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Some classes of fuzzy sets in a generalized fuzzy topological spaces and certain unifications. (English) Zbl 1304.54019

Summary: The paper deals basically with a kind of generalized fuzzy closed sets and the corresponding fuzzy open-like sets in a generalized fuzzy topological space. The motive behind such an investigation is to present a unified approach towards different earlier studies concerning many types of such generalized open-like fuzzy sets. Two fuzzy separation axioms viz. regularity and normality are also introduced and studied in our setting, which yield many characterizations and properties of similar separation axioms in different particular settings.

MSC:

54A40 Fuzzy topology
54C08 Weak and generalized continuity
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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