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Research Article | Open Access

Novel categorical relations between L-fuzzy co-topologies and L-fuzzy ideals

Ahmed Ramadan1, Anwar Fawakhreh2, Enas Elkordy1( )
Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt
Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia; foakhrh@qu.edu.sa
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Abstract

The goal of this paper is to construct novel relationships among L-fuzzy ideal, L-fuzzy co-topological, and L-fuzzy pre-proximity spaces in complete residuated lattices. We illustrate and prove four functors between the categories of those spaces and finally, we give examples.

Keywords

complete residuated latticeL-fuzzy idealL-fuzzy co-topological spaceL-fuzzy pre-proximityfunctors
CLC number: 03E72, 06A15, 06F07, 54A05, 54D05

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 20572-20587
DOI: 10.3934/math.2024999

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Cite this article:
Ramadan A, Fawakhreh A, Elkordy E. Novel categorical relations between L-fuzzy co-topologies and L-fuzzy ideals. AIMS Mathematics, 2024, 9(8): 20572-20587. https://doi.org/10.3934/math.2024999

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Received: 25 April 2024
Revised: 31 May 2024
Accepted: 13 June 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)