t-Intuitionistic Fuzzification of Lagrange’s Theorem of t-Intuitionistic Fuzzy Subgroup

Abstract

In this study, we propose the concept of t-intuitionistic fuzzy order of an element of a tintuitionistic fuzzy subgroup (t-IFSG) of a finite group and examine different important algebraic properties of this phenomena. We also prove many useful algebraic aspects of this notion for a cyclic group. Moreover, we extend this ideology to define t-intuitionistic fuzzy order and index of a t-IFSG of group. In addition, we establish t-intuitionistic fuzzification of Langrange's theorem. INDEX TERMS t-intuitionistic fuzzy subgroup (t-IFSG), t-intuitionistic fuzzy order of an element of t-IFSG, t-intuitionistic fuzzy order of t-IFSG, t-intuitionistic fuzzy quotient group, index of t-IFSG.

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