The Research Of Integral On Fuzzy Sets

In this paper,The main contents is the intergration on the fuzzy sets, the divisionof fuzzy sets in Literature [37] is a good breakthrough, through the establishment ofs-valued function, it gets some conclusions through the Further Discussion offuzzy-valued Integration and gives several classical integral inequalities of thefuzzy-valued integral form. With this idea, it is a continuation that the complex–valuefunction's intergration on fuzzy set is established. we also discusses the division oftwo-dimensional fuzzy set, and the real value function's intergration on thetwo-dimensional fuzzy sets. As distinction between the collection of fuzzy sets andthe classic membership, the establishment of two-dimensional product measure isfocus and difficulties.In this paper,we give the definition of two-dimensional productmeasure though the improved cartesian product, and lay the foundation for theestablishment of the multiple integral.