On algebraic aspects of η-fuzzy subgroups

Author(s):

Muhammad Asghar , Khushdil Ahmad *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.
Keywords:

fuzzy subgroup , η-fuzzy subgroup , η-fuzzy coset , η-fuzzy normal subgroup

Language:
English
Published:
Journal of Fuzzy Extension and Applications, Volume:4 Issue: 2, Spring 2023
Pages:
65 to 80
https://www.magiran.com/p2595437