On the Algebraic Characteristics of Fuzzy Sub e-Groups

Supriya Bhunia; Ganesh Ghorai; Marwan Amin Kutbi; Muhammad Gulzar; Md Ashraful Alam

doi:10.1155/2021/5253346

On the Algebraic Characteristics of Fuzzy Sub e-Groups

Supriya Bhunia, Ganesh Ghorai, Marwan Amin Kutbi, Muhammad Gulzar, Md Ashraful Alam^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English
Article number	5253346
Journal	Journal of Function Spaces
Volume	2021
DOIs	https://doi.org/10.1155/2021/5253346
State	Published - 2021
Externally published	Yes

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Publisher Copyright:
© 2021 Supriya Bhunia et al.

ASJC Scopus subject areas

Analysis

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10.1155/2021/5253346

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title = "On the Algebraic Characteristics of Fuzzy Sub e-Groups",

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.",

author = "Supriya Bhunia and Ganesh Ghorai and Kutbi, \{Marwan Amin\} and Muhammad Gulzar and Alam, \{Md Ashraful\}",

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AU - Bhunia, Supriya

AU - Ghorai, Ganesh

AU - Kutbi, Marwan Amin

AU - Gulzar, Muhammad

AU - Alam, Md Ashraful

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85118793078

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DO - 10.1155/2021/5253346

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VL - 2021

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 5253346

ER -

On the Algebraic Characteristics of Fuzzy Sub e-Groups

Abstract

Bibliographical note

ASJC Scopus subject areas

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