The concept of fuzzy set and fuzzy set operations were first introduced By L. A. Zadeh in 1965[ ] . After Zadeh s introduction of fuzzy sets , Chang [ ] defined and studied the notion of fuzzy topological space in 1968 .Since then, much attention has been paid to generalize the basic concepts of classical topology in fuzzy setting and thus a modern theory of fuzzy topology has been developed .
Throughout this paper (X,T) (or simply X) , we shall mean a fuzzy topological spaces (fts , for short) in chang’s [6] sense .A fuzzy point [8] with support x?X and value ? (0 ? ? ? 1) at x?X will be denoted by x? , and for fuzzy set A , x? ?A if and only if ? ? A(x) .For two fuzzy sets A and B , we shall write AqB to mean that A is quasi?coincident (q? coincident, for short) with B , i.e., there exists x?X such that A(x) + B(x) ? 1 [13] , and B is said to be a q?neighborhood (q?nbd , for short) of A if there is a fuzzy open set U with AqU? B .If A is not q?coincident with B , then we write A ?q B . For a fuzzy set A in a fts X , cl(A) , Int(A) , Ac (or 1X?A)denote the closure , interior , complement of A , respectively . By 0X and 1X