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383723

Intuitionistic fuzzy relations compatible with the group Zn

Article

Last updated: 29 Dec 2024

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Abstract

In this paper, we define the compatibility of finite intuitionistic fuzzy relations with
the group Zn and prove some of their fundamental properties. We show that some
compositions of Zn-compatible intuitionistic fuzzy relations are also Zn-compatible
intuitionistic fuzzy relation. Also, from any given finite intuitionistic fuzzy relation ρ,
we can construct two intuitionistic fuzzy relations denoted by ρL and ρU which are
compatible with Zn. We have also provided some examples to clarify the notions
and results.

DOI

10.1186/s42787-019-0053-6

Keywords

Intuitionistic fuzzy relations, Fuzzy relations, Compatible fuzzy relations

Authors

First Name

E.

Last Name

Emam

MiddleName

G.

Affiliation

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-03

Publish Date

2019-12-01

Page Start

1

Page End

14

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_383723.html

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https://joems.journals.ekb.eg/service?article_code=383723

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383,723

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Intuitionistic fuzzy relations compatible with the group Zn

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Article

Created At

21 Dec 2024