographic products of some graphs. In addition,we proved the necessary and sufficient condition for the connectivity of the lexicographic product of two graphs.

**Category:** General Mathematics

[2892] **viXra:1809.0397 [pdf]**
*submitted on 2018-09-20 01:30:34*

**Authors:** Brijesh Kumar Tripathi

**Comments:** 7 Pages.

The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler (α, β) metrics.

**Category:** General Mathematics

[2891] **viXra:1809.0396 [pdf]**
*submitted on 2018-09-20 01:31:42*

**Authors:** T.Deepa, M. Venkatachalam

**Comments:** 17 Pages.

In this paper we investigate the r-dynamic chromatic number of the central graph, middle graph, total graph and line graph of the triple star graph.

**Category:** General Mathematics

[2890] **viXra:1809.0395 [pdf]**
*submitted on 2018-09-20 01:33:23*

**Authors:** N.R.Santhi Maheswari, C. Sekar

**Comments:** 12 Pages.

In 1965, Lofti A. Zadeh introduced the concept of fuzzy subset of a set as method of representing the phenomena of uncertainty in real life situation. K.T.Attanassov introduced
the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. K.T.Atanassov added
a new component( which determines the degree of non-membership) in the definition of fuzzy
set.

**Category:** General Mathematics

[2889] **viXra:1809.0394 [pdf]**
*submitted on 2018-09-20 01:34:18*

**Authors:** Harishchandra S.Ramane, Gouramma A.Gudodagi, Raju B.Jummannaver

**Comments:** 24 Pages.

In this paper we obtain the terminal Hosoya polynomial for caterpillers, thorn stars and thorn
rings. These results generalizes the existing results.

**Category:** General Mathematics

[2888] **viXra:1809.0393 [pdf]**
*submitted on 2018-09-20 01:35:35*

**Authors:** Akram Alqesmah, Anwar Alwardi, R. Rangarajan

**Comments:** 11 Pages.

In this paper, we introduce the first and second distance eccentricity Zagreb indices of a connected graph G as the sum of the squares of the distance eccentricity degrees of the vertices, and the sum of the products of the distance eccentricity degrees of pairs of adjacent vertices, respectively. Exact values for
some families of graphs and graph operations are obtained.

**Category:** General Mathematics

[2887] **viXra:1809.0392 [pdf]**
*submitted on 2018-09-20 01:37:13*

**Authors:** B. Basavanagoud, Chitra E.

**Comments:** 23 Pages.

For a graph G, the first, second and third leap Zagreb indices are the sum of squares of 2-distance degree of vertices of G; the sum of product of 2-distance degree of end vertices of edges in G and the sum of product of 1-distance degree and 2-distance degrees of vertices of G, respectively.

**Category:** General Mathematics

[2886] **viXra:1809.0391 [pdf]**
*submitted on 2018-09-20 01:39:05*

**Authors:** Seyda Kılıcoglu, Suleyman Senyurt, Abdussamet Calıskan

**Comments:** 11 Pages.

We give the striction curves of all Frenet ruled surfaces. Then the striction curves of involute and Bertrandian Frenet ruled surfaces are given in terms of the Frenet apparatus of the curve alpha.

**Category:** General Mathematics

[2885] **viXra:1809.0390 [pdf]**
*submitted on 2018-09-20 01:40:08*

**Authors:** V. Lokesha, T. Deepika

**Comments:** 6 Pages.

In this paper, we discussed the Topological indices viz., Wiener, Harmonic, Geometric-Arithmetic(GA), first and second Zagreb indices of n-wheel graphs with bridges using operator techniques.

**Category:** General Mathematics

[2884] **viXra:1809.0389 [pdf]**
*submitted on 2018-09-20 01:40:57*

**Authors:** F. Smarandache

**Comments:** 3 Pages.

Papers Published in IJMC, 2017

**Category:** General Mathematics

[2883] **viXra:1809.0388 [pdf]**
*submitted on 2018-09-20 01:41:46*

**Authors:** A. Nellai Murugan, P. Iyadurai Selvaraj

**Comments:** 6 Pages.

A graph G is a finite non-empty set of objects called vertices together with a set of unordered
pairs of distinct vertices of G which is called edges.

**Category:** General Mathematics

[2882] **viXra:1809.0387 [pdf]**
*submitted on 2018-09-20 01:42:43*

**Authors:** Ujwala Deshmukh, Smita A. Bhatavadekar

**Comments:** 6 Pages.

The graph that admits a prime labeling is said to be prime. G. Sethuraman has introduced concept of supersubdivision of a graph. In the light of this
concept, we have proved that supersubdivision by K2,2 of star, cycle and ladder are prime.

**Category:** General Mathematics

[2881] **viXra:1809.0386 [pdf]**
*submitted on 2018-09-20 01:43:44*

**Authors:** Tamalika Dutta, Arindam Bhattacharyya

**Comments:** 12 Pages.

In this paper we have studied quasi conformal curvature tensor, Ricci tensor, projective curvature tensor, pseudo projective curvature tensor in Lorentzian Beta-Kenmotsu manifold admitting Ricci soliton and conformal Ricci soliton.

**Category:** General Mathematics

[2880] **viXra:1809.0385 [pdf]**
*submitted on 2018-09-20 01:44:39*

**Authors:** V. Lokesha, P. S. Hemavathi, S. Vijay

**Comments:** 7 Pages.

In this paper we introduced the new notions semifull signed graph and semifull line (block) signed graph of a signed graph and its properties are obtained. Also, we obtained the structural characterizations of these notions. Further, we presented some switching equivalent characterizations.

**Category:** General Mathematics

[2879] **viXra:1809.0384 [pdf]**
*submitted on 2018-09-20 01:45:32*

**Authors:** Siddesha M.S., Bagewadi C.S.

**Comments:** 12 Pages.

In this paper, we study the geometry of slant submanifolds of conformal (k, μ)-contact manifold when the tensor field Q is parallel. Further, we give a necessary and sufficient condition for a 3-dimensional slant submanifold of a 5-dimensional conformal (k, μ)-contact manifold to be a proper slant submanifold.

**Category:** General Mathematics

[2878] **viXra:1809.0383 [pdf]**
*submitted on 2018-09-20 01:47:03*

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

**Comments:** 9 Pages.

In this paper, we consider the notion of the Smarandache curves by considering the asymptotic orthonormal frames of curves lying fully on lightlike cone in Minkowski 3-space R31.

**Category:** General Mathematics

[2877] **viXra:1809.0382 [pdf]**
*submitted on 2018-09-20 01:47:55*

**Authors:** G.S.Saluja

**Comments:** 17 Pages.

In this paper, we establish some fixed point results for contractive type conditions in the framework of complete cone b-metric spaces and give some applications of our results. The results presented in this paper generalize, extend and unify several well-known comparable results in the existing literature.

**Category:** General Mathematics

[2876] **viXra:1809.0381 [pdf]**
*submitted on 2018-09-20 01:49:15*

**Authors:** Deepak S. Revankar, Priyanka S. Hande, Satish P. Hande, Vijay Teli

**Comments:** 7 Pages.

The topological indices plays vital role in chemistry, pharmacology etc [1]. Let G = (V,E) be
a simple connected graph with vertex set.

**Category:** General Mathematics

[2875] **viXra:1809.0380 [pdf]**
*submitted on 2018-09-20 01:50:09*

**Authors:** R.Ponraj, K.Annathurai, R.Kala

**Comments:** 11 Pages.

In this paper we investigate 4-prime cordial labeling behavior of shadow graph of a path, cycle, star, degree splitting graph of a bistar, jelly fish, splitting graph of a path and star.

**Category:** General Mathematics

[2874] **viXra:1809.0379 [pdf]**
*submitted on 2018-09-20 01:51:08*

**Authors:** M. H. Akhbari, F. Movahedi, S. V. R. Kulli

**Comments:** 13 Pages.

In this paper, we obtain the domination number, the total domination number and the independent domination number in the neighborhood graph. We also investigate these parameters of domination on the join and the corona of two neighborhood graphs.

**Category:** General Mathematics

[2873] **viXra:1809.0378 [pdf]**
*submitted on 2018-09-20 01:52:17*

**Authors:** H.S.Shukla, Neelam Mishra

**Comments:** 11 Pages.

We have studied quasi-C-reducibility, C-reducibility and semi-C-reducibility of the Finsler space with this metric. We have also calculated V-curvature tensor and T-tensor of the space with this changed metric in terms of v-curvature tensor and T-tensor respectively of the space with the original metric.

**Category:** General Mathematics

[2872] **viXra:1809.0377 [pdf]**
*submitted on 2018-09-20 01:53:01*

**Authors:** Samir K. Vaidya, Raksha N. Mehta

**Comments:** 9 Pages.

In this paper we explore the concept of strong domination number and investigate strong domination number of some cycle related graphs.

**Category:** General Mathematics

[2871] **viXra:1809.0376 [pdf]**
*submitted on 2018-09-20 01:54:14*

**Authors:** Hulya GULTEKINCITIL, Nihat ALTINISIK

**Comments:** 10 Pages.

In this paper, the eigenvalues and the eigenfunctions of the homogeneous fuzzy
Sturm-Liouville problem are examined under the three different situations according to the
boundary conditions. This examination is studied under the approach of Hukuhara differ-
entiability. The examples are given for this situations.

**Category:** General Mathematics

[2870] **viXra:1809.0375 [pdf]**
*submitted on 2018-09-20 01:55:07*

**Authors:** Ahmed M. Naji, Soner Nandappa D

**Comments:** 12 Pages.

In this paper, we consider only simple graph G = (V,E), i.e., finite, having no loops no multiple
and directed edges. A graph G is said to be connected if there is a path between every pair of its vertices.

**Category:** General Mathematics

[2869] **viXra:1809.0230 [pdf]**
*submitted on 2018-09-12 02:51:37*

**Authors:** Chaitali Kar, Bappa Mondal, Tapan Kumar Roy

**Comments:** 17 Pages.

In this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent. Here impreciseness is introduced in the storage area. The objective and constraint functions are defined by the truth (membership) degree, indeterminacy (hesitation) degree and falsity (non-membership) degree. Likewise, a non-linear programming problem with a constraint is also considered.

**Category:** General Mathematics

[2868] **viXra:1809.0229 [pdf]**
*submitted on 2018-09-12 02:53:15*

**Authors:** Shyamal Dalapati, Surapati Pramanik

**Comments:** 11 Pages.

Multi attribute group decision making with VIKOR (VlseKriterijuska Optimizacija I Komoromisno Resenje) strategy has been widely applied to solving real-world problems. Recently, Pramianik et al. [S. Pramanik, S. Dalapati, S. Alam, and T. K. Roy. NCVIKOR based MAGDM strategy under neutrosophic cubic set environment, Neutrosophic Sets and Systems, 20 (2018), 95-108]proposed VIKOR strategy for solving MAGDM, where compromise solutions are not identified in neutrosophic cubic environment. To overcome the shortcomings of the paper, we further modify the VIKOR strategy by incorporating compromise solution in neutrosophic cubic set environment. Finally, we solve an MAGDM problem using the modified NC-VIKOR strategy to show the feasibility,
applicability and effectiveness of the proposed strategy. Further, we present sensitivity analysis to show the impact of different values
of the decision making mechanism coefficient on ranking order of the alternatives.

**Category:** General Mathematics

[2867] **viXra:1809.0228 [pdf]**
*submitted on 2018-09-12 03:02:12*

**Authors:** Surapati Pramanik, Partha Pratim Dey

**Comments:** 12 Pages.

The paper presents a novel strategy for solving bi-level linear programming problem based on goal programming in neutrosophic numbers environment. Bi-level linear programming problem comprises of two levels namely upper or first level and lower or second level with one objective at each level. The objective function of each level decision maker and the system
constraints are considered as linear functions with neutrosophic numbers of the form [p + q I], where p, q are real numbers and I represents indeterminacy.

**Category:** General Mathematics

[2866] **viXra:1809.0227 [pdf]**
*submitted on 2018-09-12 03:03:19*

**Authors:** Nguyen Xuan Thao, Florentin Smarandache

**Comments:** 11 Pages.

In this paper, we first propose the concept of divergence measure on neutrosophic sets. We also provide some formulas for the divergence measure for neutrosophic sets. After that, we investigate the properties of proposed neutrosophic divergence measure. Finally, we also apply these formulas in medical problem and the classification problem.

**Category:** General Mathematics

[2865] **viXra:1809.0226 [pdf]**
*submitted on 2018-09-12 03:04:38*

**Authors:** Fatimah M. Mohammed, Shaymaa F. Matar

**Comments:** 10 Pages.

In this paper, we state a new class of sets and called them fuzzy neutrosophic Alpham-closed sets, and we prove some theorem related to this definition. Then, we investigate the relation between fuzzy neutrosophic Alpham-closed sets, fuzzy neutrosophic α closed sets, fuzzy neutrosophic closed sets, fuzzy neutrosophic semi closed sets and fuzzy neutrosophic pre closed sets. On the other hand, some properties of the fuzzy neutrosophic Alpham-closed set are given.

**Category:** General Mathematics

[2864] **viXra:1809.0225 [pdf]**
*submitted on 2018-09-12 03:05:42*

**Authors:** Sahidul Islam, Partha Ray

**Comments:** 10 Pages.

In this paper, we first consider a multi-objective Portfolio Selection model and then we add another entropy objective function and next we generalized the model. We solve the problems using Neutrosophic optimization technique. The models are illustrated with numerical examples.

**Category:** General Mathematics

[2863] **viXra:1809.0224 [pdf]**
*submitted on 2018-09-12 03:06:52*

**Authors:** A. A. Salama, Florentin Smarandache, Hewayda ElGhawalby

**Comments:** 7 Pages.

In this paper, we propose a new technique for the enhancing images. It will work on removing the noise contained in the image as well as improving its contrast based on three different enhancing transforms, we commence by embedding the image into a neutrosophic domain; where the image will be mapped in three different levels, a level of trueness, a level of falseness
and a level of indeterminacy. Hence, we act separately on each level using the enhancement transforms. Finally, we introduce a new analysis in the field of analysis and processing of images using the neutrosophic crisp set theory via Mat lab program where has been obtained three images, which helps in a new analysis to improve and retrieve images.

**Category:** General Mathematics

[2862] **viXra:1809.0223 [pdf]**
*submitted on 2018-09-12 03:07:51*

**Authors:** Riad Khidr Al-Hamido

**Comments:** 8 Pages.

In this paper, neutrosophic crisp bi-topological spaces, new types of open and closed sets in neutrosophic crisp bitopological spaces, the closure and interior neutrosophic crisp set and a new concept of open and closed sets are introduced. The basic properties of these types of open and closed sets and their properties are studied.

**Category:** General Mathematics

[2861] **viXra:1809.0222 [pdf]**
*submitted on 2018-09-12 03:08:53*

**Authors:** Mehmet Şahin, Abdullah Kargın

**Comments:** 8 Pages.

In this article, a notion of neutrosophic triplet (NT) normed ring space is given and properties of NT normed ring spaces are studied. We demonstrate that NT normed ring is different from the classical one. Also, we show that a neutrosophic
triplet normed ring can be a neutrosophic triplet norm when certain conditions are met.

**Category:** General Mathematics

[2860] **viXra:1809.0221 [pdf]**
*submitted on 2018-09-12 03:10:00*

**Authors:** T. Chalapathi, R. V. M. S. S. Kiran Kumar

**Comments:** 8 Pages.

In recent years, the inter connection between classical structures and Neutrosophic structures is studied by few researchers. For such kind of study, researchers defined new algebraic structures whose elements aregenerated by elements in classical algebraic set and indeterminate of the real world problem with respect to algebraic operations on the well defined Neutrosophic elements.

**Category:** General Mathematics

[2859] **viXra:1809.0220 [pdf]**
*submitted on 2018-09-12 03:12:48*

**Authors:** Riad K. Al-Hamido, Qays Hatem Imran, Karem A. Alghurabi, Taleb Gharibah

**Comments:** 8 Pages.

In this paper, we presented another concept of neutrosophic crisp generalized closed sets called neutrosophic crisp semi-alpha-closed sets and studied their fundamental properties in neutrosophic crisp topological spaces.

**Category:** General Mathematics

[2858] **viXra:1809.0219 [pdf]**
*submitted on 2018-09-12 03:17:21*

**Authors:** Ramona Parraga Alava, José Muñoz Murillo, Roy Barre Zambrano, María Isabel Zambrano Vélez, Maikel Leyva Vázquez

**Comments:** 9 Pages.

Neutrosophic cognitive maps and its application in decision making have become a topic of great importance for researchers and practitioners alike.PEST (Political, Economic, Social and Technological), analysis is a precondition analysis with the main functions of the identification of the environment within which and organization or project the operates and pr
viding data and information for enabling the organization to make predictions about new situations and circumstances.

**Category:** General Mathematics

[2857] **viXra:1809.0218 [pdf]**
*submitted on 2018-09-12 03:18:18*

**Authors:** Florentin Smarandache

**Comments:** 14 Pages.

In this paper, we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), which is a set whose elements are characterized by many attributes’ values. An attribute value v has a corresponding (fuzzy, intuitionistic fuzzy, or neutrosophic) degree of appurtenance d(x,v) of the element x, to the set P, with respect to some
given criteria.

**Category:** General Mathematics

[2856] **viXra:1809.0217 [pdf]**
*submitted on 2018-09-12 03:19:20*

**Authors:** Suriana Alias, Daud Mohamad, Adibah Shuib

**Comments:** 20 Pages.

The concepts of rough neutrosophic multisets can be easily extended to a relation, mainly since a relation is also a set, i.e. a subset of a Cartesian product. Therefore, the objective of this paper is to define the definition of rough
neutrosophic multisets relation of Cartesian product over a universal set.

**Category:** General Mathematics

[2855] **viXra:1809.0216 [pdf]**
*submitted on 2018-09-12 03:20:37*

**Authors:** Milton Villegas Alava, Stella Paola Delgado Figueroa, Hilda Mercedes Blum Alcivar, Maikel Leyva Vázquez

**Comments:** 9 Pages.

Neutrosophic sets and its application to decision support have become a topic of great importance. In this paper, a new model for decision making in the selection of projects is presented based on single valued neutrosophic number (SVNnumbers) and the analytic hierarchy process (AHP). The proposed framework is composed of five activities, framework, criteria weighting, gathering information, rating alternatives and project selection. Project alternatives are rated based on aggregation operator and the ranking of alternatives is based on scoring and accuracy functions.

**Category:** General Mathematics

[2854] **viXra:1809.0009 [pdf]**
*submitted on 2018-09-01 03:51:18*

**Authors:** Han Geurdes

**Comments:** 4 Pages.

With the use of the even/odd number analysis it was found that there is no non-Goldbach even integer >4 number possible.

**Category:** General Mathematics

[2853] **viXra:1808.0684 [pdf]**
*submitted on 2018-08-31 10:12:33*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 4 Pages.

The Riemann zeta-function is one of the most studied complex function in mathematics. Riemann in his 1859 paper On the Number of Prime Numbers less than a Given Quantity [1] claimed that the analytic continuation of the zeta-function extends its domain over the entire complex plane except at s = 1. But, as I’ve shown in my two papers: A Short Disproof of the Riemann Hypothesis [2] and Riemann’s Functional Equation is Not a Valid Function and Its Implication on the Riemann Hypothesis [3], the zeta-function is only defined on the right half-plane. It is the purpose of this present work to precisely locate the domain of this function on the right half-plane.

**Category:** General Mathematics

[2852] **viXra:1808.0627 [pdf]**
*submitted on 2018-08-28 07:39:51*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

This note presents a definite integral.

**Category:** General Mathematics

[2851] **viXra:1808.0624 [pdf]**
*submitted on 2018-08-28 11:37:38*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 10 Pages.

Riemann’s functional equation was formulated by Riemann himself in order to extend the domain of the zeta function from the right half-plane into the entire complex plane except at s = 1. It also lead him to find a real function, so that, at s = ½ + ωi, the real function has zeros for some values of ω. Now, the real function was also related to the zeta function, which in turn has something to do with the distribution of prime numbers. This drove him to developed a formula of relating the zeros of the zeta function to the number of primes given a certain number. Riemann then conjectured that all the zeros of the zeta function are at s = ½ + ωi, which is now known as the Riemann Hypothesis. Hence, Riemann’s functional equation is the foundation upon which the Riemann Hypothesis is based. But, there is one problem, the function as shall be shown here, suffers from not being able to yield meaningful or valid values, as it should. Also, if one carefully examine on how Riemann arrived at his formula, I for one, found it to be unsatisfactory or unconvincing. It is, therefore, the aim of this present work to show, that, if carefully examined, Riemann’s functional equation could not be a valid function, and consequently, the Riemann Hypothesis crumbles on its claim.

**Category:** General Mathematics

[2850] **viXra:1808.0599 [pdf]**
*submitted on 2018-08-28 00:09:35*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 3 Pages.

The Riemann Hypothesis is one of the most important unsolved problem in Mathematics: its validity will have have a great consequence on the precise calculation of the number of primes. Riemann developed an explicit formula relating the number of primes with the hypothesized non-trivial zeros of the Riemann zeta function. Riemann hypothesis states that all the non-trivial zeros of the zeta function have real part equal to one-half on the critical strip.
Despite many attempts to solve it for about 150 years, no one have, so far succeeded. Riemann hypothesis is based on the existence of the zeros of the zeta function. If it can be shown, that, such zeros do not exist, then, the Riemann Hypothesis is false.

**Category:** General Mathematics

[2849] **viXra:1808.0552 [pdf]**
*submitted on 2018-08-24 21:33:42*

**Authors:** Toshiro Takami

**Comments:** 8 Pages.

I found a prime number equation.
(a = positive integer, t = prime number etc.)
For other positive integers(a), t is an irrational number.
This generates prime numbers, but also generates a composite number of prime numbers and irrational numbers.
However, at this time
Nevertheless, it never happens to generate all the prime numbers. About half of the prime numbers are generated.

**Category:** General Mathematics

[2848] **viXra:1808.0539 [pdf]**
*submitted on 2018-08-23 10:36:47*

**Authors:** Alexander Nieguth, Sebastian Scholz

**Comments:** 8 Pages.

Let $\varepsilon'$ be a Riemannian category. Recently, there has been much interest in the characterization of groups. We show that $\frac{1}{{O_{G}}} \ge {\pi_{t}} \left(-1, \dots, \frac{1}{\aleph_0} \right)$. Hence this could shed important light on a conjecture of Pascal. So a central problem in non-standard number theory is the derivation of manifolds. Furthermore the awesomeness-intelligence paradoxon is solved introducing units of Scholz

**Category:** General Mathematics

[2847] **viXra:1808.0537 [pdf]**
*submitted on 2018-08-23 11:47:32*

**Authors:** Abdalla M. Aboarab

**Comments:** 12 Pages.

In this paper, the power series is looked at from a different perspective.
The Summation of $n^{m}a^{-bn}$ is evaluated using a new method. An assumption
is made that the power $-bn$ is multiplied by $x$ where $ x=1$; then the series
is integrated m times in order to cancel the term $n^{m} $ out leaving the term
$a^{-bn}$. By simply taking the derivative of the result m-times, an expression
to evaluate the series arises, which include only a constant term and the
m$^{th}$ order derivative of the summation of a simple geometric series.
Further applications of the method are used to evaluate the series with the
cosine, sine, hyperbolic sine, and hyperbolic cosine. Finally, the method is
used to further simplify some of the hardest forms of series to deal with: the
series $n^{m}$sinh$^{v}(ny)$, and $n^{m}$cosh$^{v}(ny)$ and
$n^{m}$sin$^{v}(ny)$.

**Category:** General Mathematics

[2846] **viXra:1808.0519 [pdf]**
*submitted on 2018-08-22 12:10:45*

**Authors:** Colin James III

**Comments:** 1 Page. Copyright © 2018 by Colin James III All rights reserved. Respond to this author's email address: info@ersatz-systems dot com. (We instruct troll Mikko L at Disqus to read this entire article twice before typing.)

Neutrosophy combines A and nonA, getting a degree of A, a degree of neutA, and a degree of antiA, where A actually gives birth to antiA and neutA.
The logic of neutrosophy is not tautologous, and hence not a theory of everything in logics.

**Category:** General Mathematics

[2845] **viXra:1808.0508 [pdf]**
*submitted on 2018-08-21 08:04:27*

**Authors:** En Fan, Weixin Xie, Jihong Pei, Keli Hu, Xiaobin Li

**Comments:** 13 Pages.

A neutrosophic Hough transform-based track initiation method (NHT-TI) is proposed to solve the uncertain track initiation problem in a complex surveillance environment. In the proposed method, a neutrosophic set is employed to describe the uncertain association of a measurement with different targets, which is divided into three categories including the association with real targets, uncertain targets and false targets, respectively.

**Category:** General Mathematics

[2844] **viXra:1808.0507 [pdf]**
*submitted on 2018-08-21 08:05:31*

**Authors:** Mehmet Ali Ozturk, Young Bae Jun

**Comments:** 17 Pages.

The concept of neutrosophic set (NS) developed by Smarandache is a more general platform which extends the concepts of the classic set and fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.

**Category:** General Mathematics

[2843] **viXra:1808.0505 [pdf]**
*submitted on 2018-08-21 08:08:02*

**Authors:** Abbas Y. Al-Bayati

**Comments:** 1 Page.

It is our pleasure and honor to invite all interested academic in both Telafer and Mosul universities , for hope to get benefit from those important knowledge aspects which represent the basic that all modern science will emanate from it, because of the Neutrosophic logic is more general and more comprehensive from fuzzy logic and intuitionistic fuzzy logic.

**Category:** General Mathematics

[2842] **viXra:1808.0504 [pdf]**
*submitted on 2018-08-21 08:09:06*

**Authors:** A. Solairaju, M. Shajahan

**Comments:** 6 Pages.

Yager [1988] developed the ordered weighted averaging (OWA) operator and applied in decision making problems. Xu & Yager [2006] developed some geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionistic fuzzy hybrid geometric (IFHG) operator and gave an application of the IFHG operator to multiple
attribute group decision making with intuitionistic fuzzy information. Xu [2007e] and Xu & Chen [2007a, 2007b] also developed
some arithmetic aggregation operators for decision making problems.

**Category:** General Mathematics

[2841] **viXra:1808.0503 [pdf]**
*submitted on 2018-08-21 08:10:10*

**Authors:** Surapati Pramanik, Durga Banerjee

**Comments:** 8 Pages.

The purpose of the paper is to propose goal programming strategy to multi-objective linear programming problem with neutrosophic numbers which we call NN-GP. The coefficients of objective functions and the constraints are considered as neutrosophic numbers of the form (m+nI), where m, n are real numbers and I denotes indeterminacy.

**Category:** General Mathematics

[2840] **viXra:1808.0502 [pdf]**
*submitted on 2018-08-21 08:11:19*

**Authors:** Jun Ye, Wenhua Cui, Zhikang Lu

**Comments:** 9 Pages.

In practical situations, we often have to handle programming problems involving indeterminate information.

**Category:** General Mathematics

[2839] **viXra:1808.0501 [pdf]**
*submitted on 2018-08-21 08:12:30*

**Authors:** S. Thiruveni, A. Solairaju

**Comments:** 8 Pages.

In this paper, the notation of concept of neutrosopy in Q-fuzzy set is introduced. Further some properties and results on neutrosophic Q-fuzzy subgroups are discussed.

**Category:** General Mathematics

[2838] **viXra:1808.0500 [pdf]**
*submitted on 2018-08-21 08:13:11*

**Authors:** Kemale Veliyeva, Sadi Bayramov

**Comments:** 12 Pages.

Molodtsov initiated the concept of soft sets in [17]. Maji et al. defined some operations on soft sets in [13]. Aktaş et al. generalized soft sets by defining the concept of soft groups in [2]. After then, Qiu-Mei Sun et al. gave soft modules in [20]. In this paper, the concept of neutrosophic soft module is introduced and some of its basic properties are studied.

**Category:** General Mathematics

[2837] **viXra:1808.0499 [pdf]**
*submitted on 2018-08-21 08:14:16*

**Authors:** Cemil KURU

**Comments:** 42 Pages.

Ordu Oniversitesi Fen Bilimleri Enstitlisti ogrencisi Cemil KURU tarafmdan haz1rlanan ve Yrd. Do9. Dr. Mehmet KORKMAZ dam~manhgmda yilrilttilen
"Neutrosophic Topolojik Uzaylar "adh bu tez, jurimiz tarafmdan 18 I 12 I 2017 tarihinde oy birligi I ov coklueu ile Matematik Anabilim Dalmda Yuksek Lisans tezi olarak kabul edilmistir.

**Category:** General Mathematics

[2836] **viXra:1808.0494 [pdf]**
*submitted on 2018-08-22 01:53:10*

**Authors:** Burak KILIC

**Comments:** 35 Pages.

Ordu Oniversitesi Fen Bilimleri Enstitilsti ogrencisi Burak KILIC; tarafmdan haz1rlanan ve Yrd.Doc. Dr. Yild1ray CELiK damsmanhgmda ytirtiti.ilen "Neutrosophic Topolojik Uzaylarda Kompakthk" adh bu tez, jtirimiz tarafmdan 18/12/2017 tarihinde oy birligi I ov coklugu ile Matematik Anabilim Dalmda YtiksekLisans tezi olarak kabul edilmistir.

**Category:** General Mathematics

[2835] **viXra:1808.0493 [pdf]**
*submitted on 2018-08-22 01:54:22*

**Authors:** Mikail Bal, Moges Mekonnen Shalla, Necati Olgun

**Comments:** 13 Pages.

In this paper, by utilizing the concept of a neutrosophic extended triplet (NET), we define
the neutrosophic image, neutrosophic inverse-image, neutrosophic kernel, and the NET subgroup. The notion of the neutrosophic triplet coset and its relation with the classical coset are defined and the
properties of the neutrosophic triplet cosets are given. Furthermore, the neutrosophic triplet normal subgroups, and neutrosophic triplet quotient groups are studied.

**Category:** General Mathematics

[2834] **viXra:1808.0491 [pdf]**
*submitted on 2018-08-22 02:30:14*

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

**Comments:** 16 Pages.

The notion of classical soft multisets is extended to neutrosophic vague soft multisets by applying the theory of soft multisets to neutrosophic vague sets to be more effective and useful. We also define its basic operations, namely complement,subset, union, intersection along with illustrative examples, and study some related properties with supporting proofs. Lastly, this notion is applied to a decision making problem and its effectiveness is demonstrated using an illustrative example.

**Category:** General Mathematics

[2833] **viXra:1808.0490 [pdf]**
*submitted on 2018-08-22 02:31:45*

**Authors:** Luu Huu Van, Vincent F. Yu, Luu Quoc Dat, Canh Chi Dung, Shuo-Yan Chou, Nguyen Viet Loc

**Comments:** 13 Pages.

Green supplier evaluation and selection plays a crucial role in the green supply chain management of any organization to reduce the purchasing cost of materials and increase the flexibility and quality of products.

**Category:** General Mathematics

[2832] **viXra:1808.0489 [pdf]**
*submitted on 2018-08-22 02:34:03*

**Authors:** Wei Yang, Yongfeng Pang

**Comments:** 16 Pages.

Interval neutrosophic fuzzy decision making is an important part of decision making under uncertainty, which is based on preference order. In this study, a new multi-valued interval neutrosophic fuzzy multiple attribute decision making method has been developed by integrating the DEMATEL (decision making trial and evaluation laboratory) method and the TOPSIS (the technique for order preference by similarity to an ideal solution) method. Evaluation values are given in the form of multi-valued interval neutrosophic fuzzy values. By using DEMATEL, dependencies among
attributes can be modeled, and attribute weights are determined.

**Category:** General Mathematics

[2831] **viXra:1808.0488 [pdf]**
*submitted on 2018-08-22 02:35:12*

**Authors:** Chunfang Liu

**Comments:** 11 Pages.

The simplified neutrosophic set (SNS) is a generalization of fuzzy set that is designed for some practical situations in which each element has truth membership function, indeterminacy membership function and falsity membership function. In this paper, we propose a new method to construct similarity measures of single valued neutrosophic sets (SVNSs) and interval valued neutrosophic sets (IVNSs), respectively. Then we prove that the proposed formulas satisfy the axiomatic definition of the similarity measure. At last, we apply
them to pattern recognition under the single valued neutrosophic environment and multi-criteria decision making problems under the interval valued neutrosophic environment. The results show that our methods are effective and reasonable.

**Category:** General Mathematics

[2830] **viXra:1808.0485 [pdf]**
*submitted on 2018-08-22 02:38:51*

**Authors:** Francisco Gallego Lupiáñez

**Comments:** 6 Pages.

Recently, F. Smarandache generalized the Atanassov’s intuitionistic fuzzy sets and other
kinds of sets to neutrosophic sets (NSs). Also, this author introduced a general definition of
neutrosophic topology. On the other hand, there exist various kinds of paraconsistent logics, where some contradiction is admissible. The purpose of this paper is to show that a Smarandache’s definition of neutrosophic paraconsistent topology is not a generalization of C¸ oker’s intuitionistic fuzzy topology
(IFT) or Smarandache’s general neutrosophic topology.

**Category:** General Mathematics

[2829] **viXra:1808.0484 [pdf]**
*submitted on 2018-08-22 02:40:01*

**Authors:** Francisco Gallego Lupianez

**Comments:** 6 Pages.

Recently, Smarandache generalized the Atanassov’s intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy
topology (IFT) on an IFS and the neutrosophic topology. This paper aims to show that this is false.

**Category:** General Mathematics

[2828] **viXra:1808.0483 [pdf]**
*submitted on 2018-08-22 02:41:26*

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

**Comments:** 8 Pages.

We define pseudohyperbolical Smarandache curves according to the Sabban frame in Minkowski 3-space.We obtain the geodesic curvatures and the expression for the Sabban frame vectors of special pseudohyperbolic Smarandache curves. Finally, we give some examples of such curves.

**Category:** General Mathematics

[2827] **viXra:1808.0482 [pdf]**
*submitted on 2018-08-22 02:42:18*

**Authors:** H. S. Abdel-Aziz, M. Khalifa Saad

**Comments:** 21 Pages.

In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric properties and the uses in various fields, we are interested here to study a special kind of curves called Smarandache curves in Lorentz 3-space.

**Category:** General Mathematics

[2826] **viXra:1808.0481 [pdf]**
*submitted on 2018-08-22 02:43:19*

**Authors:** Francisco Gallego Lupiáñez

**Comments:** 6 Pages.

Recently, F. Smarandache generalized the Atanassov’s intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs) and also defined various notions of neutrosophic topologies on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology (IFT) on an IFS and neutrosophic topologies on the non-standard interval. The purpose of this paper is to show that this is false.

**Category:** General Mathematics

[2825] **viXra:1808.0480 [pdf]**
*submitted on 2018-08-22 02:44:28*

**Authors:** Y Rameswara Reddy, B Chandra Mohan Reddy

**Comments:** 7 Pages.

The work presents optimization of process parameters in wire electrical discharge machining process. This paper presents the results of experimental work carried out in Wire Electrical Discharge Machining of Super Ni 718 super alloy. Experiments have been conducted using 8 process parameters such as Pulse on time, Spark gap, Wire feed, Wire tension, flushing pressure, servo speed and peak current at 3 levels for obtaining responses like surface finish, material removal rate and dimensional deviation. The optimal setting of parameters is determined through experiments planned, conducted and analyzed using Neutrosophic sets and TOPSIS method.

**Category:** General Mathematics

[2824] **viXra:1808.0479 [pdf]**
*submitted on 2018-08-22 02:45:26*

**Authors:** Y.Rameswara Reddy, B.Chandra Mohana Reddy

**Comments:** 7 Pages.

This paper presents a study that investigates the effect of the WEDM process parameters on the surface roughness, MRR and DD of the Super Ni 718 supper alloy. Twenty seven experimental runs based on an orthogonal array of Taguchi method are performed and grey relational analysis with SVNS for weightages is applied to determine an optimal WEDM parameter setting. Surface roughness, MRR and DD are selected as the quality targets. An optimal parameter combination of the WEDM process is obtained using Grey relational analysis with SVNS. By analyzing the Grey relational grade matrix, the degree of influence for each controllable process factor onto individual quality targets can be found and the ranks are obtained.

**Category:** General Mathematics

[2823] **viXra:1808.0478 [pdf]**
*submitted on 2018-08-22 02:47:00*

**Authors:** 张扬， 杨建华, 侯宏

**Comments:** 7 Pages.

摘 要：针对水声目标信号复杂、样本获取难度大且富含不确定信息的问题，研究了一种证据聚类识 别算法。首先在水声目标的各类训练样本中，根据特征距离大小选取待识别目标的Ｋ 近邻，并采用证 据近邻分类优化算法为各目标数据构造一组合理的初始基本置信指派。然后对算法的目标函数进行 循环迭代优化，计算出目标数据最终的全局基本置信指派。最后根据融合结果和所设立的分类规则 即可判断目标的类别属性。通过水声目标实测数据的实验，将新算法与其他几种常用的水声目标识 别算法进行了对比分析，结果表明其能有效提高识别准确率。

**Category:** General Mathematics

[2822] **viXra:1808.0476 [pdf]**
*submitted on 2018-08-22 02:50:15*

**Authors:** Maheswara Rao Valluri

**Comments:** 3 Pages.

A natural number is a prime if it has only factors of 1 and itself. There are, by Euclidean theorem (about 350BC) infinitely many primes.

**Category:** General Mathematics

[2821] **viXra:1808.0475 [pdf]**
*submitted on 2018-08-22 02:51:28*

**Authors:** Majdoleen Abu Qamar, Nasruddin Hassan

**Comments:** 14 Pages.

Q-neutrosophic soft sets are essentially neutrosophic soft sets characterized by three
independent two-dimensional membership functions which stand for uncertainty, indeterminacy and falsity. Thus, it can be applied to two-dimensional imprecise, indeterminate and inconsistent data which appear in most real life problems.

**Category:** General Mathematics

[2820] **viXra:1808.0474 [pdf]**
*submitted on 2018-08-22 02:52:44*

**Authors:** Nivetha Martin, P.Pandiammal

**Comments:** 5 Pages.

In this present scenario the job market is getting detained due to growing competitions in almost all fields. The stratification of gender plays a significant role in getting employed. To overcome the condition of unemployment the state of entrepreneurship came into existence which paved way for the development of new paradigm of self employment. In the earlier days male entrepreneurs were predominant, but now the women folk have also stepped into it.

**Category:** General Mathematics

[2819] **viXra:1808.0473 [pdf]**
*submitted on 2018-08-22 02:53:31*

**Authors:** Ali Amer Mohammed Saeed

**Comments:** 6 Pages.

Knowledge Representation and Processing (KRP)
plays an important role in the development of expert systems as engines for accelerating the processes of economic and social life development.

**Category:** General Mathematics

[2818] **viXra:1808.0472 [pdf]**
*submitted on 2018-08-22 02:54:30*

**Authors:** U. Solang, J. Ye

**Comments:** 12 Pages.

Refined simplified neutrosophic sets (RSNSs) are appropriately used in decision-making problems with sub-attributes considering their truth components, indeterminacy components and falsity components independently.

**Category:** General Mathematics

[2817] **viXra:1808.0471 [pdf]**
*submitted on 2018-08-22 02:55:55*

**Authors:** Shengjun Wu, Jie Wang, Guiwu Wei, Yu Wei

**Comments:** 26 Pages.

In this paper, we expand the Hamy mean (HM) operator, weighted Hamy mean (WHM),
dual Hamy mean (DHM) operator, and weighted dual Hamy mean (WDHM) operator with 2-tuple
linguistic neutrosophic numbers (2TLNNs) to propose a 2-tuple linguistic neutrosophic Hamy
mean (2TLNHM) operator, 2-tuple linguistic neutrosophic weighted Hamy mean (2TLNWHM)
operator, 2-tuple linguistic neutrosophic dual Hamy mean (2TLNDHM) operator, and 2-tuple
linguistic neutrosophic weighted dual Hamy mean (2TLNWDHM) operator. Then, the multiple
attribute decision-making (MADM) methods are proposed with these operators. Finally, we utilize an applicable example in risk assessment for construction engineering projects to prove the proposed methods.

**Category:** General Mathematics

[2816] **viXra:1808.0468 [pdf]**
*submitted on 2018-08-22 02:59:05*

**Authors:** Jing-JingWang, Zhong-Hua Miao, Feng-Bao Cui, Hu-Chen Liu

**Comments:** 18 Pages.

Nowadays robots have been commonly adopted in various manufacturing industries to improve product quality and productivity. The selection of the best robot to suit a specific production
setting is a difficult decision making task for manufacturers because of the increase in complexity and number of robot systems.

**Category:** General Mathematics

[2815] **viXra:1808.0467 [pdf]**
*submitted on 2018-08-22 03:00:45*

**Authors:** Farhan Dakhil Shyaa

**Comments:** 5 Pages.

In this paper, we define the concept of a smarandache anti fuzzy M-semigroup (S-Anti Fuzzy M-Semigroup) and some elementary properties about this concept are discussed.

**Category:** General Mathematics

[2814] **viXra:1808.0465 [pdf]**
*submitted on 2018-08-22 03:42:13*

**Authors:** Muhammad Azhar Iqbal, Ehsan Ellahi Khawaja

**Comments:** 61 Pages.

Scientific Inquiry and Review publishes articles in the fields of mathematics,
biology, chemistry, physics and other miscellaneous areas of pure and applied sciences. Manuscripts are categorized into broader areas of pure and applied sciences and may be published as full length articles, short communications/letters, review articles, letter to editor etc. Contributors are encouraged to contact directly to the Chief Editor or editorial team to avoid any conflict about forthcoming publications.

**Category:** General Mathematics

[2813] **viXra:1808.0462 [pdf]**
*submitted on 2018-08-22 03:45:39*

**Authors:** Andrey Kostin, Natalya Kostina, Aleksandr Minkin, Ellina Anisimova

**Comments:** 7 Pages.

Issues of simulation modeling are currently being given more and more attention in training specialists from different fields. In particular, in pedagogical universities it can be actively used during classes in teaching methods of various subjects. Simulation modeling involves the replacement of a real process by its model, reflecting the most significant characteristics of a real process from the point of view of the goals set.

**Category:** General Mathematics

[2812] **viXra:1808.0459 [pdf]**
*submitted on 2018-08-22 04:18:37*

**Authors:** Edward Samuel.A, Narmadhagnanam r.

**Comments:** 5 Pages.

In this paper, sine logarithmic distance among neutrosophic refined sets is proposed and some of its properties are discussed herein. The
concept of the above method is an essential tool for dealing with uncertainties and shortcomings that affect the existing methods. Implementation
of medical diagnosis is presented to find out the disease impacting the patient.

**Category:** General Mathematics

[2811] **viXra:1808.0458 [pdf]**
*submitted on 2018-08-22 04:19:44*

**Authors:** Durga Banerjee, Surapati Pramanik

**Comments:** 16 Pages.

This paper deals with single-objective linear goal programming problem with neutrosophic numbers. The
coefficients of objective function and the constraints are considered as neutrosophic numbers of the form (p +qI), where p, q are real numbers and I denotes indeterminacy. In the solution process, the neutrosophic numbers are transformed into interval numbers.

**Category:** General Mathematics

[2810] **viXra:1808.0457 [pdf]**
*submitted on 2018-08-22 04:21:19*

**Authors:** Qiaoyan Li, Yingcang Ma, Shuangwu Zhu

**Comments:** 12 Pages.

Data clustering is an important field in pattern recognition and machine learning. Fuzzy c-means is considered as a useful tool in data clustering. Neutrosophic set, which is extension of fuzzy set, has received extensive attention in solving many real life problems of uncertainty, inaccuracy, incompleteness, inconsistency and uncertainty.

**Category:** General Mathematics

[2809] **viXra:1808.0456 [pdf]**
*submitted on 2018-08-22 04:22:28*

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

**Comments:** 14 Pages.

We introduce certain concepts, including single-valued neutrosophic hypergraph, line graph of single-valued neutrosophic hypergraph, dual single-valued neutrosophic hypergraph and transversal single-valued neutrosophic hypergraph.

**Category:** General Mathematics

[2808] **viXra:1808.0454 [pdf]**
*submitted on 2018-08-22 04:24:44*

**Authors:** Orhan EcemiŞ, Memet Şahin, Abdullah Kargin

**Comments:** 14 Pages.

Neutrosophy is a branch of philosophy. Neutrosophy is based on neutrosophic logic, neutrosophic
probability and neutrosophic set. Neutrosophic triplet theory is new structure in neutrosophic set theory. In this study; we introduced notion of generalized neutrosophic triplet group. We defined contrary element for generalized neutrosophic triplet group.

**Category:** General Mathematics

[2807] **viXra:1808.0453 [pdf]**
*submitted on 2018-08-22 04:26:36*

**Authors:** J. H. Kim, P. K. Lim, J. G. Lee, K. Hur

**Comments:** 21 Pages.

We introduce the concept of a single valued neutrosophic reFLexive, symmetric and transitive relation. And we study single valued neutrosophic analogues of many results concerning relationships between ordinary reflexive, symmetric and transitive relations. Next, we dene the concepts of a single valued neutrosophic equivalence class and a single valued neutrosophic partition, and we prove that the set of all single valued neutrosophic
equivalence classes is a single valued neutrosophic partition and the single valued neutrosophic equivalence relation is induced by a single valued neutrosophic partition.

**Category:** General Mathematics

[2806] **viXra:1808.0452 [pdf]**
*submitted on 2018-08-22 04:27:23*

**Authors:** Tanju Kahraman

**Comments:** 6 Pages.

In this paper, we define Smarandache curves of null quaternionic curves in the semi-Euclidean space 31E and obtaine that curvatures of null quaternionic curves have some relations for Smarandache curves

**Category:** General Mathematics

[2805] **viXra:1808.0450 [pdf]**
*submitted on 2018-08-22 04:30:15*

**Authors:** Yushui Geng, Xingang Wang, Xuemei Li, Kun Yu, Peide Liu

**Comments:** 23 Pages.

There are many practical decision-making problems in people’s lives, but the information given by decision makers (DMs) is often unclear and how to describe this information is of critical importance.

**Category:** General Mathematics

[2804] **viXra:1808.0449 [pdf]**
*submitted on 2018-08-22 04:31:18*

**Authors:** Peide Liu, Xinli You

**Comments:** 26 Pages.

Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate
information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the
Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making
(MAGDM) problems because it can capture the interrelationship among the multi-input
arguments.

**Category:** General Mathematics

[2803] **viXra:1808.0448 [pdf]**
*submitted on 2018-08-22 04:32:10*

**Authors:** V. Krishnaraj, R. Vikramaprasad

**Comments:** 11 Pages.

In this paper, we introduce the concepts of Bi-Magic labeling in single valued neutrosophic graphs. We investigate some properties of single valued neutrosophic bi-magic labeling on path, cycle and star graphs.

**Category:** General Mathematics

[2802] **viXra:1808.0447 [pdf]**
*submitted on 2018-08-22 04:33:12*

**Authors:** Subramanian Visweswaran, Jaydeep Parejiya

**Comments:** 15 Pages.

The rings considered in this article are commutative with identity which admit at least two maximal ideals. Let R be a ring such that R admits at least two maximal ideals.

**Category:** General Mathematics

[2801] **viXra:1808.0446 [pdf]**
*submitted on 2018-08-22 04:34:19*

**Authors:** Tevk Sahin, Merve Okur

**Comments:** 15 Pages.

In the present paper, we investigate special Smarandache curves with Darboux apparatus with respect to Frenet and Darboux frame of an arbitrary curve on a surface in the three-dimensional Galilean space G3.

**Category:** General Mathematics

[2800] **viXra:1808.0444 [pdf]**
*submitted on 2018-08-22 04:36:20*

**Authors:** Jiangbo Feng, Min Li, Yansong Li

**Comments:** 21 Pages.

Rooftop distributed photovoltaic projects have been quickly proposed in China because
of policy promotion. Before, the rooftops of the shopping mall had not been occupied, and it was
urged to have a decision-making framework to select suitable shopping mall photovoltaic plans.

**Category:** General Mathematics

[2799] **viXra:1808.0443 [pdf]**
*submitted on 2018-08-22 04:37:27*

**Authors:** Gülnur ŞAFFAK ATALAY

**Comments:** 11 Pages.

In this paper, we analyzed surfaces family possessing a Mannheim partner curve of a
given curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we
express the family of surfaces as a linear combination of the components of this frame
and derive the necessary and sufficient conditions for coefficients to satisfy both the geodesic and isoparametric requirements. The extension to ruled surfaces is also outlined.
Finally, examples are given to show the family of surfaces with common Mannheim geodesic curve.

**Category:** General Mathematics

[2798] **viXra:1808.0442 [pdf]**
*submitted on 2018-08-22 04:58:08*

**Authors:** Angyan Tu, Jun Ye, Bing Wang

**Comments:** 10 Pages.

A simplified neutrosophic set (containing interval and single-valued neutrosophic sets) can
be used for the expression and application in indeterminate decision-making problems because three elements in the simplified neutrosophic set (including interval and single valued neutrosophic sets)are characterized by its truth, falsity, and indeterminacy degrees.

**Category:** General Mathematics

[2797] **viXra:1808.0439 [pdf]**
*submitted on 2018-08-22 05:06:57*

**Authors:** Changxing Fanhangxing, En Fan, Jun Ye

**Comments:** 12 Pages.

Based on the multiplicity evaluation in some real situations, this paper firstly introduces
a single-valued neutrosophic multiset (SVNM) as a subclass of neutrosophic multiset (NM) to
express the multiplicity information and the operational relations of SVNMs.

**Category:** General Mathematics

[2796] **viXra:1808.0438 [pdf]**
*submitted on 2018-08-22 05:07:54*

**Authors:** Sue Newell

**Comments:** 11 Pages.

The People's Republic of China (PRC) is
home to 25 per cent of the world's population.

**Category:** General Mathematics

[2795] **viXra:1808.0436 [pdf]**
*submitted on 2018-08-22 05:10:25*

**Authors:** Vu Dung, Luong Thu Thuy, Pham Quynh Mai, Nguyen Van Dan, Nguyen Thi Mai Lan

**Comments:** 8 Pages.

Personnel selection is one of the most critical strategies for companies to enhance the input quality of human resource their competitive strength in knowledge economy environment. Interval neutrosophic set (INS) is an adequate way for modeling uncertainty in decision making problems.

**Category:** General Mathematics

[2794] **viXra:1808.0435 [pdf]**
*submitted on 2018-08-22 05:11:20*

**Authors:** Debapriya Banik, Zahid Hasan

**Comments:** 12 Pages.

Red Tech. BD, an online based business company intended to spread their business over whole Rajshahi District. As there is no cost for manufacturing the only factor that can maximize the profit is the product transportation cost. Determination of the optimum & reliable transportation medium was the first challenge.

**Category:** General Mathematics

[2793] **viXra:1808.0434 [pdf]**
*submitted on 2018-08-22 05:12:23*

**Authors:** SumanMaity, Sujit Kumar De, Madhumangal Pal

**Comments:** 11 Pages.

In this article we develop an economic order quantity (EOQ) model with backlogging where the
decision is made jointly from two decision maker supposed to view one of them as the industrialist (developer) and the other one as the responsible manager.

**Category:** General Mathematics

[2792] **viXra:1808.0433 [pdf]**
*submitted on 2018-08-22 05:13:57*

**Authors:** T. Srinivasa Rao, B. Srinivasa Kumar, S. Hanumanth Rao

**Comments:** 8 Pages.

Molodtsov ‘s soft settheory has been considered an effecient Mathematical tool is conduct along
uncertainties. In our regular life, we frequently facing some real problems which need right decision making to get the best solution for these problems. Therefore, it is necessary to consider various parameters related to the best solution. In this paper, we applied Γ(Gamma)-Soft set theory in decision making problems.

**Category:** General Mathematics

[2791] **viXra:1808.0432 [pdf]**
*submitted on 2018-08-22 05:15:20*

**Authors:** Snežana Urošević, Dragiša Stanujkić, Darjan Karabašević, Pavle Brzaković

**Comments:** 17 Pages.

Natural beauties of Eastern Serbia combined with the culture, traditions, food specialties and music, can become a recognizable tourism brand, which could improve the image of this part of Serbia, and that is the reason why Eastern Serbia has been recently discovering its potential
for tourism development.

**Category:** General Mathematics

[2790] **viXra:1808.0431 [pdf]**
*submitted on 2018-08-21 06:56:32*

**Authors:** Mehmet Şahin, Irfan Deli, Vakkas Ulusay

**Comments:** 22 Pages.

In this paper, we first proposed the extension principles of neutrosophic multi-sets and cut sets which are a bridge between neutrosophic multi-sets and crisp sets. Then the representation theorem of neutrosophic multi-sets based on cut sets are studied. Finally, the addition, subtraction, multiplication and division operations over neutrosophic multi-sets are defined based on the extension principle.

**Category:** General Mathematics

[2789] **viXra:1808.0430 [pdf]**
*submitted on 2018-08-21 06:57:56*

**Authors:** Jianghong Zhu, Rui Wang, Yanlai Li

**Comments:** 24 Pages.

Failure mode and effects analysis is an effective and powerful risk evaluation technique in the field of risk management, and it has been extensively used in various industries for identifying and decreasing known and potential failure modes in systems, processes, products, and services. Traditionally, a risk priority number is applied to capture the ranking order of failure modes in failure mode and effects analysis.

**Category:** General Mathematics

[2788] **viXra:1808.0429 [pdf]**
*submitted on 2018-08-21 06:58:59*

**Authors:** Juanli Li, Jiacheng Xie, Zhaojian Yang, Junjie Li

**Comments:** 16 Pages.

To reduce the difficulty of acquiring and transmitting data in mining hoist fault diagnosis
systems and to mitigate the low efficiency and unreasonable reasoning process problems, a fault
diagnosis method for mine hoisting equipment based on the Internet of Things (IoT) is proposed
in this study.

**Category:** General Mathematics

[2787] **viXra:1808.0428 [pdf]**
*submitted on 2018-08-21 07:00:10*

**Authors:** Memet Şahin, Abdullah Kargın, Mehmet Ali Çoban

**Comments:** 7 Pages.

Neutrosphic triplet is a new theory in neutrosophy. In a neutrosophic triplet set, there is a neutral element and antielement for each element. In this study, the concept of neutrosophic triplet partial metric space (NTPMS) is given and the properties of NTPMS are studied.

**Category:** General Mathematics

[2786] **viXra:1808.0427 [pdf]**
*submitted on 2018-08-21 07:00:57*

**Authors:** P. Sudha, A. Murugan

**Comments:** 7 Pages.

The objective of this paper is to detect fire in the forest where some plants and trees are prone to fire very easily. The detection of forest fire preserves economic and environmental wealth of forest and defends human life.

**Category:** General Mathematics

[2785] **viXra:1808.0425 [pdf]**
*submitted on 2018-08-21 07:03:15*

**Authors:** Abdolreza Rashno, Student Member, Ieee, Dara D. Koozekanani, Member, Ieee, Paul M. Drayna, Behzad Nazari, Saeed Sadri, Hossein Rabbani

**Comments:** 13 Pages.

This paper presents a fully-automated algorithm to
segment fluid-associated (fluid-filled) and cyst regions in optical coherence tomography (OCT) retina images of subjects with diabetic macular edema (DME).

**Category:** General Mathematics

[2784] **viXra:1808.0423 [pdf]**
*submitted on 2018-08-21 07:05:54*

**Authors:** Tadeusz Pietkiewicz, Bronisław Wajszczyk

**Comments:** 13 Pages.

This paper presents a method of fusion of identification (attribute) information provided by ELINT – ESM sensors (Electronic Intelligence – Electronic Support Measures). In the first section the basic taxonomy of attribute identification in accordance with the standards of STANAG 1241 ed. 5 and STANAG 1241 ed. 6 (draft) is adopted. These standards provide the following basic values of the attributes of identification: FRIEND, HOSTILE, NEUTRAL, UNKNOWN and additional values: ASSUMED FRIEND and SUSPECT. The last values can be interpreted as a conjunction of basic values.

**Category:** General Mathematics

[2783] **viXra:1808.0421 [pdf]**
*submitted on 2018-08-21 07:09:16*

**Authors:** Aboul Ella HASSANIEN, Sameh H. BASHA, Areeg S. ABDALLA

**Comments:** 43 Pages.

This article presents a New Neutrosophic C-Means (NNCMs) method for clustering. It uses the neutrosophic logic (NL), to generalize the Fuzzy C-Means (FCM) clustering system. The NNCMs system assigns objects to clusters using three degrees of membership: a degree of truth, a degree of indeterminacy, and a degree of falsity, rather than only the truth degree used in the FCM.

**Category:** General Mathematics

[2782] **viXra:1808.0419 [pdf]**
*submitted on 2018-08-21 07:11:38*

**Authors:** Xin Li, Xiaohong Zhang, Choonkil Park

**Comments:** 17 Pages.

The interval neutrosophic set (INS) is a subclass of the neutrosophic set (NS) and a
generalization of the interval-valued intuitionistic fuzzy set (IVIFS), which can be used in real engineering and scientific applications.

**Category:** General Mathematics

[2781] **viXra:1808.0417 [pdf]**
*submitted on 2018-08-21 07:13:56*

**Authors:** Sameh H. Basha, Areeg S. Abdalla, Aboul Ella Hassanien

**Comments:** 6 Pages.

In this paper, we present a hybrid intelligent
system based on Neutrosophic Logic (NL). In conjunction with Genetic Algorithm(GA) for classification. The neutrosophic logic
is adapted for representing different forms of knowledge. GA is used to refine the generated neutrosophic rules.

**Category:** General Mathematics

[2780] **viXra:1808.0414 [pdf]**
*submitted on 2018-08-21 07:15:54*

**Authors:** Yongfeng Pang, Wei Yang

**Comments:** 20 Pages.

In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy information.

**Category:** General Mathematics

[2779] **viXra:1808.0412 [pdf]**
*submitted on 2018-08-21 07:17:05*

**Authors:** Dheeraj Kumar Joshi, Ismat Beg, Sanjay Kumar

**Comments:** 20 Pages.

Uncertainties due to randomness and fuzziness comprehensively exist in control and decision support systems. In the present study, we introduce notion of occurring probability of
possible values into hesitant fuzzy linguistic element (HFLE) and define hesitant probabilistic fuzzy linguistic set (HPFLS) for ill structured and complex decision making problem.

**Category:** General Mathematics

[2778] **viXra:1808.0411 [pdf]**
*submitted on 2018-08-21 07:17:59*

**Authors:** Wenhua Cui, Jun Ye

**Comments:** 12 Pages.

This work indicates the insufficiency of existing symmetry measures (SMs) between asymmetry measures of simplified neutrosophic sets (SNSs) and proposes the improved normalized SMs of SNSs, including the improved SMs and weighted SMs in single-valued and interval neutrosophic settings.

**Category:** General Mathematics

[2777] **viXra:1808.0410 [pdf]**
*submitted on 2018-08-21 07:18:46*

**Authors:** Mihaela-Gabriela Păun

**Comments:** 19 Pages.

The study is an application in the esthetic field of the neutrosophic theory of Florentin Smarandache.

**Category:** General Mathematics

[2776] **viXra:1808.0409 [pdf]**
*submitted on 2018-08-21 07:19:43*

**Authors:** Soumitra De, Jaydev Mishra

**Comments:** 5 Pages.

I have introduced a new approach for treatment of human disease using Neutrosophic logic and data. Any neutrosophic data is based on indeterminacy membership along with truth and false membership values which is not available in other fuzzy and vague data. I have focused to solve the real problem of a patient whether
suffering from blood cancer or not through the different laboratory report with neutrosophic data and applying same medicine on different patient.

**Category:** General Mathematics

[2775] **viXra:1808.0408 [pdf]**
*submitted on 2018-08-21 07:20:27*

**Authors:** Sergey Gorbachev

**Comments:** 9 Pages.

The article is devoted to description of structure and operation algorithms of a multilevel intellectual system for analysis and forecast of scientific-technological and innovative development of objects and territories based on expert methods, trainable models of fuzzy logic and fuzzy cognitive analysis. The article analyses distinctions and advantages of the system in making forecast evaluation and scenarios of the dynamics of multidimensional feature objects and processes. The authors have built a neutrosophic cognitive map for interaction of technologies based on the results of foresight studies.

**Category:** General Mathematics

[2774] **viXra:1808.0407 [pdf]**
*submitted on 2018-08-21 07:21:28*

**Authors:** Francisco Gallego Lupiáñez

**Comments:** 6 Pages.

In 2005, Smarandache generalized the Atanassov’s intuitionistic fuzzy sets (IFSs) to neutrosophic sets (NS), and other researchers introduced the notion of interval neutrosophic set (INSs),which is an instance of NS, and studied various properties. The notion of neutrosophic topology on the non-standard interval is also due to Smarandache. The purpose of this paper is to study relations between INSs and topology.

**Category:** General Mathematics

[2773] **viXra:1808.0406 [pdf]**
*submitted on 2018-08-21 07:23:06*

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

**Comments:** 8 Pages.

The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophic sets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to graph theory. We introduce certain types of interval valued neutrosophc graphs (IVNG) and investigate some of their properties with proofs and examples.

**Category:** General Mathematics

[2772] **viXra:1808.0405 [pdf]**
*submitted on 2018-08-21 07:24:18*

**Authors:** Cristhian Fabián MENÉNDEZ DELGADO, Pablo José MENÉNDEZ VERA, Nory Analidhia PINELA MORAN, Mba

**Comments:** 13 Pages.

En Ecuador, específicamente en el Cantón de Yaguachi, hay un enorme potencial en la
producción de arroz, que desafortunadamente no está siendo bien utilizada y dirigida por
estrategias de mercado. En este trabajo se desarrollaron estrategias de mercadeo que ayudan a sostener la actividad comercial del arroz en Yaguachi Cantón y sus alrededores. Las estrategias propuestas fueron analizadas y priorizadas usando SVN y distancia euclidiana para el tratamiento de las neutralidades. El trabajo termina con la conclusión y futura propuesta de trabajo para la aplicación de la neutrosofía a nuevas áreas de comercialización.

**Category:** General Mathematics

[2771] **viXra:1808.0403 [pdf]**
*submitted on 2018-08-21 07:33:25*

**Authors:** YumeiWang, Peide Liu

**Comments:** 35 Pages.

To solve the problems related to inhomogeneous connections among the attributes, we introduce a novel multiple attribute group decision-making (MAGDM) method based on the introduced linguistic neutrosophic generalized weighted partitioned Bonferroni mean operator (LNGWPBM) for linguistic neutrosophic numbers (LNNs).

**Category:** General Mathematics

[2770] **viXra:1808.0402 [pdf]**
*submitted on 2018-08-21 07:34:23*

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

**Comments:** 11 Pages.

We introduce the mapping on complex neutrosophic soft expert sets. Further, we investigated the basic operations and other related properties of complex neutrosophic soft expert image and complex neutrosophic soft expert inverse image of
complex neutrosophic soft expert sets.

**Category:** General Mathematics

[2769] **viXra:1808.0401 [pdf]**
*submitted on 2018-08-21 07:35:29*

**Authors:** Chao Zhang, Deyu Li, Said Broumi, Arun Kumar Sangaiah

**Comments:** 16 Pages.

In real-world diagnostic procedures, due to the limitation of human cognitive competence,
a medical expert may not conveniently use some crisp numbers to express the diagnostic information,and plenty of research has indicated that generalized fuzzy numbers play a significant role in describing complex diagnostic information.

**Category:** General Mathematics

[2768] **viXra:1808.0400 [pdf]**
*submitted on 2018-08-21 07:36:36*

**Authors:** Yan Yang, Junhua Hu, Ruixiao Sun, Xiaohong Chen

**Comments:** 41 Pages.

Medical tourism has developed rapidly worldwide, especially in Asia, and one of the most
important problems facing the patient-tourists is the selection of the optimum destination. In this
paper, we present a novel multiple criteria group decision making (MCGDM) methodology to
evaluate and rank the medical tourism destinations vague based on vague information.

**Category:** General Mathematics

[2767] **viXra:1808.0399 [pdf]**
*submitted on 2018-08-21 07:39:37*

**Authors:** Yanhui Guo

**Comments:** 17 Pages.

A medical imaging system includes an imaging device configured to scan a region of interest to acquire at least one of afirst image including a first plurality of pixels and a secondimage including a second plurality of pixels, a processing unit configured to receive the first and second images, calculate
respective first neutrosophic similarity scores for each of thefirst plurality of pixels of the first image, calculate respective second neutrosophic similarity scores for each of the second plurality of pixels of the second image, perform a template matching algorithm based on differences between the respective first and second neutrosophic similarity scores for each of the first and second plurality, respectively, to determine one or more registration parameters, and register the first and second images using the one or more registration parameters, and a display output configured to allow the registered first and
second images to be displayed.

**Category:** General Mathematics

[2766] **viXra:1808.0398 [pdf]**
*submitted on 2018-08-21 07:40:34*

**Authors:** M. Kaliraja, S. Rumenaka

**Comments:** 8 Pages.

In this paper, we have discussed the concept of M-N anti fuzzy normal soft group, we then dene the M-N anti level subsets of a normal fuzzy soft subgroup and its some elementary properties are also discussed.

**Category:** General Mathematics

[2765] **viXra:1808.0397 [pdf]**
*submitted on 2018-08-21 07:42:10*

**Authors:** JieWang, Guiwu Wei, YuWei

**Comments:** 36 Pages.

In this paper, we extend the Bonferroni mean (BM) operator, generalized Bonferroni
mean (GBM) operator, dual generalized Bonferroni mean (DGBM) operator and dual generalized geometric Bonferroni mean (DGGBM) operator with 2-tuple linguistic neutrosophic numbers (2TLNNs) to propose 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean
(2TLNNWBM) operator, 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (2TLNNWGBM) operator, generalized 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (G2TLNNWBM) operator, generalized 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (G2TL NNWGBM) operator, dual generalized 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (DG2TLNNWBM) operator, and dual generalized 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (DG2TLNNWGBM)
operator.

**Category:** General Mathematics

[2764] **viXra:1808.0395 [pdf]**
*submitted on 2018-08-21 07:45:00*

**Authors:** Harish Garg, Nancy

**Comments:** 25 Pages.

The aim of this paper is to introduce some new operators for aggregating single-valued
neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making
(MCDM) problems.

**Category:** General Mathematics

[2763] **viXra:1808.0394 [pdf]**
*submitted on 2018-08-21 07:45:52*

**Authors:** Peide Liu, Hui Gao

**Comments:** 25 Pages.

In multicriteria decision making (MCDM), multi-hesitant fuzzy linguistic term sets
(MHFLTSs) can eliminate the limitations of hesitant fuzzy linguistic term sets (HFLTSs) and hesitant fuzzy linguistic sets (HFLSs), and emphasize the importance of a repeated linguistic term (LT). Meanwhile, there is usually an interrelation between criteria.

**Category:** General Mathematics

[2762] **viXra:1808.0393 [pdf]**
*submitted on 2018-08-21 07:46:49*

**Authors:** Jian-QiangWang, Chu-Quan Tian, Xu Zhang, Hong-Yu Zhang, Tie-Li Wang

**Comments:** 23 Pages.

This study introduces simplified neutrosophic linguistic numbers (SNLNs) to describe
online consumer reviews in an appropriate manner. Considering the defects of studies on SNLNs
in handling linguistic information, the cloud model is used to convert linguistic terms in SNLNs
to three numerical characteristics.

**Category:** General Mathematics

[2761] **viXra:1808.0392 [pdf]**
*submitted on 2018-08-21 07:48:33*

**Authors:** Faruk Karaaslan

**Comments:** 21 Pages.

In this paper, we propose three similarity measure methods for single-valued neutrosophic refined sets and interval neutrosophic re¯ned sets based on Jaccard, Dice and Cosine similarity measures of single-valued neutrosophic sets and interval neutrosophic sets. Furthermore, we suggest two multi-criteria decision making methods under single-valued neutrosophic refined environment and
interval neutrosophic refined environment, and give applications of proposed multi-criteria decision making methods. Finally we suggest a consistency analysis method for proposed similarity measures between interval neutrosophic refined sets and give an application to demonstrate process of the method.

**Category:** General Mathematics

[2760] **viXra:1808.0391 [pdf]**
*submitted on 2018-08-21 07:49:42*

**Authors:** Angyan Tu, Jun Ye, Bing Wang

**Comments:** 11 Pages.

In inconsistent and indeterminate settings, as a usual tool, the neutrosophic cubic set
(NCS) containing single-valued neutrosophic numbers and interval neutrosophic numbers can be
applied in decision-making to present its partial indeterminate and partial determinate information.

**Category:** General Mathematics

[2759] **viXra:1808.0389 [pdf]**
*submitted on 2018-08-21 07:57:25*

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

**Comments:** 19 Pages.

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems. In this paper, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacy membership and falsity-membership degree have a set of crisp values between zero and one, espectively.

**Category:** General Mathematics

[2758] **viXra:1808.0388 [pdf]**
*submitted on 2018-08-21 07:58:41*

**Authors:** Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy

**Comments:** 20 Pages.

Neutrosophic cubic set is the hybridization of the concept of neutrosophic set and interval
10 neutrosophic set. Neutrosophic cubic set has the capacity to express the hybrid information of both 11 the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly 12 defined, little research on the operations and applications of neutrosophic cubic sets appear in the 13 current literature.

**Category:** General Mathematics

[2757] **viXra:1808.0387 [pdf]**
*submitted on 2018-08-21 08:00:58*

**Authors:** S. N. Bocharova

**Comments:** 8 Pages.

Сборник подготовлен на основе материалов, представленных на IV Международном экономическом форуме «Экономическое развитие региона:управление, инновации, подготовка кадров», организованного и проведенно-
го в ФГБОУ ВО «Алтайский государственный университет» 8 июня 2017 года (г. Барнаул) при поддержке ФГБУ «Российский фонд фундаментальных исследований», проект № 17‑02‑14081 «IV Международный экономический форум
«Экономическое развитие региона: управление, инновации, подготовка кадров».

**Category:** General Mathematics

[2756] **viXra:1808.0385 [pdf]**
*submitted on 2018-08-21 08:02:09*

**Authors:** R. Dhavaseelan, S. Jafari, R. Narmada Devi, Md. Hanif Page

**Comments:** 4 Pages.

In this paper, we introduce the concept of neutrosophic Baire space and present some of its characterizations.

**Category:** General Mathematics

[2755] **viXra:1808.0384 [pdf]**
*submitted on 2018-08-20 05:29:18*

**Authors:** Mohamed Abdel-Basset, M. Gunasekaran, Mai Mohamed, Florentin Smarandache

**Comments:** 11 Pages.

The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its simplicity and efficiency. However, in order to handle the impreciseness in the data, the neutrosophic set theory plays a vital role which makes a simulation of the decision-making process of humans by considering all aspects of decision (i.e.,agree, not sure and disagree).

**Category:** General Mathematics

[2754] **viXra:1808.0383 [pdf]**
*submitted on 2018-08-20 05:30:42*

**Authors:** Abduallah Gamal, Mahmoud Ismail, Florentin Smarandache

**Comments:** 23 Pages.

In this research, the main objectives are to study the Analytic Network Process (ANP) technique in neutrosophic environment, to develop a new method for formulating the problem of Multi-Criteria
Decision-Making (MCDM) in network structure, and to present a way of checking and calculating consistency consensus degree of decision makers.

**Category:** General Mathematics

[2753] **viXra:1808.0382 [pdf]**
*submitted on 2018-08-20 05:33:12*

**Authors:** Yanhui Guo, Amira S. Ashour, Florentin Smarandache

**Comments:** 19 Pages.

This paper proposes novel skin lesion detection based on neutrosophic clustering and adaptive region growing algorithms applied to dermoscopic images, called NCARG. First, the dermoscopic images are mapped into a neutrosophic set domain using the shearlet transform results for the images.

**Category:** General Mathematics

[2752] **viXra:1808.0370 [pdf]**
*submitted on 2018-08-21 01:43:04*

**Authors:** V. Vladareanu, S. B. Cononovici, M. Migdalovici, H. Wang, Y. Feng, F. Smarandache

**Comments:** 4 Pages.

The paper presents the position and load reference generation for a motor stand simulating a mechatronic chain, in this case a three degree of freedom robot leg. The task is accomplished using three PLC controlled motors in position as the robot joint actuators coupled with three controlled in torque, simulating the load at each simulation time-step. The paper briefly discusses the mathematical model and presents the visual interface used in the simulation, which is then to be further integrated into a virtual environment robot control application.

**Category:** General Mathematics

[2751] **viXra:1808.0369 [pdf]**
*submitted on 2018-08-21 01:44:39*

**Authors:** Abduallah Gamal, Mahmoud Ismail, Florentin Smarandache

**Comments:** 15 Pages.

In this paper, we present a hybrid model of Neutrosophic-MOORA for supplier selection problems. Making a suitable model for
supplier selection is an important issue to amelioration competitiveness and capability of the organization, factory, project etc. selecting of the best supplier selection is not decrease delays in any organizations but also maximum profit and saving of material costs.

**Category:** General Mathematics

[2750] **viXra:1808.0368 [pdf]**
*submitted on 2018-08-21 01:47:20*

**Authors:** Muhammad Gulistan, Naveed Yaqoob, Zunaira Rashid, Florentin Smarandache, Hafiz Abdul Wahab

**Comments:** 22 Pages.

Neutrosophic cubic sets are the more generalized tool by which one can handle imprecise information in a more effective way as compared to fuzzy sets and all other versions of fuzzy sets. Neutrosophic cubic sets have the more flexibility, precision and compatibility to the system as compared to previous existing fuzzy models. On the other hand the graphs represent a problem physically in the form of diagrams, matrices etc. which is very easy to understand and handle.

**Category:** General Mathematics

[2749] **viXra:1808.0363 [pdf]**
*submitted on 2018-08-21 01:57:25*

**Authors:** Surapati Pramanik, Partha Pratim Dey, Florentin Smarandache, Jun Ye

**Comments:** 25 Pages.

The bipolar neutrosophic set is an important extension of the bipolar fuzzy set. The bipolar
neutrosophic set is a hybridization of the bipolar fuzzy set and neutrosophic set. Every element of
a bipolar neutrosophic set consists of three independent positive membership functions and three independent negative membership functions.

**Category:** General Mathematics

[2748] **viXra:1808.0362 [pdf]**
*submitted on 2018-08-21 02:28:18*

**Authors:** Muhammad Akram, Nabeela Ishfaq, Sidra Sayed, Florentin Smarandache

**Comments:** 20 Pages.

Rough set theory and neutrosophic set theory are mathematical models to deal with
incomplete and vague information. These two theories can be combined into a framework for
modeling and processing incomplete information in information systems. Thus, the neutrosophic
rough set hybrid model gives more precision, flexibility and compatibility to the system as compared to the classic and fuzzy models. In this research study, we develop neutrosophic rough digraphs based on the neutrosophic rough hybrid model. Moreover, we discuss regular neutrosophic rough digraphs, and we solve decision-making problems by using our proposed hybrid model. Finally, we give a comparison analysis of two hybrid models, namely, neutrosophic rough digraphs and rough
neutrosophic digraphs.

**Category:** General Mathematics

[2747] **viXra:1808.0361 [pdf]**
*submitted on 2018-08-21 02:30:15*

**Authors:** Parimala Mani, Karthika Muthusamy, Saeid Jafari, Florentin Smarandache, Udhayakumar Ramalingam

**Comments:** 10 Pages.

The concept of interval neutrosophic sets has been studied and the introduction of a new kind of set in topological spaces called the interval valued neutrosophic support soft set has been suggested. We study some of its basic properties. The main purpose of this paper is to give the optimum solution to decision-making in real life problems the using interval valued neutrosophic support soft set.

**Category:** General Mathematics

[2746] **viXra:1808.0360 [pdf]**
*submitted on 2018-08-21 02:31:42*

**Authors:** Muhammad Akram, Shumaiza, Florentin Smarandache

**Comments:** 17 Pages.

Technique for the order of preference by similarity to ideal solution (TOPSIS) and elimination and choice translating reality (ELECTRE) are widely used methods to solve multi-criteria decision making problems. In this research article, we present bipolar neutrosophic TOPSIS method and bipolar
neutrosophic ELECTRE-I method to solve such problems. We use the revised closeness degree to rank the alternatives in our bipolar neutrosophic TOPSIS method. We describe bipolar neutrosophic TOPSIS method and bipolar neutrosophic ELECTRE-I method by flow charts. We solve numerical examples by proposed methods. We also give a comparison of these methods.

**Category:** General Mathematics

[2745] **viXra:1808.0353 [pdf]**
*submitted on 2018-08-21 02:50:48*

**Authors:** Mumtaz Ali, Luu Quoc Dat, Le Hoang Son, Florentin Smarandache

**Comments:** 16 Pages.

Neutrosophic set is a powerful general formal
framework which generalizes the concepts of classic set,fuzzy set, interval-valued fuzzy set, intuitionistic fuzzy set,etc. Recent studies have developed systems with complex fuzzy sets, for better designing and modeling real-life applications.

**Category:** General Mathematics

[2744] **viXra:1808.0352 [pdf]**
*submitted on 2018-08-21 02:52:00*

**Authors:** Young Bae Jun, Seon Jeong Kim, Florentin Smarandache

**Comments:** 13 Pages.

Intuitionistic fuzzy set, which is introduced by Atanassov, is a generalization of Zadeh’s
fuzzy sets,and consider both truth-membership and falsity-membership. Since the sum of degree
true, indeterminacy and false is one in intuitionistic fuzzy sets, incomplete information is handled in intuitionistic fuzzy sets.

**Category:** General Mathematics

[2743] **viXra:1808.0350 [pdf]**
*submitted on 2018-08-21 02:54:15*

**Authors:** Temitope Gbolahan Jaiyeola, Florentin Smarandache

**Comments:** 20 Pages.

A generalized group is an algebraic structure which has a deep physical background in the unified gauge theory and has direct relation with isotopies. Mathematicians and physicists have been trying to construct a suitable unified theory for twistor theory, isotopies theory, and so on. It was known that generalized groups are tools for constructions in unified geometric theory and electroweak theory.

**Category:** General Mathematics

[2742] **viXra:1808.0349 [pdf]**
*submitted on 2018-08-21 02:55:30*

**Authors:** Xiaohong Zhang, Xiaoying Wu, Florentin Smarandache, Minghao Hu

**Comments:** 18 Pages.

The new notion of a neutrosophic triplet group (NTG) is proposed by Florentin Smarandache; it is a new algebraic structure different from the classical group. The aim of this paper is to further expand this new concept and to study its application in related logic algebra
systems. Some new notions of left (right)-quasi neutrosophic triplet loops and left (right)-quasi neutrosophic triplet groups are introduced, and some properties are presented.

**Category:** General Mathematics

[2741] **viXra:1808.0348 [pdf]**
*submitted on 2018-08-21 02:56:37*

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

**Comments:** 11 Pages.

In this paper, an algorithm for searching the minimum spanning tree (MST) in a network having trapezoidal fuzzy neutrosophic edge weight is
presented. The network is an undirected neutrosophic weighted connected graph (UNWCG). The proposed algorithm is based on matrix approach to design the MST of UNWCG. A numerical example is provided to check the validity of the proposed algorithm. Next, a comparison example is made with Mullai’s algorithm in neutrosophic graphs.

**Category:** General Mathematics

[2740] **viXra:1808.0347 [pdf]**
*submitted on 2018-08-21 02:57:41*

**Authors:** Maikel Leyva-Vázquez, Rebeca Escobar-Jara, Florentin Smarandache

**Comments:** 9 Pages.

In this work, elements related to mental models elicitation and analysis are addressed through causal models. Issues related to the need to include indeterminacy in causal relationships through neutrophic cognitive maps are discussed. A proposal for static analysis in neutrosophic cognitive maps is presented. The following activities are included in the proposal: Calculate, measures of centrality, Classify nodes, De-neutrosification, and Ranking nodes. As future works, the incorporation of new metrics of centrality in neutrosophic cognitive maps is proposed. The inclusion of scenario analysis to the proposal is another area of future work.

**Category:** General Mathematics

[2739] **viXra:1808.0345 [pdf]**
*submitted on 2018-08-21 02:59:59*

**Authors:** Muhammad Akram, Sundas Shahzadi, Florentin Smarandache

**Comments:** 24 Pages.

Soft sets (SSs), neutrosophic sets (NSs), and rough sets (RSs) are different mathematical
models for handling uncertainties, but they are mutually related. In this research paper, we introduce the notions of soft rough neutrosophic sets (SRNSs) and neutrosophic soft rough sets (NSRSs) as hybrid models for soft computing. We describe a mathematical approach to handle decision-making problems in view of NSRSs. We also present an efficient algorithm of our proposed hybrid model to solve decision-making problems.

**Category:** General Mathematics

[2738] **viXra:1808.0342 [pdf]**
*submitted on 2018-08-21 03:09:25*

**Authors:** Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Florentin Smarandache, Tapan Kumar Roy

**Comments:** 26 Pages.

The objective of the paper is to introduce a new cross entropy measure in a neutrosophic
cubic set (NCS) environment, which we call NC-cross entropy measure. We prove its basic properties. We also propose weighted NC-cross entropy and investigate its basic properties. We develop a novel multi attribute decision-making (MADM) strategy based on a weighted NC-cross entropy measure. To show the feasibility and applicability of the proposed multi attribute decision-making strategy,we solve an illustrative example of the multi attribute decision-making problem.

**Category:** General Mathematics

[2737] **viXra:1808.0341 [pdf]**
*submitted on 2018-08-21 03:10:47*

**Authors:** Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache, Victor Chang

**Comments:** 19 Pages.

Big Data is a large-sized and complex dataset, which cannot be managed using traditional
data processing tools. Mining process of big data is the ability to extract valuable information from these large datasets. Association rule mining is a type of data mining process, which is indented to determine interesting associations between items and to establish a set of association rules whose support is greater than a specific threshold.

**Category:** General Mathematics

[2736] **viXra:1808.0340 [pdf]**
*submitted on 2018-08-21 03:12:09*

**Authors:** Xiaohong Zhang, Florentin Smarandache, Xingliang Liang

**Comments:** 16 Pages.

The notions of the neutrosophic triplet and neutrosophic duplet were introduced by
Florentin Smarandache. From the existing research results, the neutrosophic triplets and neutrosophic duplets are completely different from the classical algebra structures. In this paper, we further study neutrosophic duplet sets, neutrosophic duplet semi-groups, and cancellable neutrosophic triplet groups.
First, some new properties of neutrosophic duplet semi-groups are funded, and the following important result is proven: there is no finite neutrosophic duplet semi-group.

**Category:** General Mathematics

[2735] **viXra:1808.0339 [pdf]**
*submitted on 2018-08-21 03:13:39*

**Authors:** Ibrahim M. Hezam, Mohamed Abdel-Baset, Florentin Smarandache

**Comments:** 14 Pages.

In this chapter, the goal programming in neutrosophic environment is introduced. The degree of acceptance, indeterminacy and rejection of objectives is considered simultaneous. In the two proposed
models to solve Neutrosophic Goal Programming Problem (NGPP), our goal is to minimize the sum of the deviation in the model (I),
while in the model (II), the neutrosophic goal programming problem NGPP is transformed into the crisp programming model using truth
membership, indeterminacy membership, and falsity membership functions. Finally, the industrial design problem is given to illustrate the efficiency of the proposed models. The obtained results of Model
(I) and Model (II) are compared with other methods.

**Category:** General Mathematics

[2734] **viXra:1808.0338 [pdf]**
*submitted on 2018-08-21 03:14:57*

**Authors:** Songtao Shao, Xiaohong Zhang, Chunxin Bo, Florentin Smarandache

**Comments:** 19 Pages.

The notions of the neutrosophic hesitant fuzzy subalgebra and neutrosophic hesitant fuzzy
filter in pseudo-BCI algebras are introduced, and some properties and equivalent conditions are investigated. The relationships between neutrosophic hesitant fuzzy subalgebras (filters) and hesitant fuzzy subalgebras (filters) is discussed. Five kinds of special sets are constructed by a neutrosophic
hesitant fuzzy set, and the conditions for the two kinds of sets to be filters are given. Moreover, the conditions for two kinds of special neutrosophic hesitant fuzzy sets to be neutrosophic hesitant fuzzy filters are proved.

**Category:** General Mathematics

[2733] **viXra:1808.0337 [pdf]**
*submitted on 2018-08-21 03:16:12*

**Authors:** Muhammad Akram, Sidra Sayed, Florentin Smarandache

**Comments:** 14 Pages.

In this research study, we introduce the notion of single-valued neutrosophic incidence
graphs. We describe certain concepts, including bridges, cut vertex and blocks in single-valued
neutrosophic incidence graphs.We present some properties of single-valued neutrosophic incidence graphs. We discuss the edge-connectivity, vertex-connectivity and pair-connectivity in neutrosophic incidence graphs. We also deal with a mathematical model of the situation of illegal migration from Pakistan to Europe.

**Category:** General Mathematics

[2732] **viXra:1808.0336 [pdf]**
*submitted on 2018-08-21 03:17:44*

**Authors:** Mohamed Abdel-Baset, Mai Mohamed, Abdel-Nasser Hessian, Florentin Smarandache

**Comments:** 13 Pages.

In this chapter, we introduce the integer programming in neutrosophic environment, by considering coefficients of problem as a triangular neutrosophic numbers. The degrees of acceptance,indeterminacy and rejection of objectives are simultaneously considered.

**Category:** General Mathematics

[150] **viXra:1811.0295 [pdf]**
*replaced on 2018-11-20 01:28:44*

**Authors:** Toshiro Takami

**Comments:** 4 Pages.

Since ζ(3) could be represented by sin, cos and π, we report here. I spelled
In wolframAlpha,
sum_(n=1)^infty [sin((6n-4)*pi/3) -sin((6n-2)*pi/3) + sin(6n*pi/3)] / [sqrt(3)*n^3]
=1.2020569031595942853997381615114…...
be equivalent to
sum_(n=1)^infty [ -cos((6n-4)/3*pi) - cos((6n-2)/3*pi) + cos(6n/3*pi) ] / (2*(n^3))
= 1.2020569031595942853997381615114……

**Category:** General Mathematics

[149] **viXra:1811.0044 [pdf]**
*replaced on 2018-11-15 23:29:07*

**Authors:** Felix M Lev

**Comments:** 6 Pages.

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. In our previous publications we argue that the situation is the opposite: classical mathematics is only a special degenerate case of finite one in the formal limit when the characteristic of the ring or field in finite mathematics goes to infinity. In the present paper we give a simple and rigorous proof of this fundamental fact. In general, introducing infinity automatically implies transition to a degenerate theory because in this case all operations modulo a number are lost. So, even from the pure mathematical point of view, the the very notion of infinity cannot be fundamental, and theories involving
infinities can be only approximations to more general theories. We also prove that standard quantum theory based on classical mathematics is a special degenerate case of quantum theory based on finite mathematics. Motivation and implications are discussed.

**Category:** General Mathematics

[148] **viXra:1810.0465 [pdf]**
*replaced on 2018-10-30 07:49:09*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 8 Pages.

Riemann and others have used the Poisson summation formula to prove Riemann’s functional equation. The opposite is actually true, the Poisson summation formula provides a refutation of Riemann’s functional equation. It is the purpose of this paper to disprove Riemann’s functional equation using the Poisson summation formula.

**Category:** General Mathematics

[147] **viXra:1810.0423 [pdf]**
*replaced on 2018-11-18 18:21:29*

**Authors:** Toshiro Takami

**Comments:** 11 Pages.

I calculated ζ (3),ζ(5). ζ (7),ζ(9)……… ζ (23).
And the formula indicated.
For example, in ζ (3)
For example, in ζ (5)
And ultimately the following formula is required
n and m are positive integer.

**Category:** General Mathematics

[146] **viXra:1810.0423 [pdf]**
*replaced on 2018-11-17 21:32:12*

**Authors:** Toshiro Takami

**Comments:** 11 Pages.

I calculated ζ (3),ζ(5). ζ (7),ζ(9)……… ζ (23).
And the formula indicated.
For example, in ζ (3)
For example, in ζ (5)
And ultimately the following formula is required
n and m are positive integer.

**Category:** General Mathematics

[145] **viXra:1810.0408 [pdf]**
*replaced on 2018-11-17 09:34:46*

**Authors:** Zaid Laadjal

**Comments:** 10 Pages.

In this paper, we describe the solution approaches based on Homotopy Analysis Method for the follwing Nonlinear Mixed Volterra-Fredholm integro-differential equation of fractional order $$^{C}D^{\alpha }u(t)=\varphi (t)+\lambda \int_{0}^{t}\int_{0}^{T}k(x,s)F\left( u(s\right) )dxds,$$ $$u^{(i)}(0)=c_{i},i=0,...,n-1,$$ where $t\in \Omega =\left[ 0;T\right] ,\ k:\Omega \times \Omega \longrightarrow \mathbb{R},$ $\varphi :\Omega \longrightarrow \mathbb{R},$ are known functions,\ $F:C\left(\Omega, \mathbb{R}\right) \longrightarrow \mathbb{R}$ is nonlinear function, $c_{i} (i=0,...,n-1),$ and $\lambda $ are constants, $^{C}D^{\alpha }$ is the Caputo derivative of order $\alpha $ with $n-1<\alpha \leq n.$ In addition some examples are used to illustrate the accuracy and validity of this approach.

**Category:** General Mathematics

[144] **viXra:1810.0384 [pdf]**
*replaced on 2018-10-23 21:46:31*

**Authors:** Toshiro Takami

**Comments:** 7 Pages.

If the sum of the digits of the natural number is 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39......(Multiples of 3, Except 3)it is definitely not a prime number. Except 3.
And have a divisor of 3.

**Category:** General Mathematics

[143] **viXra:1810.0333 [pdf]**
*replaced on 2018-10-23 12:19:41*

**Authors:** Waldemar Zieliński

**Comments:** 5 Pages.

We will derive the formulas for the N-th element of the union of two arithmetic progressions with rational and real common differences.

**Category:** General Mathematics

[142] **viXra:1810.0333 [pdf]**
*replaced on 2018-10-22 14:34:26*

**Authors:** Waldemar Zieliński

**Comments:** 5 Pages.

We will derive the formulas for the N-th element of the union of two arithmetic progressions with rational and real common differences.

**Category:** General Mathematics

[141] **viXra:1810.0121 [pdf]**
*replaced on 2018-10-14 08:59:07*

**Authors:** Feng Zhang, Wendong Wang, Jianwen Huang, Jianjun Wang

**Comments:** 22 Pages.

The essential task of multi-dimensional data analysis focuses on the tensor decomposition and the corresponding notion of rank. However, most tensor ranks are not well defined with a tight convex relaxation. In this paper, by introducing the notion of tensor singular value decomposition (t-SVD), we establish a regularized tensor nuclear norm minimization (RTNNM) model for low tubal rank tensor recovery. In addition, the tensor nuclear norm within the unit ball of the tensor spectral norm here has been shown to be a convex envelop of tensor average rank. On the other hand, many variants of the restricted isometry property (RIP) have proven to be crucial frameworks and analysis tools for recovery of sparse vectors and low-rank tensors. So, we initiatively define a novel tensor restrict isometry property (t-RIP) based on t-SVD. Besides, our theoretical results show that any third-order tensor X∈R^{n_{1}× n_{2}× n_{3}} whose tubal rank is at most r can stably be recovered from its as few as measurements y = M(X)+w with a bounded noise constraint ||w||_{2}≤ε via the RTNNM model, if the linear map M obeys t-RIP with δ_{tr}^{M}<√（t-1）/(n_{3}^{2}+t-1) for certain fixed t>1. Surprisingly, when n_{3}=1, our conditions coincide with T. Cai and A. Zhang's sharp work in 2013 for low-rank matrix recovery via the constrained nuclear norm minimization. We note that, as far as the authors are aware, such kind of result has not previously been reported in the literature.

**Category:** General Mathematics

[140] **viXra:1809.0452 [pdf]**
*replaced on 2018-09-21 08:28:21*

**Authors:** Colin James III

**Comments:** 2 Pages. © Copyright 2018 by Colin James III All rights reserved. Respond to the author by email at: info@ersatz-systems dot com.

The Smarandache multi-space theory (SMT) as based on a Latin square is a vector space (probabilistic) and not bivalent (exact). Therefore SMT is refuted in classical logic.

**Category:** General Mathematics

[139] **viXra:1808.0684 [pdf]**
*replaced on 2018-10-26 22:40:20*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 4 Pages.

The Riemann zeta-function is one of the most studied complex function in mathematics. Riemann in his 1859 paper On the Number of Prime Numbers less than a Given Quantity [1] claimed that the analytic continuation of the zeta-function extends its domain over the entire complex plane except at
s = 1. But, as I’ve shown in my two papers: A Short Disproof of the Riemann Hypothesis [2] and Riemann’s Functional Equation is Not Valid and Its Implication on the Riemann Hypothesis [3], the zeta-function is only defined on the right half-plane. It is the purpose of this present work to precisely locate the domain of this function on the right half-plane.

**Category:** General Mathematics

[138] **viXra:1808.0684 [pdf]**
*replaced on 2018-09-01 16:01:06*

**Authors:** Armando M. Evangelista Jr.

**Comments:** I’ve made a mistake on the starting value for k in the double sum on pages 2 and 3, it should start at k =1.

The Riemann zeta-function is one of the most studied complex function in mathematics. Riemann in his 1859 paper On the Number of Prime Numbers less than a Given Quantity [1] claimed that the analytic continuation of the zeta-function extends its domain over the entire complex plane except at s = 1. But, as I’ve shown in my two papers: A Short Disproof of the Riemann Hypothesis [2] and Riemann’s Functional Equation is Not a Valid Function and Its Implication on the Riemann Hypothesis [3], the zeta-function is only defined on the right half-plane. It is the purpose of this present work to precisely locate the domain of this function on the right half-plane.

**Category:** General Mathematics

[137] **viXra:1808.0624 [pdf]**
*replaced on 2018-11-13 17:31:31*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 10 Pages.

Riemann’s functional equation was formulated by Riemann that supposedly extended the domain of the Riemann zeta function from the right half-plane into the entire complex plane except at s = 1. It also led him to obtained a real function that contains zeros for some s. Now, the real function was also related to the zeta function which in turn has something to do with the distribution of prime numbers. This led him to obtained a formula for relating the zeros of the zeta function to the number of primes given a certain number. Riemann then conjectured that all the zeros of the zeta function are at s = 1⁄2 + i, which is now known as the Riemann Hypothesis. Hence Riemann’s functional equation is the foundation upon which the Riemann Hypothesis is based. But the functional equation, as shall be shown here, is not valid such that the Riemann Hypothesis crumbles on its claim.

**Category:** General Mathematics

[136] **viXra:1808.0624 [pdf]**
*replaced on 2018-10-26 06:33:56*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 10 Pages. The prvious

Riemann’s functional equation was formulated by Riemann that supposedly extended the domain of the Riemann zeta function from the right half-plane into the entire complex plane except at s = 1. It also led him to obtained a real function that contains zeros for some s. Now, the real function was also related to the zeta function which in turn has something to do with the distribution of prime numbers. This led him to obtained a formula for relating the zeros of the zeta function to the number of primes given a certain number. Riemann then conjectured that all the zeros of the zeta function are at s = ½ + ωi, which is now known as the Riemann Hypothesis. Hence Riemann’s functional equation is the foundation upon which the Riemann Hypothesis is based. But the functional equation, as shall be shown here, is not valid such that the Riemann Hypothesis crumbles on its claim.

**Category:** General Mathematics