Properties of a New Kind of Fuzzy Integral

As solve fuzzy differential equations drived by Liu process and prove its existence and uniqueness theorem,it seems very difficult to calculate or prove only by using the definition of fuzzy integral with respect to Liu process,thus it is necessary to study the properties of this type of fuzzy integral,in order to simplify the calculations and prove involved fuzzy integral,this paper introduces three conditions for the existence of fuzzy integral and three properties of this type of fuzzy integral.