Compactness in fuzzy minimal spaces

The purpose of this paper is devoted to generalize the concept of fuzzy compactness. In fact we have introduce the concept of fuzzy (countably) compactness in fuzzy minimal spaces and some related basic results in these new setting are given. Further, some results of fuzzy compactness for fuzzy topological spaces are achieved. For example, it is shown that (X,M) is fuzzy m-compact if and only if every fuzzy m-open cover of it has a finite 0-partition. Furthermore, every fuzzy m − CII space is a fuzzy m-Lindelof space.