Abstract
In this study, we presents the idea of -intuitionistic fuzzy subgroup (IFSG) defined on -intuitionistic fuzzy set (IFS). Furthermore, we prove that every IFSG is an -IFSG. Also, we extend the study of this notion to define -intuitionistic fuzzy cosets and -intuitionistic fuzzy normal subgroups of a given group and investigate some of their fundamental algebraic features. Besides, we define the -intuitionistic fuzzy homomorphism between two -IFSG’s and show that an -intuitionistic fuzzy homomorphic image (inverse image) of the -IFSG is an -IFSG.
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