Topological group structure of neutrosophic set

Sumathi, I. R.; Arockiarani, I.

doi:10.20454/jast.2016.1003

Cited by 6 publications

(4 citation statements)

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“…Its theories and applications have been rapidly explored by scholars and researchers in various research domains. Sumathi and Arockiarani [2] studied the notion of neutrosophic normal subgroup and neutrosophic topological groups. Patro and Smarandache [3] presented neutrosophic statistics versions of binomial and normal distributions.…”

Section: Introductionmentioning

confidence: 99%

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Awang

Ali

2019

IEEE Access

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This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets. The proposed set generalizes the notions of fuzzy set, intuitionistic fuzzy set, hesitant fuzzy set, single-valued neutrosophic set, single-valued neutrosophic hesitant fuzzy set, bipolar fuzzy set and bipolar neutrosophic set. Further, we define the basic operational laws, union, intersection and complement for hesitant bipolar-valued neutrosophic elements (HBVNEs) and study its associated properties. Some relevant examples are also given to provide a better understanding of the proposed concept. Two aggregation operators are developed based on HBVNS which are the hesitant bipolarvalued neutrosophic weighted averaging (HBVNWA) and the hesitant bipolar-valued neutrosophic weighted geometric (HBVNWG). A decision making method is developed based on new sets and the proposed HBVNWA and HBVNWG operators. Finally, an illustrative example is given to show the applicability of the proposed decision making method. A comparative analysis with the existing methods is also provided.

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Section: Introductionmentioning

confidence: 99%

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Awang

Ali

2019

IEEE Access

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“…= 𝐼 ; 𝑛 being a positive integer. Sumathi and Arockiarani (2014) introduced new operations for fuzzy neutrosophic soft matrices. Uma et al (2017) have introduced the determinant and adjoint of square fuzzy neutrosophic soft matrices.…”

Section: Introductionmentioning

confidence: 99%

Determinant of a Neutrosophic Matrix

Alabdullah,

Aouira

2023

BAS-SJKFU

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In this paper, we study some properties of the determinant of a neutrosophic matrix. Also, we prove that |A.adj(A)|=|A|=|adj(A).A| and define the matrices A_((p_1…p_m |q_1…q_m))and A_((p→q)). Further, a method is presented for calculating the determinant of a neutrosophic matrix that has a large number of columns and rows. KEYWORDS adjoint, identity neutrosophic matrix, permutation, principal submatrix, transpose, triangular NM

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“…In recent year, Agboola et al studied many neutrosophic algebraic concept as "neutrosophic group" and "neutrosophic ring" in [16,17], and presented refined neutrosophic groups. Also, Sumathi et al in [18] defined the concept of "neutrosophic topological groups". After this study, R. Al-Hamido, in 2021, in [19] studied neutrosophic bi-topological groups, and investigate its basic properties.…”

Section: Introductionmentioning

confidence: 99%

A New Neutrosophic Algebraic Structures

Al-Hamido¹

2022

JCCE

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A new approach of neutrosophic algebraic structure are discussed in the work, which will open the door in front of researchers to new research about neutrosophic algebraic structure. In this work, we define new neutrosophic groupoid (semigroup, monoid) and new neutrosophic subgroupoid(subsemigroup, submonoid) in a new way which is more natural than the previous versions and we discuss some properties of this new neutrosophic concepts. Also we discuss the relationship of new neutrosophic algebraic structures with other classical neutrosophic algebraic structure and prove some results. Finally, we introduced a new NeutroGroupoid and new NeutroSemiGroup.

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Topological group structure of neutrosophic set

Cited by 6 publications

References 0 publications

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Determinant of a Neutrosophic Matrix

A New Neutrosophic Algebraic Structures

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