Membership Function And Statistical Evaluation Of Fuzzy Probability

In this paper,on the basis of fuzzy sets and random sets,a class of fuzzy set functions is given in the measurement space,and this function is proved to be a fuzzy measure.The nature of such fuzzy measures is discussed.The goodness of the estimation is obtained,and the relevant conclusions are extended to the probability space.The closeness of the measure is defined,and the estimation and goodness of the closeness of the measure are discussed.Finally,this paper discusses the special conditions such as normal distribution,on the membership function of convex fuzzy sets,I Fuzzy statistical estimation of the probability of fuzzy numbers,and the estimation of the closeness of two convex fuzzy sets.