On *gs-open Fuzzy Sets and Fuzzy *gs -irresolute Mappings in Fuzzy Topological Spaces

摘要

The aim of this paper is not introduce a new class of fuzzy sets, namely *gs -closed fuzzy sets for fuzzy topological spaces. This class is obtained by generalizing g -open fuzzy sets via- g -open fuzzy sets. This new class is properly placed between the class of g * -closed fuzzy sets and the class of g -closed fuzzy sets. We also introduce and study fuzzy gT~(1/2)* -spaces. Further, the concept of fuzzy *gs -continuous, fuzzy *gs -irresolute mappings, fuzzy *gs -closed maps, fuzzy *gs -open maps and fuzzy *gs -homeomorphism in fuzzy topological spaces are also introduced, studied and some of there properties are obtained.