Generalised Fuzzy Continuous Maps in Fuzzy Topological Spaces

Abstract

The study of continuity and its weaker forms constitutes an established branch of investigation in general topological spaces. Recently some researchers have tried to extend these studies to the broader framework of fuzzy topological spaces. N. Ajmal proposed a theory of localization in the study of continuity and its weaker forms in fuzzy setting. Using two notions of membership of a fuzzy point to a fuzzy set, neighborhood structure of fuzzy point and quasineighborhood structure of a fuzzy point, an investigation of fuzzy continuity, fuzzy alfa- continuity, fuzzy beta- continuity functions, and fuzzy almost quasi continuous functions have been carried out in the present study. The purpose of this paper is to introduce and study the concepts of generalized fuzzy continuous maps, which includes the class of fuzzy continuous maps. Keywords - Mathematics, Fuzzy Topology, Fuzzy Topological Spaces, Fuzzy Continuous Maps, Andhra Pradesh, India