International Journal of Neutrosophic Science

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation π‘ΏπŸ + π’€πŸ = π’πŸ

Abuobida M. A. Alfahal , Mohammad Abobala , Yaser Ahmad Alhasan , Raja Abdullah Abdulfatah

In this paper, we find necessary and sufficient conditions for a weak fuzzy complex integer triple (X,Y, Z) to be a pythagoras triple, and for an anti-weak fuzzy complex integer triple   to be a Pythagoras triple  (X,Y, Z), where we prove that the non-linear Fermat's Diophantine equation  has three different types of solutions according to the value of . All types will be solved and discussed in terms of theorems and examples that explains how the algorithms work

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Vol. 22 Issue. 2 PP. 08-14, (2023)

Pre-separation Axioms in Neutrosophic Topological Spaces

Sudeep Dey , Gautam Chandra Ray

In this article, we first establish a few relationships among neutrosophic interior, neutrosophic closure, neutrosophic pre-open sets, and neutrosophic pre-closed sets in single-valued neutrosophic topological spaces. Thereafter, we defined neutrosophic pre-  space, neutrosophic pre-  space, and neutrosophic pre-  space based on single-valued neutrosophic topological spaces and studied a few properties and relationships among them. We try to establish some relationships between existing neutrosophic separation axioms and newly defined neutrosophic pre-separation axioms. Finally, we study some hereditary properties of pre-separation axioms. Apart from these, we also explore some results implementing neutrosophic pre-open function, neutrosophic pre-continuous function, neutrosophic pre-irresolute function and neutrosophic pre -function based on our defined definitions.  

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Vol. 22 Issue. 2 PP. 15-28, (2023)

Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system

S. Sudha , B. Shoba , A. Rajkumar , Broumi Said

For addressing issues in several domains, such as theoretical computer science, engineering, physics, combinatorics, and the medical sciences, graph theory is a crucial component of mathematics. Graph coloring is one of the new settings that is emerging in a neutrosophic chromatic number environment. In addition to introducing the idea of bipolar triangular neutrosophic chromatic graphs (BTNCG), this work also examines and demonstrates the algebraic assumption. The proposed concept has been applied in a traffic signal system to discover a new lane to avoid traffic in peak hours.

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Vol. 22 Issue. 2 PP. 54-67, (2023)

Neutrosophic Near Algebra Over Neutrosophic Field

Bhurgula Harika , K. Rajani , P. Narasimha Swamy , T. Nagaiah , L. Bhaskar

This piece of paper aims to learn neutrosophic near algebra and neutrosophic sub near algebra. This paper is summarized with the suitable definitions and theorems of neutrosophic near algebra and neutrosophic sub near algebra. It has also been demonstrated that the direct product of neutrosophic near algebra is a neutrosophic near algebra and the intersection of neutrosophic sub near algebra is a neutrosophic near algebra on a neutrosophic field. It also examined the union of couple of neutrosophic near algebras is a neutrosophic near algebra.

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Vol. 22 Issue. 2 PP. 29-34, (2023)

An Approach To Symbolic n-Plithogenic Square Real Matrices For 9≀ n ≀12

Abuobida M. A. Alfahal , Barbara Charchekhandra , Raja Abdullah Abdulfatah , Yaser Ahmad Alhasan , Husain Alhayek

The concept of symbolic n-plithogenic algebraic matrices as symmetric structures with n+1 symmetric classical components with the special definition of the multiplication operation. This paper is dedicated to studying the properties of symbolic 10, and 9-plithogenic real square matrices and 11, 12-plithogenic real matrices from algebraic point of view, where algorithms for computing the eigenvalues and determinants will be proved. Also, the inverse of a symbolic n-plithogenic matrix for the special values n=10, n=9, n=11, and n=12 will be presented.

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Vol. 22 Issue. 2 PP. 35-53, (2023)

Study on Student’s Performance using Single Valued Decagonal Neutrosophic Number in Decision Making Problem

S. Gomathy , B. Shoba , A. Rajkumar , Broumi Said

This article presents a new single valued decagonal Neutrosophic number. The single valued decagonal Neutrosophic number is Deneutrosophicated with the help of bounded area method. The bounded area formula is derived. The single valued decagonal Neutrosophic number is used in the decision-making problem. The performance of students is analyzed using a ranking method. The attributes are taken from the problems related to students and teachers. The attributes are ranked through the single valued decagonal Neutrosophic number.

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Vol. 22 Issue. 2 PP. 68-77, (2023)