On the Algebraic Characteristics of Fuzzy Sub e-Groups. (20th October 2021)

• Record Type: Journal Article
• Authors: Bhunia, Supriya; Ghorai, Ganesh; Kutbi, Marwan Amin; Gulzar, Muhammad; Alam, Md Ashraful
• Other Names: Malik Sarfraz Nawaz Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-10-20
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5253346
• Languages: English
• ISSNs: 2314-8896

Abstract

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.