1. On the Algebraic Characteristics of Fuzzy Sub e-Groups.
- Author
-
Bhunia, Supriya, Ghorai, Ganesh, Kutbi, Marwan Amin, Gulzar, Muhammad, and Alam, Md Ashraful
- Subjects
FUZZY sets ,SOFT sets - Abstract
Fuzzy set is a modern tool for depicting uncertainty. This paper introduces the concept of fuzzy sub e-group as an extension of fuzzy subgroup. The concepts of identity and inverse are generalized in fuzzy sub e-groups. Every fuzzy subgroup is proven to be a fuzzy sub e-group, but the converse is not true. Various properties of fuzzy sub e-groups are established. Moreover, the concepts of proper fuzzy sub e-group and super fuzzy sub e-group are discussed. Further, the concepts of fuzzy e-coset and normal fuzzy sub e-group are presented. Finally, we describe the effect of e-group homomorphism on normal fuzzy sub e-groups. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF