Application of t-intuitionistic fuzzy subgroup to Sylow theory

In this paper, we define the notion of a t-intuitionistic fuzzy conjugate element and determine the t-intuitionistic fuzzy conjugacy classes of a t-intuitionistic fuzzy subgroup. We propose the idea of a t-intuitionistic fuzzy [Formula: see text] subgroup and prove the t-intuitionistic fuzzy version...

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Detalles Bibliográficos
Autores principales: Latif, Laila, Shuaib, Umer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10559215/
https://www.ncbi.nlm.nih.gov/pubmed/37810160
http://dx.doi.org/10.1016/j.heliyon.2023.e19822
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author Latif, Laila
Shuaib, Umer
author_facet Latif, Laila
Shuaib, Umer
author_sort Latif, Laila
collection PubMed
description In this paper, we define the notion of a t-intuitionistic fuzzy conjugate element and determine the t-intuitionistic fuzzy conjugacy classes of a t-intuitionistic fuzzy subgroup. We propose the idea of a t-intuitionistic fuzzy [Formula: see text] subgroup and prove the t-intuitionistic fuzzy version of the Cauchy theorem. In addition, we present the idea of a t-intuitionistic fuzzy conjugate subgroup and investigate various fundamental algebraic characteristics of this notion. Furthermore, we provide the idea of the t-intuitionistic fuzzy Sylow [Formula: see text] subgroup and prove the t-intuitionistic fuzzification of Sylow's theorems.
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spelling pubmed-105592152023-10-08 Application of t-intuitionistic fuzzy subgroup to Sylow theory Latif, Laila Shuaib, Umer Heliyon Research Article In this paper, we define the notion of a t-intuitionistic fuzzy conjugate element and determine the t-intuitionistic fuzzy conjugacy classes of a t-intuitionistic fuzzy subgroup. We propose the idea of a t-intuitionistic fuzzy [Formula: see text] subgroup and prove the t-intuitionistic fuzzy version of the Cauchy theorem. In addition, we present the idea of a t-intuitionistic fuzzy conjugate subgroup and investigate various fundamental algebraic characteristics of this notion. Furthermore, we provide the idea of the t-intuitionistic fuzzy Sylow [Formula: see text] subgroup and prove the t-intuitionistic fuzzification of Sylow's theorems. Elsevier 2023-09-09 /pmc/articles/PMC10559215/ /pubmed/37810160 http://dx.doi.org/10.1016/j.heliyon.2023.e19822 Text en © 2023 The Authors https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Research Article
Latif, Laila
Shuaib, Umer
Application of t-intuitionistic fuzzy subgroup to Sylow theory
title Application of t-intuitionistic fuzzy subgroup to Sylow theory
title_full Application of t-intuitionistic fuzzy subgroup to Sylow theory
title_fullStr Application of t-intuitionistic fuzzy subgroup to Sylow theory
title_full_unstemmed Application of t-intuitionistic fuzzy subgroup to Sylow theory
title_short Application of t-intuitionistic fuzzy subgroup to Sylow theory
title_sort application of t-intuitionistic fuzzy subgroup to sylow theory
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10559215/
https://www.ncbi.nlm.nih.gov/pubmed/37810160
http://dx.doi.org/10.1016/j.heliyon.2023.e19822
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