General Mathematics

1705 Submissions

[38] viXra:1705.0309 [pdf] replaced on 2017-05-23 15:24:32

Simplified Mathematical Method to Compare the Ordinary R&D Teams and Single Experts

Authors: Roman Vinokur
Comments: 4 Pages. Replaced.

The human factor is very important if the high-level R&D skills are needed (“Intellectuals solve problems, geniuses prevent them.” - Albert Einstein). Many people believe more in the power of teamwork than in “myths” of the lone genius. However, if a project goal can be successfully achieved just by one high-skilled professional, it is not wise to delegate this duty to a group of low-skilled persons (“A great engineer is worth 100 average engineers.” - Facebook CEO Mark Zuckerberg. Generally, the dilemma “ordinary team or single expert” is of frequent interest for R&D organizations. In this paper, an approximate mathematical approach has been developed to estimate the critical (minimum) size of an ordinary R&D team that can be more successful than a single expert. As a result, this method could help to resolve the “hire or not hire” issue.
Category: General Mathematics

[37] viXra:1705.0088 [pdf] submitted on 2017-05-04 00:59:50

A New Similarity Measure Based on Falsity Value Between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Numbers with Applications to Pattern Recognition

Authors: Memet Sahin, Necati Olgun, Vakkas Uluçay, Abdullah Kargın, Florentin Smarandache
Comments: 18 Pages.

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

[36] viXra:1705.0086 [pdf] submitted on 2017-05-04 01:02:46

Bipolar Neutrosophic Projection Based Models for Solving Multi-attribute Decision Making Problems

Authors: Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri, Florentin Smarandache
Comments: 10 Pages.

Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modelling real life decision making problems. In the paper, we define projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets.
Category: General Mathematics

[35] viXra:1705.0084 [pdf] submitted on 2017-05-04 01:05:13

GRA for Multi Attribute Decision Making in Neutrosophic Cubic Set Environment

Authors: Durga Banerjee, Bibhas C. Giri, Surapati Pramanik, Florentin Smarandache
Comments: 10 Pages.

In this paper, multi attribute decision making problem based on grey relational analysis in neutrosophic cubic set environment is investigated. In the decision making situation, the attribute weights are considered as single valued neutrosophic sets. The neutrosophic weights are converted into crisp weights. Both positve and negative GRA coefficients, and weighted GRA coefficients are determined.
Category: General Mathematics

[34] viXra:1705.0083 [pdf] submitted on 2017-05-04 01:06:12

Introducing a Theory of Neutrosophic Evolution: Degrees of Evolution, Indeterminacy, and Involution

Authors: Florentin Smarandache
Comments: 6 Pages.

During the process of adaptation of a being (plant, animal, or human), to a new environment or conditions, the being partially evolves, partially devolves (degenerates), and partially is indeterminate i.e. neither evolving nor devolving, therefore unchanged (neutral), or the change is unclear, ambiguous, vague, as in neutrosophic logic.
Category: General Mathematics

[33] viXra:1705.0082 [pdf] submitted on 2017-05-04 01:07:43

Isomorphism of Bipolar Single Valued Neutrosophic Hypergraphs

Authors: Muhammad Aslam Malik, Ali Hassan, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache
Comments: 24 Pages.

In this paper, we introduce the homomorphism, the weak isomorphism, the co-weak isomorphism, and the isomorphism of the bipolar single valued neutrosophic hypergraphs. The properties of order, size and degree of vertices are discussed. The equivalence relation of the isomorphism of the bipolar single valued neutrosophic hypergraphs and the weak isomorphism of bipolar single valued neutrosophic hypergraphs, together with their partial order relation, is also verified.
Category: General Mathematics

[32] viXra:1705.0081 [pdf] submitted on 2017-05-04 01:08:50

Isomorphism of Interval Valued Neutrosophic Hypergraphs

Authors: Muhammad Aslam Malik, Ali Hassan, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache
Comments: 26 Pages.

In this paper, we introduce the homomorphism, weak isomorphism, co-weak isomorphism and isomorphism of interval valued neutrosophic hypergraphs. The properties of order, size and degree of vertices, along with isomorphism, are included. The isomorphism of interval valued neutrosophic hypergraphs equivalence relation and weak isomorphism of interval valued neutrosophic hypergraphs partial order relation are also verified.
Category: General Mathematics

[31] viXra:1705.0080 [pdf] submitted on 2017-05-04 01:10:24

Isomorphism of Single Valued Neutrosophic Hypergraphs

Authors: Muhammad Aslam Malik, Ali Hassan, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache
Comments: 22 Pages.

In this paper, we introduce the homomorphism, weak isomorphism, co-weak isomorphism, and isomorphism of single valued neutrosophic hypergraphs. The properties of order, size and degree of vertices, along with isomorphism, are included. The isomorphism of single valued neutrosophic hypergraphs equivalence relation and of weak isomorphism of single valued neutrosophic hypergraphs partial order relation is also verified.
Category: General Mathematics

[30] viXra:1705.0079 [pdf] submitted on 2017-05-04 01:11:52

Modified Collatz Conjecture or (3a + 1) + (3b + 1)i Conjecture for Neutrosophic Numbers

Authors: W.B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache
Comments: 3 Pages.

The Collatz conjecture was proposed by Lothar Collatz in 1937. Till date this conjecture remains open.
Category: General Mathematics

[29] viXra:1705.0078 [pdf] submitted on 2017-05-04 01:13:10

Multi-attribute Decision Making based on Rough Neutrosophic Variational Coefficient Similarity Measure

Authors: Kalyan Mondal, Surapati Pramanik, Florentin Smarandache
Comments: 15 Pages.

The purpose of this study is to propose new similarity measures namely rough variational coefficient similarity measure under the rough neutrosophic environment. The weighted rough variational coefficient similarity measure has been also defined.
Category: General Mathematics

[28] viXra:1705.0077 [pdf] submitted on 2017-05-04 01:14:19

Multiple Criteria Evaluation Model Based on the Single Valued Neutrosophic Set

Authors: Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Darjan Karabasevic
Comments: 4 Pages.

Gathering the attitudes of the examined respondents would be very significant in some evaluation models. Therefore, a multiple criteria approach based on the use of the neutrosophic set is considered in this paper.
Category: General Mathematics

[27] viXra:1705.0076 [pdf] submitted on 2017-05-04 01:15:33

Neutrosophic Integer Programming Problem

Authors: Mai Mohamed, Mohamed Abdel-Basset, Abdel Nasser H Zaied, Florentin Smarandache
Comments: 5 Pages.

In this paper, we introduce the integer programming in neutrosophic environment, by considering coffecients of problem as a triangulare neutrosophic numbers. The degrees of acceptance, indeterminacy and rejection of objectives are simultaneously considered.
Category: General Mathematics

[26] viXra:1705.0072 [pdf] submitted on 2017-05-04 01:21:37

Regular and Totally Regular Interval Valued Neutrosophic Hypergraphs

Authors: Ali Hassan, Muhammad Aslam Malik, Florentin Smarandache
Comments: 14 Pages.

In this paper, we define the regular and the totally regular interval valued neutrosophic hypergraphs, and discuss the order and size along with properties of the regular and the totally regular single valued neutrosophic hypergraphs. We extend work to completeness of interval valued neutrosophic hypergraphs.
Category: General Mathematics

[25] viXra:1705.0071 [pdf] submitted on 2017-05-04 01:23:01

Regular Bipolar Single Valued Neutrosophic Hypergraphs

Authors: Muhammad Aslam Malik, Ali Hassan, Said Broumi, F. Smarandache
Comments: 6 Pages.

In this paper, we define the regular and totally regular bipolar single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular bipolar single valued neutrosophic hypergraphs. We extend work on completeness of bipolar single valued neutrosophic hypergraphs.
Category: General Mathematics

[24] viXra:1705.0070 [pdf] submitted on 2017-05-04 01:24:41

Regular Single Valued Neutrosophic Hypergraphs

Authors: Muhammad Aslam Malik, Ali Hassan, Said Broumi, Florentin Smarandache
Comments: 6 Pages.

In this paper, we define the regular and totally regular single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular single valued neutrosophic hypergraphs. We also extend work on completeness of single valued neutrosophic hypergraphs.
Category: General Mathematics

[23] viXra:1705.0069 [pdf] submitted on 2017-05-04 01:25:54

Rough Neutrosophic Hyper-complex Set and its Application to Multiattribute Decision Making

Authors: Kalyan Mondal, Surapati Pramanik, Florentin Smarandache
Comments: 16 Pages.

This paper presents multi-attribute decision making based on rough neutrosophic hyper-complex sets with rough neutrosophic hyper-complex attribute values. The concept of neutrosophic hyper-complex set is a powerful mathematical tool to deal with incomplete, indeterminate and inconsistent information. We extend the concept of neutrosophic hyper-complex set to rough neutrosophic hyper-complex environ-ment. The ratings of all alternatives are expressed in terms of the upper / lower approximations and pairs of neutrosophic hyper-complex sets, which are characterized by two hyper-complex functions and an indeterminacy component.
Category: General Mathematics

[22] viXra:1705.0068 [pdf] submitted on 2017-05-04 01:27:01

Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making

Authors: Kalyan Mondal, Surapati Pramanik, Florentin Smarandache
Comments: 13 Pages.

This paper is devoted to present Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method for multi-attribute group decision making under rough neutrosophic environment. The concept of rough neutrosophic set is a powerful mathematical tool to deal with uncertainty, indeterminacy and inconsistency.
Category: General Mathematics

[21] viXra:1705.0062 [pdf] submitted on 2017-05-04 01:33:21

Subtraction and Division of Neutrosophic Numbers

Authors: Florentin Smarandache
Comments: 8 Pages.

In this paper, we define the subtraction and the division of neutrosophic single-valued numbers. The restrictions for these operations are presented for neutrosophic singlevalued numbers and neutrosophic single-valued overnumbers / undernumbers / offnumbers. Afterwards, several numeral examples are presented.
Category: General Mathematics

[20] viXra:1705.0059 [pdf] submitted on 2017-05-04 01:43:17

Integrated Framework of Optimization Technique and Information Theory Measures for Modeling Neutrosophic Variables

Authors: Mona Gamal Gafar, Ibrahim El-Henawy
Comments: 10 Pages.

Uncertainty and indeterminacy are two major problems in data analysis these days. Neutrosophy is a generalization of the fuzzy theory. Neutrosophic system is based on indeterminism and falsity of concepts in addition to truth degrees.
Category: General Mathematics

[19] viXra:1705.0058 [pdf] submitted on 2017-05-04 01:44:57

Interval-Valued Possibility Quadripartitioned Single Valued Neutrosophic Soft Sets and Some Uncertainty Based Measures on Them

Authors: Rajashi Chatterjee, Pinaki Majumdar, Syamal Kumar Samanta
Comments: 9 Pages.

The theory of quadripartitioned single valued neutrosophic sets was proposed very recently as an extension to the existing theory of single valued neutrosophic sets.
Category: General Mathematics

[18] viXra:1705.0057 [pdf] submitted on 2017-05-04 01:46:22

Introduction to Neutrosophic Soft Groups

Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Comments: 10 Pages.

The notion of neutrosophic soft group is introduced, together with several related properties. Its structural characteristics are investigated with suitable examples.
Category: General Mathematics

[17] viXra:1705.0056 [pdf] submitted on 2017-05-04 01:48:04

Irregular Neutrosophic Graphs

Authors: Nasir Shah, Said Broumi
Comments: 9 Pages.

The concepts of neighbourly irregular neutrosophic graphs, neighbourly totally irregular neutrosophic graphs, highly irregular neutrosophic graphs and highly totally irregular neutrosophic graphs are introduced. A criteria for neighbourly irregular and highly irregular neutrosophic graphs to be equivalent is discussed.
Category: General Mathematics

[16] viXra:1705.0055 [pdf] submitted on 2017-05-04 01:50:31

Marketing Skills as Determinants that Underpin the Competitiveness of the Rice Industry in Yaguachi Canton. Application of SVN Numbers to the Prioritization of Strategies

Authors: Pablo José Menéndez Vera, Cristhian Fabián Menéndez Delgado, Miriam Peña Gónzalez, Maikel Leyva Vázquez
Comments: 9 Pages.

In Ecuador, specifically in the Yaguachi Canton, there is an enormous potential in the rice production, which unfortunately is not being well used and driven by marketing strategies. In this work, marketing strategies were developed that help to sustain the commercial activity of rice in Yaguachi Canton and its surroundings.
Category: General Mathematics

[15] viXra:1705.0054 [pdf] submitted on 2017-05-04 01:51:47

Multi-Criteria Assignment Techniques in MultiDimensional Neutrosophic Soft Set Theory

Authors: Tanushree Mitra Basu, Shyamal Kumar Mondal
Comments: 11 Pages.

In this paper, we have introduced a new concept of multi-dimensional neutrosophic soft sets together with various operations, properties and theorems on them.
Category: General Mathematics

[14] viXra:1705.0053 [pdf] submitted on 2017-05-04 01:53:03

Multi-Objective Structural Design Optimization using Neutrosophic Goal Programming Technique

Authors: Mridula Sarkar, Samir Dey, Tapan Kumar Roy
Comments: 10 Pages.

This paper develops a multi-objective Neutrosophic Goal Optimization (NSGO) technique for optimizing the design of three bar truss structure with multiple objectives subject to a specified set of constraints. In this optimum design formulation, the objective functions are weight and deflection; the design variables are the cross-sections of the bar; the constraints are the stress in member.
Category: General Mathematics

[13] viXra:1705.0052 [pdf] submitted on 2017-05-04 01:54:28

NeutrosophiccrispSetsviaNeutrosophiccrispTopologicalSpaces NCTS

Authors: Wadei Al-Omeri
Comments: 9 Pages.

In this paper, the structure of some classes of neutrosophic crisp nearly open sets are investigated via topology, and some applications are given. Finally, we generalize the crisp topological and neutrosophic crisp studies to the notion of neutrosophic crisp set.
Category: General Mathematics

[12] viXra:1705.0051 [pdf] submitted on 2017-05-04 02:05:20

Neutrosophic Cubic Subalgebras and Neutrosophic Cubic Closed Ideals of B-algebras

Authors: Rakib Iqbal, Sohail Zafar, Muhammad Shoaib Sardar
Comments: 14 Pages.

The objective of this paper is to introduced the concept of neutrosophic cubic set to subalgebras, ideals and closed ideals of B-algebra. Links among neutrosophic cubic subalgebra with neutrosophic cubic ideals and neutrosophic closed ideals of B-algebras as well as some related properties will be investigated.
Category: General Mathematics

[11] viXra:1705.0049 [pdf] submitted on 2017-05-04 02:07:35

Neutrosophic Graphs of Finite Groups

Authors: T.Chalapathi, R. V M S S Kiran Kumar
Comments: 9 Pages.

Most of the real world problems in the fields of philosophy, physics, statistics, finance, robotics, design theory, coding theory, knot theory, engineering, and information science contain subtle uncertainty and inconsistent, which causes complexity and difficulty in solving these problems.
Category: General Mathematics

[10] viXra:1705.0048 [pdf] submitted on 2017-05-04 02:09:32

Neutrosophic Topology

Authors: Serkan Karatas, Cemil Kuru
Comments: 6 Pages.

In this paper, we redefine the neutrosophic set operations and, by using them, we introduce neutrosophic topology and investigate some related properties such as neutrosophic closure, neutrosophic interior, neutrosophic exterior, neutrosophic boundary and neutrosophic subspace.
Category: General Mathematics

[9] viXra:1705.0047 [pdf] submitted on 2017-05-04 02:10:33

On Single-Valued Neutrosophic Entropy of order α

Authors: Harish Garg, Nancy
Comments: 8 Pages.

Entropy is one of the measures which is used for measuring the fuzziness of the set. In this article, we have presented an entropy measure of order α under the single-valued neutrosophic set environment by considering the pair of their membership functions as well as the hesitation degree between them
Category: General Mathematics

[8] viXra:1705.0046 [pdf] submitted on 2017-05-04 02:11:38

Optimal Design of Truss Structures Using a Neutrosophic Number Optimization Model under an Indeterminate Environment

Authors: Wenzhong Jiang, Jun Ye
Comments: 5 Pages.

This paper defines basic operations of neutrosophic numbers and neutrosophic number functions for objective functions and constraints in optimization models. Then, we propose a general neutrosophic number optimization model for the optimal design of truss structures.
Category: General Mathematics

[7] viXra:1705.0045 [pdf] submitted on 2017-05-04 02:13:04

Real Life Decision Optimization Model

Authors: Naga Raju I, Rajeswara Reddy P, Diwakar Reddy V, Krishnaiah G.
Comments: 9 Pages.

In real life scientific and engineering problems decision making is common practice. Decision making include single decision maker or group of decision makers. Decision maker’s expressions consists imprecise, inconsistent and indeterminate information.
Category: General Mathematics

[6] viXra:1705.0044 [pdf] submitted on 2017-05-04 02:14:35

Static Analysis in Neutrosophic Cognitive Maps

Authors: Pablo José Menéndez Vera, Cristhian Fabián Menéndez Delgado, Susana Paola Carrillo Vera, Milton Villegas Alava, Miriam Peña Gónzales
Comments: 4 Pages.

Static analysis is developed in neutrosophic cognitive maps to define the importance of each node based on centrality measures. In this paper a framework static analysis of neutrosophic cognitive maps is presented.
Category: General Mathematics

[5] viXra:1705.0043 [pdf] submitted on 2017-05-04 02:16:06

The Category of Neutrosophic Sets

Authors: Kul Hur, Pyung Ki Lim, Jeong Gon Lee, Junhui Kim
Comments: 9 Pages.

We introduce the category NSet(H) consisting of neutrosophic H-sets and morphisms between them. And we study NSet(H) in the sense of a topological universe and prove that it is Cartesian closed over Set, where Set denotes the category con sisting of ordinary sets and ordinary mappings between them. Furthermore, we investigate some relationships between two categories ISet(H) and NSet(H).
Category: General Mathematics

[4] viXra:1705.0042 [pdf] submitted on 2017-05-04 02:17:47

Topological Manifold Space via Neutrosophic Crisp Set Theory

Authors: A.A. Salama, Hewayda, ElGhawalby, Shimaa Fathi Ali
Comments: 4 Pages.

In this paper, we introduce and study a neutrosophic crisp manifold as a new topological structure of manifold via neutrosophic crisp set. Therefore, we study some new topological concepts and some metric distances on a neutrosophic crisp manifold.
Category: General Mathematics

[3] viXra:1705.0041 [pdf] submitted on 2017-05-04 02:19:06

Triangular Dense Fuzzy Neutrosophic Sets

Authors: Sujit Kumar De, Ismat Beg
Comments: 14 Pages.

In this study, we introduce the concept of denser property in fuzzy membership function used in neutrosophic sets. We present several new definitions and study their properties.
Category: General Mathematics

[2] viXra:1705.0040 [pdf] submitted on 2017-05-04 02:20:20

Truss Design Optimization using Neutrosophic Optimization Technique

Authors: Mridula Sarkar, Samir Dey, Tapan Kumar Roy
Comments: 8 Pages.

In this paper, we develop a neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with single objective subject to a specified set of constraints. In this optimum design formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the crosssections of the truss members; the constraints are the stresses in members.
Category: General Mathematics

[1] viXra:1705.0032 [pdf] submitted on 2017-05-02 13:21:02

A Residual Power Series Technique for Solving Systems of Initial Value Problems

Authors: Omar Abu Arqub; Shaher Momani; Ma'mon Abu Hammad; Ahmed Alsaedi
Comments: 13 Pages.

In this article, a residual power series technique for the power series solution of systems of initial value problems is introduced. The new approach provides the solution in the form of a rapidly convergent series with easily computable components using symbolic computation software. The proposed technique obtains Taylor expansion of the solution of a system and reproduces the exact solution when the solution is polynomial. Numerical examples are included to demonstrate the efficiency, accuracy, and applicability of the presented technique. The results reveal that the technique is very effective, straightforward, and simple.
Category: General Mathematics