The Relation between Fuzzy Soft Set and Integrative Fuzzy Set

Fuzzy set can be divided into single parameter or multi-parameter's ones with which to depict their fuzzy attributes. In references, it is usual defined in a single parameter universe and yet multi-parameter's ones often appears in so-called fuzzy relation. Fuzzy soft set can be used to describe a fuzzy object by aggregating fuzzy parameters in different attributes. Fuzzy set can be employed to do the same things. It can be concluded that there must be a certain relation between the two concepts. And to give the relation, integrative fuzzy set is proposed in this paper. And which can be decomposed into a fuzzy soft set under certain condition. Fuzzy soft set also can be translated into an integrative fuzzy set by some operator. Both of them can be used for decision making. Theoretical analysis and examples show the optimal decision-making results are equivalent.