Some results on fuzzy topology on fuzzy sets

Abstract The object of the present paper is to introduce several fundamental concepts in the context of fuzzy topology on fuzzy sets introduced by Chakrabarty and Ahsanullah [2]. The validity of some standard characterizations of fuzzy continuous proper functions have been examined. The concept of Hausdorffness, regularity, normality, complete normality, compactness, connectedness are introduced and some interesting results are obtained.