• ON GENERALIZATION OF S-CLOSEDNESS FOR FUZZY TOPOLOGICAL SPACES THROUGH FUZZY IDEALS

Abstract

The paper deals with the concept of fuzzy _S–closedness in the generalized setting of a fuzzy topological spaces . Fuzzy _S–closedness is shown to be a generalization of the well known concept of fuzzy S–closedness defined by D. Coker and A. Haydar Es in 1987. Fuzzy filter-base () is used to characterize the said concept to some extent. Concept of – (finite intersection property modulo ) is used to characterize and study the concept of fuzzy _S–closedness for fuzzu extremally disconnected (FED) spaces. Restriction of the notion of fuzzy _S–closedness to the arbitrary fuzzy sets in and invariance of the property under suitable maps are also taken into consideration.