General Mathematics

1802 Submissions

[31] viXra:1802.0428 [pdf] submitted on 2018-02-28 06:55:11

Question 427 : Some Integrals

Authors: Edgar Valdebenito
Comments: 7 Pages.

This note presents a collection of integral formulas.
Category: General Mathematics

[30] viXra:1802.0426 [pdf] submitted on 2018-02-28 07:21:50

Question 435 : Pi Formulas

Authors: Edgar Valdebenito
Comments: 9 Pages.

This note presents some formulas involving pi.
Category: General Mathematics

[29] viXra:1802.0392 [pdf] submitted on 2018-02-27 01:06:36

NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment

Authors: Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Florentin Smarandache, Tapan Kumar Roy
Comments: 21 Pages.

A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a single-valued neutrosophic set (SVNS) environment, namely NS-cross entropy, and prove its basic properties.
Category: General Mathematics

[28] viXra:1802.0391 [pdf] submitted on 2018-02-27 01:07:59

Neutrosophic CommutativeN-Ideals in BCK-Algebras

Authors: Seok-Zun Song, Florentin Smarandache, Young Bae Jun
Comments: 9 Pages.

The notion of a neutrosophic commutative N-ideal in BCK-algebras is introduced, and several properties are investigated. Relations between a neutrosophic N-ideal and a neutrosophic commutative N-ideal are discussed. Characterizations of a neutrosophic commutative N-ideal are considered.
Category: General Mathematics

[27] viXra:1802.0390 [pdf] submitted on 2018-02-27 01:09:08

Neutrosophic N-Structures Applied to BCK/BCI-Algebras

Authors: Young Bae Jun, Florentin Smarandache, Hashem Bordbar
Comments: 12 Pages.

Neutrosophic N-structures with applications in BCK/BCI-algebras is discussed. The notions of a neutrosophic N-subalgebra and a (closed) neutrosophic N-ideal in a BCK/BCI-algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N-subalgebra and a neutrosophic N-ideal are considered, and relations between a neutrosophic N-subalgebra and a neutrosophic N-ideal are stated. Conditions for a neutrosophic N-ideal to be a closed neutrosophic N-ideal are provided.
Category: General Mathematics

[26] viXra:1802.0389 [pdf] submitted on 2018-02-27 01:10:35

Neutrosophic Information Theory and Applications

Authors: Florentin Smarandache, Jun Ye
Comments: 212 Pages.

The concept of Information is to disseminate scientific results achieved via experiments and theoretical results in depth. It is very important to enable researchers and practitioners to learn new technology and findings that enable development in the applied field.
Category: General Mathematics

[25] viXra:1802.0388 [pdf] submitted on 2018-02-27 01:11:40

Generalized Single-Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators and Their Applications to Multiple Criteria Decision-Making

Authors: Rui Wang, Yanlai Li
Comments: 19 Pages.

Single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set, and its aggregation tools play an important role in the multiple criteria decision-making (MCDM) process. This paper investigates the MCDM problems in which the criteria under SVNHF environment are in different priority levels.
Category: General Mathematics

[24] viXra:1802.0387 [pdf] submitted on 2018-02-27 01:12:36

Some New Biparametric Distance Measures on Single-Valued Neutrosophic Sets with Applications to Pattern Recognition and Medical Diagnosis

Authors: Harish Garg, Nancy
Comments: 20 Pages.

Single-valued neutrosophic sets (SVNSs) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, are a more flexible way to capture uncertainty. In this paper, some new types of distance measures, overcoming the shortcomings of the existing measures, for SVNSs with two parameters are proposed along with their proofs.
Category: General Mathematics

[23] viXra:1802.0386 [pdf] submitted on 2018-02-27 01:13:43

Certain Concepts in Intuitionistic Neutrosophic Graph Structures

Authors: Muhammad Akram, Muzzamal Sitara
Comments: 19 Pages.

A graph structure is a generalization of simple graphs. Graph structures are very useful tools for the study of different domains of computational intelligence and computer science. In this research paper, we introduce certain notions of intuitionistic neutrosophic graph structures. We illustrate these notions by several examples. We investigate some related properties of intuitionistic neutrosophic graph structures. We also present an application of intuitionistic neutrosophic graph structures.
Category: General Mathematics

[22] viXra:1802.0385 [pdf] submitted on 2018-02-27 01:14:55

NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

Authors: Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Comments: 21 Pages.

A neutrosophic cubic set is the hybridization of the concept of a neutrosophic set and an interval neutrosophic set. A neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly defined, little research on the operations and applications of neutrosophic cubic sets has been reported in the current literature.
Category: General Mathematics

[21] viXra:1802.0384 [pdf] submitted on 2018-02-27 01:15:53

VIKOR Method for Interval Neutrosophic Multiple Attribute Group Decision-Making

Authors: Yu-Han Huang, Gui-WuWei, Cun Wei
Comments: 10 Pages.

In this paper, we will extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) method to multiple attribute group decision-making (MAGDM) with interval neutrosophic numbers (INNs). Firstly, the basic concepts of INNs are briefly presented.
Category: General Mathematics

[20] viXra:1802.0382 [pdf] submitted on 2018-02-27 01:18:00

TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making

Authors: Dong-Sheng Xu, Cun Wei, Gui-Wu Wei
Comments: 18 Pages.

Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM. In this paper, we will extend the TODIM method to the MADM with the single-valued neutrosophic numbers (SVNNs).
Category: General Mathematics

[19] viXra:1802.0374 [pdf] submitted on 2018-02-26 01:32:51

A Survey on Smarandache Notions in Number Theory I: Smarandache Function

Authors: Huaning Liu
Comments: 13 Pages.

In this paper we give a survey on recent results on Smarandache function.
Category: General Mathematics

[18] viXra:1802.0373 [pdf] submitted on 2018-02-26 01:33:31

A Survey on Smarandache Notions in Number Theory II: Pseudo-Smarandache Function

Authors: Huaning Liu
Comments: 9 Pages.

In this paper we give a survey on recent results on pseudo-Smarandache function.
Category: General Mathematics

[17] viXra:1802.0249 [pdf] submitted on 2018-02-19 06:55:39

Question 431 : A Definite Integral for Pi

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents a definite integral for pi.
Category: General Mathematics

[16] viXra:1802.0248 [pdf] submitted on 2018-02-19 06:58:12

Question 433 : Some Integration Questions

Authors: Edgar Valdebenito
Comments: 5 Pages.

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

[15] viXra:1802.0247 [pdf] submitted on 2018-02-19 07:03:38

Ramanujan's Roots

Authors: Edgar Valdebenito
Comments: 8 Pages.

This note presents some formulas related with pi.
Category: General Mathematics

[14] viXra:1802.0228 [pdf] submitted on 2018-02-18 04:54:39

Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox

Authors: Said Broumi, Le Hoang Son, Assia Bakali, Mohamed Talea, Florentin Smarandache, Ganeshsree Selvachandran
Comments: 9 Pages.

Neutrosophic set is a generalization of classical set, fuzzy set, and intuitionistic fuzzy set by employing a degree of truth (T), a degree of indeterminacy (I), and a degree of falsehood (F) associated with an element of the dataset. One of the most essential problems is studying set-theoretic operators in order to be applied to practical applications.
Category: General Mathematics

[13] viXra:1802.0227 [pdf] submitted on 2018-02-18 04:56:17

IN-cross Entropy Based MAGDM Strategy under Interval Neutrosophic Set Environment

Authors: Shyamal Dalapati, Surapati Pramanik, Shariful Alam, Florentin Smarandache, Tapan Kumar Roy
Comments: 15 Pages.

Cross entropy measure is one of the best way to calculate the divergence of any variable from the priori one variable. We define a new cross entropy measure under interval neutrosophic set (INS) environment, which we call IN-cross entropy measure and prove its basic properties. We also develop weighted IN-cross entropy measure and investigats its basic properties.
Category: General Mathematics

[12] viXra:1802.0226 [pdf] submitted on 2018-02-18 04:58:01

Interval Neutrosophic Sets Applied to Ideals in Bck/bci-Algebras

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

In this article, we apply the notion of interval neutrosophic sets to ideal theory in BCK/BCI-algebras.
Category: General Mathematics

[11] viXra:1802.0225 [pdf] submitted on 2018-02-18 04:59:36

On Neutrosophic Semi Alpha Open Sets

Authors: Qays Hatem Imran, F. Smarandache, Riad K. Al-Hamido, R. Dhavaseelan
Comments: 6 Pages.

In this paper, we presented another concept of neutrosophic open sets called neutrosophic semi-alfa-open sets and studied their fundamental properties in neutrosophic topological spaces. We also present neutrosophic semi-alfa-interior and neutrosophic semi-alfa-closure and study some of their fundamental properties.
Category: General Mathematics

[10] viXra:1802.0224 [pdf] replaced on 2018-02-19 04:36:12

An Application of Single-Valued Neutrosophic Sets in Medical Diagnosis

Authors: Gulfam Shahzadi, Muhammad Akram, Arsham Borumand Saeid
Comments: 9 Pages.

In this paper, we present the use of single-valued neutrosophic sets in medical diagnosis by using distance measures and similarity measures. Using interconnection between single-valued neutrosophic sets and symptoms of patient, we determine the type of disease. We define new distance formulas for single valued neutrosophic sets. We develop two new medical diagnosis algorithms under neutrosophic environment. We also solve a numerical example to illustrate the proposed algorithms and finally, we compare the obtained results.
Category: General Mathematics

[9] viXra:1802.0223 [pdf] submitted on 2018-02-18 05:02:31

Neutrosophic Soft Matrix and Its Application to Decision Making

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

The motivation of this paper is to extend the concept of Neutrosophic soft matrix (NSM) theory. Some basic definitions of classical matrix theory in the parlance of neutrosophic soft set theory have been presented with proper examples. Then, a theoretical studies of some traditional operations of NSM have been developed. Finally, a decision making theory has been proposed by developing an appropriate solution algorithm, namely, score function algorithm and it has been illustrated by suitable examples.
Category: General Mathematics

[8] viXra:1802.0222 [pdf] submitted on 2018-02-18 05:03:51

On Separation Axioms in an Ordered Neutrosophic Bitopological Space

Authors: R. Narmada Devi, R. Dhavaseelan, S. Jafari
Comments: 10 Pages.

In this paper we introduce the concept of a new class of an ordered neutrosophic bitopological spaces. Besides giving some interesting properties of these spaces. We also prove analogues of Uryshon’s lemma and Tietze extension theorem in an ordered neutrosophic bitopological spaces.
Category: General Mathematics

[7] viXra:1802.0221 [pdf] submitted on 2018-02-18 05:05:48

Selection of Transportation Companies and Their Mode of Transportation for Interval Valued Data

Authors: Dalbinder Kour, Kajla Basu
Comments: 13 Pages.

The paper presents selection of transportation companies and their mode of transportation for interval valued neutrosophic data. The paper focuses on the application of distance measures to select mode of transportation for transportation companies. The paper also presents the application of multi-criteria decision making method using weighted correlation coefficient and extended TOPSIS for transportation companies.
Category: General Mathematics

[6] viXra:1802.0124 [pdf] replaced on 2018-03-20 18:44:12

A Proof of the Riemann Hypothesisv2

Authors: A. A. Logan
Comments: 7 pages, 14 figures, 1 table, preprint for IET Journal of Engineering submission (revised with improved structure, clearer explanation and more straightforward argument)

This paper investigates the characteristics of the power series representation of the Riemann Xi function. A detailed investigation of the behaviour of the zeros of the real part of the power series and the behaviour of the curve, combined with a substitution of polar coordinates in the power series and in the definition of the critical strip (leading to a critical area), and the relationship with the zeros of the imaginary part of the power series leads to the conclusion that the Riemann Xi function only has real zeros.
Category: General Mathematics

[5] viXra:1802.0108 [pdf] submitted on 2018-02-09 06:26:11

Question 430 : A Definite Integral

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents a definite integral for pi.
Category: General Mathematics

[4] viXra:1802.0107 [pdf] submitted on 2018-02-09 06:31:18

Lemniscate Constants

Authors: Edgar Valdebenito
Comments: 6 Pages.

This note presents some integrals for lemniscate constants.
Category: General Mathematics

[3] viXra:1802.0048 [pdf] submitted on 2018-02-05 06:58:27

On pi :A Definite Integral

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents a definite integral for pi
Category: General Mathematics

[2] viXra:1802.0037 [pdf] submitted on 2018-02-03 12:50:42

A Parametric Form of the Fermat Equation ?

Authors: Jean BENICHOU
Comments: 1 Page.

The curves of x^n + y^n = z^n seem to be identical to a trig parametric form which for n>2 would exclude integer solutions.
Category: General Mathematics

[1] viXra:1802.0001 [pdf] submitted on 2018-02-01 00:52:03

Predicting Day of New Year’s Day

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of predicting the day of New Year’s Day for any given year in Gregorian & Julian calendar using simplified formula. It consists of five algebraic 2 for Julian expression, three of which are integer function by substituting the year. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0Saturday, 1Sunday, and so on, that determines the exact day of New Year This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics