General Mathematics

1804 Submissions

[37] viXra:1804.0449 [pdf] submitted on 2018-04-28 09:07:14

(α,β,γ)-Equalities of Single Valued Neutrosophic Sets

Authors: Songsong Dai
Comments: 5 Pages.

The single valued neutrosophic set (SVNS) is a subclass of neutrosophic set,which can describe and handle indeterminate information and inconsistent information. Since a SVNS is characterized independently by three functions: a truth-membership function, an indeterminacy-membership function, and a falsity-membership function.
Category: General Mathematics

[36] viXra:1804.0448 [pdf] submitted on 2018-04-28 09:09:13

A Novel Approach to Nano Topology Via Neutrosophic Sets

Authors: M. Lellis Thivagar, Saeid Jafari, V. Sutha Devi, V. Antonysamy
Comments: 9 Pages.

The main objective of this study is to introduce a new hybrid intelligent structure called Neutrosophic nano topology. Fuzzy nano topology and intuitionistic nano topology can also be deduced from the neutrosophic nano topology. Based on the neutrosophic nano approximations we have classified neutrosophic nano topology. Some properties like neutrosophic nano interior and neutrosophic nano closure are derived.
Category: General Mathematics

[35] viXra:1804.0447 [pdf] submitted on 2018-04-28 09:10:34

Bézier Surface Modeling for Neutrosophic Data Problems

Authors: Selçuk Topal, Ferhat Taş
Comments: 5 Pages.

The main goal of this paper is to construct Bézier surface modeling for neutrosophic data problems. We show how to build the surface model over a data sample from agriculture science after the theoretical structure of the modeling is introduced. As a sampler application for agriculture systems, we give a visualization of Bézier surface model of an estimation of a given yield of bean seeds grown in a field over a period.
Category: General Mathematics

[34] viXra:1804.0446 [pdf] submitted on 2018-04-28 09:12:12

Commutative Falling Neutrosophic Ideals in BCK-Algebras

Authors: Young Bae Jun, Florentin Smarandache, Mehmat Ali Ozturk
Comments: 10 Pages.

The notions of a commutative (∈, ∈)-neutrosophic ideal and a commutative falling neutrosophic ideal are introduced, and several properties are investigated.
Category: General Mathematics

[33] viXra:1804.0445 [pdf] submitted on 2018-04-28 09:13:45

Contributions of Selected Indian Researchers to Multi Attribute Decision Making in Neutrosophic Environment: An Overview

Authors: Surapati Pramanik, Rama Mallick, Anindita Dasgupta
Comments: 22 Pages.

Multi-attribute decision making (MADM) is a mathematical tool to solve decision problems involving conflicting attributes. With the increasing complexity, uncertainty of objective things and the neutrosophic nature of human thought, more and more attention has been paid to the investigation on multi attribute decision making in neutrosophic environment, and convincing research results have been reported in the literature.
Category: General Mathematics

[32] viXra:1804.0444 [pdf] submitted on 2018-04-28 09:15:12

Correlation Coefficient Measures of Interval Bipolar Neutrosophic Sets for Solving Multi-Attribute Decision Making Problems

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

Interval bipolar neutrosophic set is a significant extension of interval neutrosophic set where every element of the set comprises of three independent positive membership functions and three independent negative membership functions.
Category: General Mathematics

[31] viXra:1804.0443 [pdf] submitted on 2018-04-28 09:16:49

Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers

Authors: Pranab Biswas, Surapati Pramanik, Bibhas Chandra Giri
Comments: 7 Pages.

In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophic numbers. Then we consider a multiple attribute decision making (MADM) problem with interval trapezoidal neutrosophic numbers.
Category: General Mathematics

[30] viXra:1804.0442 [pdf] submitted on 2018-04-28 09:18:09

Entropy Based Single Valued Neutrosophic Digraph and Its Applications

Authors: Kalyan Sinha, Pinaki Majumdar
Comments: 8 Pages.

This paper introduces the single valued neutrosophic (i.e. SVN) digraph. The basic terminologies and operations of SVN digraphs have been defined. Later certain types of SVN digraphs are shown and some of the important properties of SVN digraphs are investigated. Finally SVN digraphs are applied in solving a multicriterion decision making problems.
Category: General Mathematics

[29] viXra:1804.0441 [pdf] submitted on 2018-04-28 09:19:26

Further Results on (∈,∈)-Neutrosophic Subalgebras and Ideals in Bck/bci-Algebras

Authors: G. Muhiuddin, Hashem Bordbar, Florentin Smarandache, Young Bae Jun
Comments: 8 Pages.

Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈,∈)-neutrosophic ideal.
Category: General Mathematics

[28] viXra:1804.0439 [pdf] submitted on 2018-04-28 09:21:28

Generalizations of Neutrosophic Subalgebras in BCK/BCI-Algebras Based on Neutrosophic Points

Authors: Seon Jeong Kim, Seok-Zun Song, Young Bae Jun
Comments: 10 Pages.

Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK/BCI-algebras by using the notion of neutrosophic points.
Category: General Mathematics

[27] viXra:1804.0438 [pdf] submitted on 2018-04-28 09:23:58

Hybrid Binary Logarithm Similarity Measure for MAGDM Problems under SVNS Assessments

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 14 Pages.

Single valued neutrosophic set is an important mathematical tool for tackling uncertainty in scientific and engineering problems because it can handle situation involving indeterminacy.
Category: General Mathematics

[26] viXra:1804.0437 [pdf] submitted on 2018-04-28 09:24:53

Interval Neutrosophic Tangent Similarity Measure Based Madm Strategy and Its Application to Madm Problems

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 10 Pages.

In this paper, tangent similarity measure of interval valued neutrosophic sets is proposed and its properties are examined. The concept of interval valued neutrosophic set is a powerful mathematical tool to deal with incomplete, indeterminate and inconsistent information. The concept of this tangent similarity measure is based on interval valued neutrosophic information.
Category: General Mathematics

[25] viXra:1804.0436 [pdf] submitted on 2018-04-28 09:27:32

Multi-Attribute Decision Making Based on Several Trigonometric Hamming Similarity Measures under Interval Rough Neutrosophic Environment

Authors: Surapati Pramanik, Rumi Roy, Tapan Kumar Roy, Florentin Smarandache
Comments: 9 Pages.

In this paper, the sine, cosine and cotangent similarity measures of interval rough neutrosophic sets is proposed. Some properties of the proposed measures are discussed. We have proposed multi attribute decision making approaches based on proposed similarity measures. To demonstrate the applicability, a numerical example is solved.
Category: General Mathematics

[24] viXra:1804.0435 [pdf] submitted on 2018-04-28 09:30:48

Multi Attribute Decision Making Strategy on Projection and Bidirectional Projection Measures of Interval Rough Neutrosophic Sets

Authors: Surapati Pramanik, Rumi Roy, Tapan Kumar Roy, Florentin Smarandache
Comments: 9 Pages.

In this paper, we define projection and bidirectional projection measures between interval rough neutrosophic sets and prove their basic properties. Then two new multi attribute decision making strategies are proposed based on interval rough neutrosophic projection and bidirectional projection measures respectively.
Category: General Mathematics

[23] viXra:1804.0434 [pdf] submitted on 2018-04-28 09:32:24

NC-VIKOR Based MAGDM Strategy under Neutrosophic Cubic Set Environment

Authors: Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Comments: 14 Pages.

Neutrosophic cubic set consists of interval neutrosophic set and single valued neutrosophic set simultaneously. Due to its unique structure, neutrosophic cubic set can express hybrid information consisting of single valued neutrosophic information and interval neutrosophic information simultaneously.
Category: General Mathematics

[22] viXra:1804.0433 [pdf] submitted on 2018-04-28 09:33:42

Neutrosophic EOQ Model with Price Break

Authors: M. Mullai, R. Surya
Comments: 5 Pages.

Inventory control of an ideal resource is the most important one which fulfils various activities (functions) of an organisation. The supplier gives the discount for an item in the cost of units inorder to motivate the buyers (or) customers to purchase the large quantity of that item.
Category: General Mathematics

[21] viXra:1804.0432 [pdf] submitted on 2018-04-28 09:34:44

Neutrosophic Goal Geometric Programming Problem based on Geometric Mean Method and its Application

Authors: Sahidul Islam, Tanmay Kundu
Comments: 11 Pages.

This paper describes neutrosophic goal geometric programming method, a new concept to solve multi-objective non-linear optimization problem under uncertainty.
Category: General Mathematics

[20] viXra:1804.0431 [pdf] submitted on 2018-04-28 09:36:12

On Neutrosophic Soft Prime Ideal

Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Comments: 22 Pages.

The motivation of the present paper is to extend the concept of neutrosophic soft prime ideal over a ring. In this paper the concept of neutrosophic soft completely prime ideals, neutrosophic soft completely semi-prime ideals and neutrosophic soft prime k - ideals have been introduced. These are illustrated with suitable examples also. Several related properties, theorems and structural characteristics of each are studied here.
Category: General Mathematics

[19] viXra:1804.0430 [pdf] submitted on 2018-04-28 09:37:46

On Neutrosophic Soft Topological Space

Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Comments: 13 Pages.

In this paper, the concept of connectedness and compactness on neutrosophic soft topological space have been introduced along with the investigation of their several characteristics. Some related theorems have been established also.
Category: General Mathematics

[18] viXra:1804.0429 [pdf] submitted on 2018-04-28 09:38:51

Single Valued Neutrosophic Hyperbolic Sine Similarity Measure Based MADM Strategy

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 9 Pages.

In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on hyperbolic sine function. The new similarity measures are namely, single valued neutrosophic hyperbolic sine similarity measure and weighted single valued neutrosophic hyperbolic sine similarity measure.
Category: General Mathematics

[17] viXra:1804.0427 [pdf] submitted on 2018-04-28 09:40:08

Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application

Authors: Emad Marei
Comments: 10 Pages.

This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets. Some of rough concepts are redefined and then some properties of these concepts are deduced, proved and illustrated by several examples. Finally, suggested model is applied in a decision making problem, supported with an algorithm.
Category: General Mathematics

[16] viXra:1804.0426 [pdf] submitted on 2018-04-28 09:41:19

The Creation of Three Logical Connectors to Reapprove How Comprehensive and Effective the Neutrosophic Logic is Compared to the Fuzzy Logic and the Classical Logic

Authors: Salah Bouzina, Djamel Hamoud
Comments: 3 Pages.

The main objective of this research is a simple attempt to suggest three new logical connectors and establish an equation a chart of truth for each of them. Secondly, and using the logical operations of these three connectors, we seek to show how comprehensive and widespread and effective is the Neutrosophic logic (NL) compared to any other logic, taking into account the Fuzzy Logic (FL) as well as the classical logic (CL) as a comparative model.
Category: General Mathematics

[15] viXra:1804.0425 [pdf] submitted on 2018-04-28 09:42:37

The Ingenuity of Neutrosophic Topology via N-Topology

Authors: M. Lellis Thivagar, S. Jafari, V. Antonysamy, V. Sutha Devi
Comments: 10 Pages.

In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc. Further we develop not only the concept of classical generalized closed sets into N-neutrosophic topological spaces but also obtain its basic properties. Finally we investigate its continuous function and generalized continuous function.
Category: General Mathematics

[14] viXra:1804.0424 [pdf] submitted on 2018-04-28 09:43:58

TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers

Authors: Pranab Biswas, Surapati Pramanik, Bibhas C. Giri
Comments: 11 Pages.

Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a popular strategy for MultiAttribute Decision Making (MADM). In this paper, we extend the TOPSIS strategy of MADM problems in trapezoidal neutrosophic number environment. The attribute values are expressed in terms of single-valued trapezoidal neutrosophic numbers.
Category: General Mathematics

[13] viXra:1804.0423 [pdf] submitted on 2018-04-28 09:45:16

Two Ranking Methods of Single Valued Triangular Neutrosophic Numbers to Rank and Evaluate Information Systems Quality

Authors: Samah Ibrahim Abdel Aal, Mahmoud M. A. Abd Ellatif, Mohamed Monir Hassan
Comments: 10 Pages.

The concept of neutrosophic can provide a generalization of fuzzy set and intuitionistic fuzzy set that make it is the best fit in representing indeterminacy and uncertainty. Single Valued Triangular Numbers (SVTrN-numbers) is a special case of neutrosophic set that can handle ill-known quantity very difficult problems.
Category: General Mathematics

[12] viXra:1804.0422 [pdf] submitted on 2018-04-28 09:47:05

Vikor Based Magdm Strategy Under Bipolar Neutrosophic Set Environment

Authors: Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Comments: 13 Pages.

In this paper, we extend the VIKOR VIsekriterijumska optimizacija i KOmpromisno Resenje) strategy to multiple attribute group decision-making (MAGDM) with bipolar neutrosophic set environment. In this paper, we first define VIKOR strategy in bipolar neutrosophic set environment to handle MAGDM problems, which means we combine the VIKOR with bipolar neutrosophic number to deal with MAGDM.
Category: General Mathematics

[11] viXra:1804.0336 [pdf] submitted on 2018-04-24 00:07:05

Limiting Vectors

Authors: Walter Gress
Comments: 2 Pages.

The behavior of vectors whence taken upon limits to infinity.
Category: General Mathematics

[10] viXra:1804.0288 [pdf] submitted on 2018-04-21 00:44:20

On Q-Laplace Transforms and Mittag-Leffler Type Functions

Authors: Kishan Sharma
Comments: 7 Pages.

In the present paper, the author derived the results based on q-Laplace transform of the K-Function introduced by Sharma[7]. Some special cases of interest are also discussed.
Category: General Mathematics

[9] viXra:1804.0287 [pdf] submitted on 2018-04-21 00:47:59

b#D - Sets and Associated Separation Axioms

Authors: N.Vithya, P.Thangavelu
Comments: 8 Pages.

In this paper the notion of b#D-sets is introduced. Some weak separation axioms namely b# −Dk, b# −R0, b#-R1 and b#-S0 are introduced and studied. Some lower separation axioms are characterized by using these separation axioms.
Category: General Mathematics

[8] viXra:1804.0225 [pdf] submitted on 2018-04-16 07:54:40

Question 447: Some Trigonometric Formulas for the Argument 2npi/13,n=1,2,3,4,5,6.

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents continued radicals and trigonometric formulas for the argument 2npi/13, n=1,2,3,4,5,6.
Category: General Mathematics

[7] viXra:1804.0195 [pdf] submitted on 2018-04-14 11:41:48

Exact Solution of Odes Vector Space Transformationtechnique

Authors: Claude Michael Cassano
Comments: 10 Pages.

This linear algebra technique provides a useful method of obtaining exact solutions to homogeneous linear ordinary differential equations. The Bessel half integer solutions, being long well known, have been used here to verify with confidence the above linear independence technique for solving ordinary differential equations. The Bessel second order LHODE has been used, here, as an example application of this vector space transformation technique. Clearly, it may be used on other non-general elementary second order LHODE, such as the Legendre, Laguerre, Hermite and other second order LHODE's. Using the two linearly independent solutions of a second order linear homogeneous ordinary differential equations insures that the two functions are linearly independent. However, any two linearly independent functions may be used, and the two resulting differential equations need not be the same, as was the case for the Bessel's above. In fact, clearly, the technique may also be used for higher order LHODE's, since there are N linearly independent solutions of an N-th order LHODE there would be an equal number of transformation equations.
Category: General Mathematics

[6] viXra:1804.0173 [pdf] submitted on 2018-04-12 14:33:36

Fractals on Non-Euclidean Metric

Authors: Yeray Cachón Santana
Comments: 11 Pages.

As far as I know, there is no a study on fractals on non euclidean metrics.This paper proposes a first approach method about generating fractals on a non-euclidean metric. The idea is to extend the calculus of fractals on non-euclidean metrics. Using the Riemann metric, there will be defined a non-euclidean modulo of a complex number in order to check the divergence of the series generated by the Mandelbrot set. It also shown that the fractals are not invariant versus rotations. The study will be extended to the quaternions, where is shown that the study of fractals might not be extended to quaternions with a general metric because of the high divergence of the series (a condition in order to generate a fractal is selecting bounded operators). Finally, a Java program will be found as example to show those kind of fractals, where any metric can be defined, so it will be helpful to study those properties.
Category: General Mathematics

[5] viXra:1804.0171 [pdf] submitted on 2018-04-12 14:59:06

Fermat Conjecture Solution

Authors: Allen C. Conti
Comments: 1 Page. (c) Allen C. Conti 2015-2018

Possible solution to the Fermat Conjecture regarding other exponents satisfying the Pythagorus relationship. Solution uses algebraic substitution, logical deduction and modulus verification.
Category: General Mathematics

[4] viXra:1804.0073 [pdf] submitted on 2018-04-04 08:06:18

Gare Aux Arnaques

Authors: Christophe Chalons
Comments: 8 Pages.

Papier décrivant des procédés usant abusivement du mot science et qui met en garde
Category: General Mathematics

[3] viXra:1804.0066 [pdf] submitted on 2018-04-04 15:53:11

Solution to the Troesch Problem for Boundary Equations.

Authors: Franco Sabino Stoianoff Lindstron
Comments: 3 Pages.

This paper shows, for the first time, that the explicit and exact solution to the Troesch nonlinear twopoint boundary value problem may be computed in a direct and straightforward fashion from the general solution obtained by a generalized Sundman transformation for the related differential equation, which appeared to be a special case of a more general equation. As a result, various initial and boundary value problems may be solved explicitly and exactly.
Category: General Mathematics

[2] viXra:1804.0015 [pdf] submitted on 2018-04-02 07:53:08

Question 446: pi as Sum of Arctangents

Authors: Edgar Valdebenito
Comments: 3 Pages.

This note presents some formulas of pi in terms of sum of arctangents.
Category: General Mathematics

[1] viXra:1804.0001 [pdf] replaced on 2018-05-28 20:27:44

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 14 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine (DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit have symmetry of OR-gate input line, so NNF circuit cannot identify from OR-gate output line which of OR-gate input line is 1. So NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some decision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design high complexity problem with almost perfct nonlinear (APN) function.
Category: General Mathematics