A certain class of T-intuitionistic fuzzy subgroups

Abstract

In this study, the T-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The T-intuitionistic fuzzy centralizer is normal subgroup of T-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of T-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every T-intuitionistic fuzzy subgroup of Abelian (cyclic) group is T-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of T-intuitionistic fuzzy Abelian (cyclic) subgroup are T-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism.