Document Type : Research Paper
1 Department of Mathematics, Government College University, Katechery Road, Lahore
2 Department of Mathematics, Government College University Lahore Katechery Road, Lahore
In this paper, we define the term of 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 η-fuzzy normal subgroup and quotient group with respect to the η-fuzzy normal subgroup and demonstrate some of their various group theoretical properties.