General Mathematics

1805 Submissions

[29] viXra:1805.0388 [pdf] submitted on 2018-05-22 08:38:47

Question 462: Integrals

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents some integrals for pi.
Category: General Mathematics

[28] viXra:1805.0352 [pdf] submitted on 2018-05-20 06:56:08

Polynomial Encryption

Authors: Yeray Cachón Santana
Comments: 12 Pages. Feel free to send any comment to ycachon@gmail.com

This paper proposes a new method to encrypt and decrypt a message by special functions formed by Hermite, Laguerre, Tchebychev and Bessel The idea to encrypt a message will be by using base changes from the Taylor base to the bases of those special functions. The Hermite, Lagurrre, Tchebychev and Bessel polynomials are orthogonal, so they form a base set on a Hilbert space. The encryption will be using several sequences of those base changes according to a number sequence. According to Hilbert space, as those are orthogonal polynomials, those functions form a orthogonal base. So, a change base can be done between a Taylor base and those bases - this is the method that will be used in order to encrypt a message.
Category: General Mathematics

[27] viXra:1805.0260 [pdf] submitted on 2018-05-14 08:45:43

Question 460: A Formula for Pi

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents a simple formula for pi.
Category: General Mathematics

[26] viXra:1805.0077 [pdf] submitted on 2018-05-02 18:01:59

Refutation of Neutrosophy as Generalized from Hegel's Dialectic © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 2 Pages. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

The argument as rendered is not tautologous and a contradiction. This refutes the definition of neutrosophy and consequently invalidates it as a generalization of Hegel's dialectic. Remark: Hegel's dialectical philosophy lacks a quantified and modalized symbolic logic; to map it into a modal logic model checker is hence potentially problematic.
Category: General Mathematics

[25] viXra:1805.0075 [pdf] submitted on 2018-05-02 22:35:09

Refutation of Quinary Logic in Neutrosophy © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

From the equations as rendered, the notion of ambiguity A (0.5,0.5) is not tautologous but rather truthity. Remark: The abstract of the captioned paper introduces the modal words of possibility and necessity which unfortunately are not mentioned in the text. We conclude that there is no provision in the neutrosophic cube to introduce modal operators. Because neutrosophy has no bivalent square of opposition, but rather a non-bivalent lozenge with a multiple-defined midpoint, the quantified operators are prohibited from definition and hence are disparate from neutrosophy. This means neutrosophic logic is unable to map and support modal or alethic logic.
Category: General Mathematics

[24] viXra:1805.0074 [pdf] submitted on 2018-05-02 22:43:26

Refutation of the Neutrosophic Lattices for Negated Adjectival Phrases © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

While the equations as rendered are equivalent, they are not tautologous as definitions to commence the paper. Consequently we stop there, evaluate no further, and conclude the premise is refuted of neutrosophic lattices for negated adjectival phrases.
Category: General Mathematics

[23] viXra:1805.0043 [pdf] submitted on 2018-05-01 13:22:53

Refutation of Neutrosophic Lattices for Negated Adjectival Phrases © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

While the definitions of partial order are equivalent, they are not tautologous definitions to commence the paper. Consequently we stop there, evaluate no further, and conclude the premise is refuted of neutrosophic lattices for negated adjectival phrases.
Category: General Mathematics

[22] viXra:1805.0033 [pdf] submitted on 2018-05-02 07:50:30

Fixed Point Method , Dottie Number

Authors: Edgar Valdebenito
Comments: 6 Pages.

In this note we discuss the problem of finding approximate solutions of the equation: x=(1/2)*arcsin(2*x*sqrt(1-x^2)),0<=x<=1 , via Fixed Point Iteration Method.
Category: General Mathematics

[21] viXra:1805.0028 [pdf] submitted on 2018-05-01 01:14:46

A Lattice Theoretic Look: A Negated Approach to Adjectival (Intersective, Neutrosophic and Private) Phrases and More

Authors: Selçuk Topal, Florentin Smarandache
Comments: 11 Pages.

This paper is an extended version of “A Lattice Theoretic Look: A Negated Approach to Adjectival (Intersective, Neutrosophic and Private) Phrases’’ in INISTA 2017. Firstly, some new negations of intersective adjectival phrases and their set-theoretic semantics such as non-red non-cars and red non-carsbare presented. Secondly, a lattice structure is built on positive and negative nouns and their positive and negative intersective adjectival phrases.
Category: General Mathematics

[20] viXra:1805.0027 [pdf] submitted on 2018-05-01 01:18:05

An Approach to Measuring the Website Quality Based on Neutrosophic Sets

Authors: Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Darjan Karabasevic
Comments: 11 Pages.

Gathering the attitudes of the examined respondents would be very significant in some evaluation models. Therefore, an approach to the evaluation of websites based on the use of the neutrosophic set is proposed in this paper. An example of websites evaluation is considered at the end of this paper with the aim to present in detail the proposed approach.
Category: General Mathematics

[19] viXra:1805.0026 [pdf] submitted on 2018-05-01 01:20:06

A Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras

Authors: Seok-Zun Song, Madad Khan, Florentin Smarandache, Young Bae Jun
Comments: 11 Pages.

Generalized neutrosophic set is introduced, and applied it to BCK/BCI-algebras. The notions of generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras are introduced, and related properties are investigated. Characterizations of generalized neutrosophic subalgebra/ideal are considered.
Category: General Mathematics

[18] viXra:1805.0025 [pdf] submitted on 2018-05-01 01:22:38

Bipolar Complex Neutrosophic Graphs of Type 1

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, V. Venkateswara Rao
Comments: 19 Pages.

In this paper, we introduced a new neutrosophic graphs called bipolar complex neutrosophic graphs of type1(BCNG1) and presented a matrix representation for it and studied some properties of this new concept. The concept of BCNG1 is an extension of generalized fuzzy graphs of type 1 (GFG1), generalized single valued neutrosophic graphs of type 1 (GSVNG1), Generalized bipolar neutrosophic graphs of type 1(GBNG1) and complex neutrosophic graph of type 1(CNG1.
Category: General Mathematics

[17] viXra:1805.0024 [pdf] submitted on 2018-05-01 01:24:06

Bipolar Neutrosophic Soft Expert Set Theory

Authors: Mehmet Şahin, Vakkas Uluçay, Said Broumi
Comments: 14 Pages.

In this paper, we introduce for the first time the concept of bipolar neutrosophic soft expert set and its some operations. Also, the concept of bipolar neutrosophic soft expert set and its basic operations, namely complement, union and intersection. We give examples for these concepts.
Category: General Mathematics

[16] viXra:1805.0022 [pdf] submitted on 2018-05-01 01:27:05

Generalized Neutrosophic Closed Sets

Authors: R. Dhavaseelan, S. Jafari
Comments: 14 Pages.

In this paper, the concept of generalized neutrosophic closed set is introduced. Further, generalized neutrosophic continuous mapping, generalized neutrosophic irresolute mapping, strongly neutrosophic continuous mapping, perfectly neutrosophic continuous mapping, strongly generalized neutrosophic continuous mapping and perfectly generalized neutrosophic contin- uous mapping are introduced. Several interesting properties and characterizations are also discussed.
Category: General Mathematics

[15] viXra:1805.0020 [pdf] submitted on 2018-05-01 01:29:32

Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making

Authors: Mehmet Şahin, Abdullah Kargın, Florentin Smarandache
Comments: 34 Pages.

In this study we define the generalizing single valued triangular neutrosophic number. In addition, single valued neutrosophic numbers are transformed into single valued triangular neutrosophic numbers according to the values of truth, indeterminacy and falsity.
Category: General Mathematics

[14] viXra:1805.0018 [pdf] submitted on 2018-05-01 01:32:21

Interval-Valued Neutrosophic Bonferroni Mean Operators and the Application in the Selection of Renewable Energy

Authors: Pu Ji, Peng-fei Cheng, Hong-yu Zhang, Jian-qiang Wang
Comments: 28 Pages.

Renewable energy has been replacing traditional non-renewable energy owing to the limitation of the latter and environmental protection. Renewable energy is energy that can be circularly regenerated in nature. It mainly includes solar energy, wind energy, biomass energy, tidal energy and ocean thermal energy, just name a few.
Category: General Mathematics

[13] viXra:1805.0017 [pdf] submitted on 2018-05-01 01:33:55

Interval Valued Neutrosophic Soft Graphs

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Faruk Karaaslan
Comments: 34 Pages.

In this article, we combine the interval valued neutrosophic soft set and graph theory. We introduce the notions of interval valued neutrosophic soft graphs, strong interval valued neutrosophic graphs, complete interval valued neutrosophic graphs, and investigate some of their related properties. We study some operations on interval valued neutrosophic soft graphs.
Category: General Mathematics

[12] viXra:1805.0016 [pdf] submitted on 2018-05-01 01:35:38

Multi-Attribute Group Decision Making Based on Expected Value of Neutrosophic Trapezoidal Numbers

Authors: Pranab Biswas, Surapati Pramanik, Bibhas C. Giri
Comments: 20 Pages.

We present an expected value based method for multiple attribute group decision making (MAGDM), where the preference values of alternatives and the importance of attributes are expressed in terms of neutrosophic trapezoidal numbers (NTrNs).
Category: General Mathematics

[11] viXra:1805.0014 [pdf] submitted on 2018-05-01 01:38:43

Multi-criteria Group Decision Making based on Linguistic Refined Neutrosophic Strategy

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 15 Pages.

Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set. We also define entropy to calculate unknown weights of the criteria and establish basic properties of entropy in linguistic neutrosophy refine set environment. In the developed strategy, the rating of all alternatives is expressed with linguistic variables.
Category: General Mathematics

[10] viXra:1805.0013 [pdf] submitted on 2018-05-01 01:40:27

Neutrosophic Contra-Continuous Multi-Functions

Authors: S. Jafari, N. Rajesh
Comments: 9 Pages.

This paper is devoted to the concepts of neutrosophic upper and neutrosophic lower contra- continuous multifunctions and also some of their characterizations are considered.
Category: General Mathematics

[9] viXra:1805.0011 [pdf] submitted on 2018-05-01 01:44:02

Neutrosophic Invertible Graphs of Neutrosophic Rings

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

The investigation of simple undirected graphs associated to finite algebraic structures, namely, rings and fields which are very important in the theory of algebraic graphs. In recent years the interplay between Neutrosophic algebraic structure and graph structure is studied by few researchers.
Category: General Mathematics

[8] viXra:1805.0010 [pdf] submitted on 2018-05-01 01:45:39

Neutrosophic Rare Alpha-Continuity

Authors: R.Dhavaseelan, S. Jafari, R. M. Latif, F. Smarandache
Comments: 9 Pages.

In this paper, we introduce the concepts of neutrosophic rare alpha-continuous, neutrosophic rarely continuous, neutrosophic rarely pre-continuous, neutrosophic rarely semi-continuous are introduced and studied in light of the concept of rare set in neutrosophic setting.
Category: General Mathematics

[7] viXra:1805.0009 [pdf] submitted on 2018-05-01 01:47:18

Neutrosophic Resolvable and Neutrosophic Irresolvable Spaces

Authors: M. Caldas, R. Dhavaseelan, M. Ganster, S. Jafari
Comments: 9 Pages.

In this paper, the concepts of neutrosophic resolvable, neutrosophic irresolvable, neutrosophic open hereditarily irresolvable spaces and maximally neutrosophic irresolvable spaces are introduced. Also we studyseveral properties of the neutrosophic open hereditarily irresolvable spaces besides giving characterization of these spaces by means of somewhat neutrosophic continuous functions and somewhat neutrosophic open functions.
Category: General Mathematics

[6] viXra:1805.0008 [pdf] submitted on 2018-05-01 01:48:42

Neutrosophic Semi-Continuous Multifunctions

Authors: R. Dhavaseelan, S. Jafari, N. Rajesh, F. Smarandache
Comments: 10 Pages.

In this paper we introduce the concepts of neutrosophic upper and neutrosophic lower semi-continuous multifunctions and study some of their basic properties.
Category: General Mathematics

[5] viXra:1805.0007 [pdf] submitted on 2018-05-01 01:52:38

Neutrosophic Sets: An Overview

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Vakkas Uluçay, Mehmet Sahin, Arindam Dey, Mamouni Dhar, Rui-Pu Tan, Ayoub Bahnasse, Surapati Pramanik
Comments: 32 Pages.

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoidal neutrosophic fuzzy number and their basic operations. Also some comparative studies between the existing neutrosophic sets and neutrosophic number are provided.
Category: General Mathematics

[4] viXra:1805.0006 [pdf] submitted on 2018-05-01 02:03:50

On Neutrosophic α-Supra Open Sets and Neutrosophic α-Supra Continuous Functions

Authors: R. Dhavaseelan, M. Ganster, S. Jafari, M. Parimala
Comments: 10 Pages.

In this paper, we introduce and investigate a new class of sets and functions between supra topological spaces called neutrosophic alpha-supra open set and neutrosophic alpha-supra continuous function.
Category: General Mathematics

[3] viXra:1805.0005 [pdf] submitted on 2018-05-01 02:05:12

On Neutrosophic Supra P re-Continuous Functions in Neutrosophic Topological Spaces

Authors: M. Parimala, M. Karthika, R. Dhavaseelan, S. Jafari
Comments: 13 Pages.

In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic supra pre- continious functions. Furthermore, the concepts of neutro- sophic supra pre-open maps and neutrosophic supra pre-closed maps in terms of neutrosophic supra pre-open sets and neutrosophic supra pre-closed sets, respectively, are introduced and several prop- erties of them are investigated.
Category: General Mathematics

[2] viXra:1805.0004 [pdf] submitted on 2018-05-01 02:06:57

Single Valued Neutrosophic Finite State Machine and Switchboard State Machine

Authors: Tahir Mahmood, Qaisar Khan, Kifayat Ullah, Naeem Jan
Comments: 19 Pages.

Using single valued neutrosophic set we introduced the notion of single valued neutrosophic finite state machine, single valued neutrosophic successor, single valued neutrosophic subsystem and single valued submachine, single valued neutrosophic switchboard state machine, homomorphism and strong homomorphism between single valued neutrosophic switchboard state machine and discussed some related results and properties.
Category: General Mathematics

[1] viXra:1805.0003 [pdf] submitted on 2018-05-01 02:08:21

Some Weighted Arithmetic Operators and Geometric Operators with SVNSs and Their Application to Multi-Criteria Decision Making Problems

Authors: Mehmet Şahin, Vakkas Uluçay, Hatice Acıoglu
Comments: 20 Pages.

As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. In this paper,this article introduces an approach to handle multi-criteria decision making (MCDM) problems under the SVNSs.
Category: General Mathematics