On some algebraic aspects of η-intuitionistic fuzzy subgroups.

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