测度贴近度及其集值统计估值

THE CLOSE DEGREE OF MEASURE AND STATISTICAL ESTIMATION OF SET VALUE

在定义模糊集上的测度的基础上。通过对随机集测度均值的讨论、定义了一个无穷论域上的贴近度──测度贴近度，为贴近度的计算提供了新的方法．充实了贴近度的定义形式。又根据模糊集与随机集落影的理论。给出了有严格理论基础和应用性较强的对贴近度进行集值统计的方法，并且证明了这种估计的一致性。

On the basis of the definition of measure degree for fuzzy sets, and through discussing the even measure degree value of random sets.close degree of measure is defined in infinite field. which provides a new method in calculating close degree.and perfects the definition form of close degree.According to the projection theory of fuzzy sets and random sets,a statistical method on set value of close degree is given.which has strictly theoretical basis and strong utilizationand the correspondency of estimation is also proved.