On L-Fuzzy Preproximity Spaces and L-Fuzzy Ideals

Ahmed A. Ramadan and Anwar Jabor Fawakhreh ()
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Ahmed A. Ramadan: Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Anwar Jabor Fawakhreh: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 03, 867-886

Abstract: In this work, our interest is restricted to study the links among L-fuzzy pre-proximity spaces and L-fuzzy ideals. We also show that there is a Galois correspondence between the categories of stratified L-fuzzy ideals and L-fuzzy pre-proximity spaces. Finally, we establish the relationship between L-fuzzy prime ideal spaces and L-fuzzy co-topological spaces.

Keywords: L-fuzzy preproximity; L-fuzzy ideals; L-fuzzy co-topology; fuzzy logic; functors (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S1793005725500437

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