General Mathematics

1702 Submissions

[11] viXra:1702.0330 [pdf] submitted on 2017-02-27 12:42:03

Newton-Julia Set for Some Polynomials Related with Number pi

Authors: Edgar Valdebenito
Comments: 30 Pages.

Newton-Julia fractals and pi formulas
Category: General Mathematics

[10] viXra:1702.0324 [pdf] submitted on 2017-02-26 23:40:12

Why Finite Mathematics Is The Most Fundamental and Ultimate Quantum Theory Will Be Based on Finite Mathematics

Authors: Felix M. Lev
Comments: 10 Pages. Published in Physics of Particles and Nuclei Letters

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 first argue that the situation is the opposite: classical mathematics is only a degenerate special case of finite one and finite mathematics is more pertinent for describing nature than standard one. Then we describe results of a quantum theory based on finite mathematics. Implications for foundation of mathematics are discussed.
Category: General Mathematics

[9] viXra:1702.0239 [pdf] submitted on 2017-02-19 05:54:26

Energy and Laplacian Energy of a Single Value Neutrosophic Graph

Authors: Sumera Naz, Hossein Rashmanlou, M. Aslam Malik
Comments: 29 Pages.

Single valued neutrosophic model as an instance of a neutrosophic model provide an additional possibility to represent imprecise, uncertainty, inconsistent and incomplete information which exist in real situations. In this paper, the concept of energy of a graph is introduced in the context of a single valued neutrosophic environment, where for each element the truth-membership, indeterminacy-membership and falsity-membership degree, in [0, 1], are independently assigned. Firstly, the novel concepts of energy of a single valued neutrosophic graph (SVNG) are proposed and their properties are investigated, then Laplacian energy of a SVNG is introduced. Between the properties of energy and Laplacian energy of a SVNG, there is a great deal of analogy, but also some significant differences.
Category: General Mathematics

[8] viXra:1702.0238 [pdf] submitted on 2017-02-18 14:00:18

Certain Types of Graphs in Interval-Valued Intuitionistic Fuzzy Setting

Authors: S. Naz, M. A. Malik, H. Rashmanlou
Comments: 18 Pages.

Interval-valued intuitionistic fuzzy set (IVIFS) as a generalization of intuitionistic fuzzy set (IFS) increase its elasticity drastically. In this paper, some important types of interval-valued intuitionistic fuzzy graphs (IVIFGs) such as regular, irregular, neighbourly irregular, highly irregular and strongly irregular IVIFGs are discussed. The relation among neighbourly irregular, highly irregular and strongly irregular IVIFGs is proved. The notion of interval-valued intuitionistic fuzzy clique (IVIFC) is introduced. A complete characterization of the structure of the IVIFC is presented.
Category: General Mathematics

[7] viXra:1702.0237 [pdf] submitted on 2017-02-18 14:33:00

Measurement of Planarity in Product Bipolar Fuzzy Graphs

Authors: S. Naz, S. Ashraf, H. Rashmanlou
Comments: 16 Pages.

Bipolar fuzzy set theory provides a basis for bipolar cognitive modeling and multiagent decision analysis, where in some situations, the product operator may be preferred to the min operator, from theoretical and experimental aspects. In this paper, the definition of product bipolar fuzzy graphs (PBFGs) is modified. The concepts of product bipolar fuzzy multigraphs (PBFMGs), product bipolar fuzzy planar graphs (PBFPGs) and product bipolar fuzzy dual graphs (PBFDGs) are introduced and investigated. Product bipolar fuzzy planarity value of PBFPG is introduced. The relation between PBFPG and PBFDG is also established. Isomorphism between PBFPGs is discussed. Finally, an application of the proposed concepts is provided.
Category: General Mathematics

[6] viXra:1702.0183 [pdf] submitted on 2017-02-16 07:59:31

Hybrid Vector Similarity Measure of Single Valued Refined Neutrosophic Sets to Multi-Attribute Decision Making Problems

Authors: Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri
Comments: 25 Pages.

This paper proposes hybrid vector similarity measures under single valued refined neutrosophic sets and proves some of its basic properties. The proposed similarity measure is then applied for solving multiple attribute decision making problems. Lastly, a numerical example of medical diagnosis is given on the basis of the proposed hybrid similarity measures and the results are compared with the results of other existing methods to validate the applicability, simplicity and effectiveness of the proposed method.
Category: General Mathematics

[5] viXra:1702.0180 [pdf] submitted on 2017-02-15 07:33:20

An Elliptic Integral

Authors: Edgar Valdebenito
Comments: 8 Pages.

This note presents some formulas related with the elliptic integrals.
Category: General Mathematics

[4] viXra:1702.0173 [pdf] submitted on 2017-02-14 19:38:12

On the Squaring of the Circle

Authors: Clive Jones
Comments: 6 Pages.

An Exploration of Circle-Square Properties & Identities
Category: General Mathematics

[3] viXra:1702.0140 [pdf] submitted on 2017-02-11 13:12:03

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

Authors: Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri
Comments: 18 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 modeling real life decision making problems. In the paper, we have defined projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets and the proposed measures are then applied to multi-attribute decision making problems. The ratings of performance values of the alternatives with respect to the attributes are expressed by bipolar neutrosophic values. We calculate projection, bidirectional projection, and hybrid projection measures between each alternative and ideal alternative with bipolar neutrosophic information and then all the alternatives are ranked to identify best option. Finally, a numerical example is provided to demonstrate the applicability and effectiveness of the developed method. Comparison analysis with other existing methods is also provided.
Category: General Mathematics

[2] viXra:1702.0082 [pdf] submitted on 2017-02-06 11:01:59

Infinite Tetration of Euler’s Number and the Z-Exponential

Authors: C. A. Laforet
Comments: 3 Pages.

It is shown that the infinite tetration of Euler’s number is equal to any complex number. It is also found that starting with any complex number except 0 and 1, we can convert the complex number into an exponential with a complex exponent. If this is done recursively for each successive exponent, we find that the complex exponent converges to a constant number, which is named the Z-Exponential (Z_e). Derivatives for the Z-Exponential function are derived as well as its relationship to the exponential and natural logarithm.
Category: General Mathematics

[1] viXra:1702.0050 [pdf] submitted on 2017-02-03 11:54:49

Elementary Equalities Between Radicals

Authors: Edgar Valdebenito
Comments: 10 Pages.

In this note we briefly examine some elementary radical identities found in Ramanujan's work.
Category: General Mathematics