Categories of L -Fuzzy ?ech Closure Spaces and L -Fuzzy Co-Topological Spaces

Irina Perfilieva, Ahmed A. Ramadan and Enas H. Elkordy
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Irina Perfilieva: Centre of Excellence IT4Innovations, Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30.dubna, 70200 Ostrava, Czech Republic
Ahmed A. Ramadan: Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt
Enas H. Elkordy: Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt

Mathematics, 2020, vol. 8, issue 8, 1-14

Abstract: Recently, fuzzy systems have become one of the hottest topics due to their applications in the area of computer science. Therefore, in this article, we are making efforts to add new useful relationships between the selected L -fuzzy (fuzzifying) systems. In particular, we establish relationships between L -fuzzy (fuzzifying) ?ech closure spaces, L -fuzzy (fuzzifying) co-topological spaces and L -fuzzy (fuzzifying) approximation spaces based on reflexive L -fuzzy relations. We also show that there is a Galois correspondence between the categories of these spaces.

Keywords: residuated lattice; L -fuzzy ?ech closure space; L -fuzzy co-topological space; degree of LF -continuity; Galois correspondence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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