正态分布概率区间模糊数及测度问题

Probability Interval Fuzzy Number of Normal Distribution and Its Measurement

针对模糊元素的隶属度具有不同程度的重要性,结合概率分布,定义了正态分布概率区间模糊集与正态分布概率区间模糊数,进一步给出了正态分布概率区间模糊数的并、交、补运算及其运算性质.为研究决策问题,定义了正态分布概率区间模糊数的相似测度和距离测度,并研究其性质.

According to the importance of membership degree of fuzzy elements in different degrees,combined with probability distribution,probability interval fuzzy set of normal distribution and probability interval fuzzy number of normal distribution are defined.Furthermore,the union,intersection and complement operations of probability interval fuzzy number of normal distribution and their properties are given.In order to study decision-making problems,the similarity measure and distance measure of probability interval fuzzy number of normal distribution are defined,and their properties are studied.