On fuzzy ωα - closed set in fuzzy topological spaces

Abstract

This paper introduced new classes of fuzzy sets in fuzzy topological spaces, namely, the class of fuzzy ωα -closed set and fuzzy ωα -open set by fuzzification of the ωα -closed set and fuzzy ωα -open set in Topology. Fuzzy ωα -open sets were used to define fuzzy pre g *-closed set. Lastly, some properties of the said fuzzy sets and its relationship to some existing class of fuzzy closed sets were proved.