含模糊参量的一维模糊概率随机变量

One Dimension Fuzzy Probability Random Variable with Fuzzy Parameters

给出了分布列和密度函数含区间参量的一维区间概率随机变量和含模糊参量的一维模糊概率随机变量及它们的分布函数。

：Based on the classical probability theory and interval number theory, using the resolution theory and extension principle for fuzzy sets to research the mathematic description of random variables where the probability distribution sequence or probability density function includes interval/fuzzy parameters. The basic concepts and definitions of the distribution interval/fuzzy number function sequence and density interval/fuzzy number function are given. The definition of probability random variable with t interval/fuzzy parameters, the definition and calculating equations of interval/fuzzy value distribution function, the mathematical interval/fuzzy expectation and variance of the random variable are also given.