On Ψ -closed Fuzzy Sets and Fuzzy Ψ -irresolute Maps in Fuzzy Topological Spaces

摘要

In this paper, the class of Ψ -closed fuzzy sets are introduced. This class properly fits between the class of closed fuzzy sets and the class of gs-closed fuzzy sets in fuzzy topological spaces. Further, the concept of fuzzy Ψ -continuous, fuzzy Ψ -irresolute mappings, fuzzy Ψ -closed maps, fuzzy Ψ -open maps and fuzzy Ψ -homeomorphism in fuzzy topological spaces are also introduced, studied and some of their properties are obtained