A Certain Class of t-Intuitionistic Fuzzy Subgroups

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.