On the Algebraic Characteristics of Fuzzy Sub e-Groups-Reference-Cited by-同舟云学术

On the Algebraic Characteristics of Fuzzy Sub e-Groups

Published:2021-10-20 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Bhunia Supriya¹^ORCID,Ghorai Ganesh¹^ORCID,Kutbi Marwan Amin²^ORCID,Gulzar Muhammad³^ORCID,Alam Md Ashraful⁴^ORCID

Affiliation:

1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721 102, India

2. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

3. Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan

4. Department of Mathematics, Jahangirnagar University, Savar, Dhaka, Bangladesh

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.

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5253346.pdf

Reference28 articles.

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