ON FUZZY ALMOST CONTINUOUS-FUNCTIONS

In this paper, we redefine the notions of delta-open fuzzy set, delta-closed fuzzy set, delta-adherent point of a fuzzy set and delta-closure of a fuzzy set. All the results pertaining to these notions (see Velicko [17]) are extended to fuzzy setting and several related characterizations of fuzzy almost continuous functions are obtained which are the counterparts of the corresponding results in general topological spaces [12]. Some more properties of fuzzy almost continuous functions are established. Subsequently a characterization of normal fuzzy topological spaces is also obtained. The notion of fuzzy almost quasi-compact mapping is introduced and its characterizations and relationship with fuzzy almost continuous functions are discussed.