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On the Algebraic Characteristics of Fuzzy Sub e-Groups.
- Source :
- Journal of Function Spaces; 10/20/2021, p1-7, 7p
- Publication Year :
- 2021
-
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]
- Subjects :
- FUZZY sets
SOFT sets
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Complementary Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 153126234
- Full Text :
- https://doi.org/10.1155/2021/5253346