On C̆ech L-fuzzy Rough Proximity Spaces

Reham M. Ahmed (), Ahmed A. Ramadan () and Abd El Fattah El Atik ()
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Reham M. Ahmed: Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Ahmed A. Ramadan: Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Abd El Fattah El Atik: ��Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 03, 785-806

Abstract: The aim of this paper is to study the relationship between the category of C̆ech L-fuzzy rough proximity spaces and the category of C̆ech L-fuzzy interior spaces which based on rough set models. In particular, we obtain some interesting adjunctions between the considered categories. Also, we give some examples. Moreover, we introduce L-fuzzy rough grills and discuss some of their properties.

Keywords: L-fuzzy rough proximities; L-fuzzy rough interior space; L-fuzzy rough grills (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S1793005725500371

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