%0 Journal Article %T On algebraic aspects of η-fuzzy subgroups %J Journal of Fuzzy Extension and Applications %I Research Expansion Alliance (REA) on behalf of Ayandegan Institute of Higher Education %Z 2783-1442 %A Asghar, Muhammad Waseem %A Ahmad, Khushdil %D 2023 %\ 06/01/2023 %V 4 %N 2 %P 65-80 %! On algebraic aspects of η-fuzzy subgroups %K fuzzy subgroup %K η-fuzzy subgroup %K η-fuzzy coset %K η-fuzzy normal subgroup %R 10.22105/jfea.2023.371356.1237 %X In this paper, we define the term " η-fuzzy subgroup" and show that every fuzzy subgroup is a η-fuzzy subgroup. We define some of the algebraic properties of the concept of η-fuzzy cosets. Furthermore, we initiate the study of the η-fuzzy normal subgroup and the quotient group with respect  to the η-fuzzy normal subgroup and demonstrate some of their various group theoretical properties. %U https://www.journal-fea.com/article_166554_7fbe45136c2be522bbc93a5ed03e511e.pdf