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On $L$ $L$ -Fuzzy Preproximity Spaces and $L$ $L$ -Fuzzy Ideals

Ahmed A. Ramadan

https://orcid.org/0000-0002-6584-9238

Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

E-mail Address: ahmed.ramadan@science.bsu.edu.eg

Corresponding author.

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and

Anwar Jabor Fawakhreh

https://orcid.org/0000-0002-1985-3869

Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

E-mail Address: foakhrh@qu.edu.sa

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https://doi.org/10.1142/S1793005725500437Cited by:0 (Source: Crossref)

Abstract

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