Beals Fuzzy Set and its Application in Group Theory

In this paper, we establish the idea of Beal’s fuzzy set (BFS) and study the concept of Beal’s fuzzy abelian subgroups, Beal’s fuzzy normal subgroups, Centralizer, Normalizer and Beal’s fuzzy cyclic subgroups. we obtain those concepts instead of various product of Beal’s fuzzy set. Finally, homomorphic images and pre-images of Beal’s fuzzy sets are established

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Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2025-03-04
DOI
https://doi.org/10.52783/anvi.v28.4424
Primary Topic
Fuzzy Logic and Control Systems
Type
article
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0.00
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article

Beals Fuzzy Set and its Application in Group Theory

K. Balasubramaniyan
Advances in Nonlinear Variational Inequalities
Fuzzy Logic and Control Systems
article

Beals Fuzzy Set and its Application in Group Theory

K. Balasubramaniyan
article en

Abstract

In this paper, we establish the idea of Beal’s fuzzy set (BFS) and study the concept of Beal’s fuzzy abelian subgroups, Beal’s fuzzy normal subgroups, Centralizer, Normalizer and Beal’s fuzzy cyclic subgroups. we obtain those concepts instead of various product of Beal’s fuzzy set. Finally, homomorphic images and pre-images of Beal’s fuzzy sets are established

Advances in Nonlinear Variational InequalitiesVol. 28(6s)
Openalex Percentile: Top 97%
Fuzzy Logic and Control Systems
DOIOpen Access PDFOpenAlex
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Beals Fuzzy Set and its Application in Group Theory — K. Balasubramaniyan · Advances in Nonlinear Variational Inequalities (2025) | TGRS Research Map | TGRS