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386539

On L‑fuzzy closure operators and L‑fuzzy pre‑proximities

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Last updated: 05 Jan 2025

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Abstract

The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities,
L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We
show that there is a Galois correspondence between the category of separated L-fuzzy
closure spaces and that of separated L-fuzzy pre-proximity spaces and we give their
examples.

DOI

10.21608/joems.2021.386539

Keywords

Complete residuated lattice, L-fuzzy pre-proximity, L-fuzzy closure operators, L-fuzzy co-topologies, Galois correspondence

Authors

First Name

A. A.

Last Name

Ramadan

MiddleName

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Affiliation

Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt.

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First Name

E. H.

Last Name

Elkordy

MiddleName

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Affiliation

Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt.

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Orcid

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First Name

M. A.

Last Name

Usama

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Affiliation

Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt.

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Volume

29

Article Issue

1

Related Issue

50998

Issue Date

2021-01-01

Receive Date

2024-10-16

Publish Date

2021-01-01

Page Start

1

Page End

18

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 29_Issue 1_Pages 1-18.pdf

PDF . 3.1MB

Link

https://joems.journals.ekb.eg/article_386539.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386539

Order

386,539

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On L‑fuzzy closure operators and L‑fuzzy pre‑proximities

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Article

Created At

21 Dec 2024