# On some algebraic aspects of η-intuitionistic fuzzy subgroups

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بحث أصيل
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The Journal of Taibah University for Science
ملخص المنشورات

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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.