On some algebraic aspects of η-intuitionistic fuzzy subgroups

Abstract

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