Separation of fuzzy sets in fuzzy minimal spaces

This paper deals with the concepts of fuzzy minimal separation and fuzzy closed minimal separation. Some criterion for m-separatedness and Cm-separatedness of two fuzzy sets in a fuzzy minimal space are achieved. Further, it is shown that for any fuzzy sets C and D in Y, A × C and B × D are fuzzy m-separated (Cm-separated) in X × Y, if A and B are fuzzy m-separated (Cm-separated) sets in X. Moreover, c.A and c.B are fuzzy m-separated (Cm-separated) if and only if A and B are fuzzy m-separated (Cm-separated).