On gp -closed Fuzzy Sets and Fuzzy gμ -irresolute Mappings in Fuzzy Topological Spaces

摘要

The aim of this paper is to introduce a new class of fuzzy sets, namely gμ -closed fuzzy sets for fuzzy topological spaces. This new class is properly lies between the class of closed fuzzy sets and the class of g -closed fuzzy sets. We also introduce and study some new spaces, namely fuzzy cT gu -spaces, fuzzy gT gμ -spaces, as applications of gμ -closed fuzzy sets, the concept of fuzzy gμ -continuous, fuzzy gμ -irresolute mappings, fuzzy gμ-closed maps, fuzzy gμ -open maps and fuzzy gμ -homeomorphism in fuzzy topological spaces are also introduced, studied and some of there properties are obtained.