General Mathematics

1808 Submissions

[18] viXra:1808.0281 [pdf] submitted on 2018-08-20 04:47:04

A Classical Group of Neutrosophic Triplet Groups

Authors: Vasantha KandasamyW.B., Ilanthenral Kandasamy, Florentin Smarandache
Comments: 8 Pages.

Fuzzy set theory was introduced by Zadeh and was generalized to the Intuitionistic Fuzzy Set (IFS) by Atanassov. Real-world, uncertain, incomplete, indeterminate, and inconsistent data were presented philosophically as a neutrosophic set by Smarandache [3], who also studied the notion of neutralities that exist in all problems.
Category: General Mathematics

[17] viXra:1808.0280 [pdf] submitted on 2018-08-20 04:48:40

A Critical Path Problem Using Triangular Neutrosophic Number

Authors: Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, Yongquan Zhou
Comments: 11 Pages.

The Critical Path Method (CPM) is one of several related techniques for planning and managing of complicated projects in real world applications. In many situations, the data obtained for decision makers are only approximate, which gives rise of neutrosophic critical path problem.
Category: General Mathematics

[16] viXra:1808.0279 [pdf] submitted on 2018-08-20 04:50:13

A Critical Path Problem in Neutrosophic Environment

Authors: Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, Yongquan Zhou
Comments: 8 Pages.

The Critical Path Method (CPM) is one of several related techniques for planning and managing of complicated projects in real world applications. In many situations, the data obtained for decision makers are only approximate, which gives rise of neutrosophic critical path problem.
Category: General Mathematics

[15] viXra:1808.0278 [pdf] submitted on 2018-08-20 04:51:20

A Family of Estimators of Population Mean Using Multiauxiliary Information in Presence of Measurement Errors

Authors: Jack Allen, Housila P. Singh
Comments: 15 Pages.

This paper proposes a family of estimators of population mean using information on several auxiliary variables and analyzes its properties in the presence of measurement errors.
Category: General Mathematics

[14] viXra:1808.0277 [pdf] submitted on 2018-08-20 04:52:46

A Hybrid Neutrosophic Group ANP-TOPSIS Framework for Supplier Selection Problems

Authors: Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache
Comments: 21 Pages.

One of the most significant competitive strategies for organizations is sustainable supply chain management (SSCM). The vital part in the administration of a sustainable supply chain is the sustainable supplier selection, which is a multi-criteria decision-making issue, including many conflicting criteria.
Category: General Mathematics

[13] viXra:1808.0272 [pdf] submitted on 2018-08-20 05:12:26

A New Algorithm for Finding Minimum Spanning Trees with Undirected Neutrosophic Graphs

Authors: Arindam Dey, Said Broumi, Le Hoang Son, Assia Bakali, Mohamed Talea, Florentin Smarandache
Comments: 7 Pages.

In this paper, we discuss the minimum spanning tree (MST) problem of an undirected neutrosophic weighted connected graph in which a single-valued neutrosophic number, instead of a real number/fuzzy number, is assigned to each arc as its arc length.We define this type of MST as neutrosophic minimum spanning tree (NMST).
Category: General Mathematics

[12] viXra:1808.0271 [pdf] submitted on 2018-08-20 05:15:45

A New Concept of Matrix Algorithm for MST in Undirected Interval Valued Neutrosophic Graph

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Kishore Kumar P K
Comments: 16 Pages.

In this chapter, we introduce a new algorithm for finding a minimum spanning tree (MST) of an undirected neutrosophic weighted connected graph whose edge weights are represented by an interval valued neutrosophic number. In addition, we compute the cost of MST and compare the de- neutrosophied value with an equivalent MST having the detereministic weights. Finally, a numerical example is provided.
Category: General Mathematics

[11] viXra:1808.0269 [pdf] submitted on 2018-08-20 05:18:04

An Extended Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with Maximizing Deviation Method Based on Integrated Weight Measure for Single-Valued Neutrosophic Sets

Authors: Ganeshsree Selvachandran, Shio Gai Quek, Florentin Smarandache, Said Broumi
Comments: 17 Pages.

A single-valued neutrosophic set (SVNS) is a special case of a neutrosophic set which is characterized by a truth, indeterminacy, and falsity membership function, each of which lies in the standard interval of [0, 1]. This paper presents a modified Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with maximizing deviation method based on the single-valued neutrosophic set (SVNS) model.
Category: General Mathematics

[10] viXra:1808.0267 [pdf] submitted on 2018-08-20 05:20:59

An Extension of Neutrosophic AHP–SWOT Analysis for Strategic Planning and Decision-Making

Authors: Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache
Comments: 18 Pages.

Every organization seeks to set strategies for its development and growth and to do this, it must take into account the factors that affect its success or failure. The most widely used technique in strategic planning is SWOT analysis. SWOT examines strengths (S), weaknesses (W),opportunities (O) and threats (T), to select and implement the best strategy to achieve organizational goals.
Category: General Mathematics

[9] viXra:1808.0266 [pdf] submitted on 2018-08-20 05:22:13

An Isolated Bipolar Single-Valued Neutrosophic Graphs

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache
Comments: 7 Pages.

In this research paper, we propose the graph of the bipolar single-valued neutrosophic set (BSVNS) model. This graph generalized the graphs of single-valued neutrosophic set models.
Category: General Mathematics

[8] viXra:1808.0265 [pdf] submitted on 2018-08-20 05:23:23

An Outline of Cellular Automaton Universe Via Cosmological KdV Equation

Authors: V Christianto, F Smarandache, Y Umniyati
Comments: 3 Pages.

It has been known for long time that the cosmic sound wave was there since the early epoch of the Universe. Signatures of its existence are abound. However, such a sound wave model of cosmology is rarely developed fully into a complete framework.
Category: General Mathematics

[7] viXra:1808.0226 [pdf] submitted on 2018-08-17 00:25:54

Discovery of the Regularity of the Prime Number

Authors: Toshiro Takami
Comments: 19 Pages.

I found a prime number theorem. All prime numbers except 2 and 3 are /sqrt(24a-23)=t . (a =positive integer, t =prime number) As an exception, 77 which is not a prime number comes up, but it seems to be treated as the only exception.
Category: General Mathematics

[6] viXra:1808.0191 [pdf] submitted on 2018-08-14 07:38:32

An Image for F(z)=ln(2z+tan z)

Authors: Edgar Valdebenito
Comments: 3 Pages.

This note presents an image related with the function f(z)=ln(2z+tan z).
Category: General Mathematics

[5] viXra:1808.0174 [pdf] submitted on 2018-08-13 06:51:14

Graphs of Some Functions and Their Behviour

Authors: Saikat Sarkar
Comments: 8 Pages.

Here i am representing some basic graphs of some known functions and their behaviour.
Category: General Mathematics

[4] viXra:1808.0158 [pdf] submitted on 2018-08-12 11:45:22

Perfect Cuboid

Authors: Radomir Majkic
Comments: 4 Pages.

There is no cuboid with all integer edges and face diagonals.
Category: General Mathematics

[3] viXra:1808.0105 [pdf] submitted on 2018-08-08 20:22:13

Linear Chromatic Tuning

Authors: Travis Keraly
Comments: 1 Page. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Using a simple pattern, a linear chromatic scale is revealed, beginning and ending with a perfect octave.
Category: General Mathematics

[2] viXra:1808.0092 [pdf] submitted on 2018-08-07 10:53:42

Refutation of Translation Invariance in Superposition Calculus

Authors: Colin James III
Comments: 1 Page. Copyright © 2018 by Colin James III All rights reserved. Respond to this author's email address: info@ersatz-systems dot com. (We instruct troll Mikko at Disqus to read the entire article twice before she starts typing.)

In superposition calculus, the property of translation invariance for A < B → XAY < XBY for all words A,B,X,Y as TCTT TCTT TCTT TTTT is not tautologous and hence refuted.
Category: General Mathematics

[1] viXra:1808.0005 [pdf] submitted on 2018-08-01 01:53:32

Infinite Magic Squares

Authors: Janne Hakkarainen
Comments: 2 Pages.

Magic squares have interested (recreational) mathematicians for hundreds, if not thousands, of years. But what would happen if the grid of a magic square would be infinite?
Category: General Mathematics