Relationship Between L-Fuzzy Quasi-Proximity and L-Fuzzy Closure (Interior) Operators

Ahmed A. Ramadan ()
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Ahmed A. Ramadan: Department of Mathematics, Faculty of Science, Beni-Suef University Beni-Suef, Egypt

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 03, 813-833

Abstract: The main purpose of this paper is to study a new relationship among L-fuzzy quasi-proximity spaces, L-fuzzy closure spaces and L-fuzzy interior spaces and their properties are considered, where L is a complete residuated lattice. Moreover, the Galois connections between L-fuzzy quasi-proximity spaces, L-fuzzy closure spaces and L-fuzzy interior spaces are investigated. We present an example through fuzzy information system which confirms the feasibility of using the proposed approaches.

Keywords: Complete residuated lattice; L-fuzzy quasi-proximity; L-fuzzy closure operators; L-fuzzy interior operators (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S1793005724500431

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