Journal of Fuzzy Extension and Applications (Jun 2023)
On algebraic aspects of η-fuzzy subgroups
Abstract
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.
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