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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:
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
Descripción
Sumario: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.