摘要
本文在文献[1]的基础上,引入了模糊随机变量独立性和收敛性的定义,并对其有关性质进行了讨论;给出了模糊随机变量变换的可能性分布函数的求法;最后在多维模糊超可测空间的基础上定义了多维模糊随机集,并以严格正规多维模糊随机集作为变量取值的限制,给出了模糊随机向量的定义,讨论了其某些概率特征.
On the basis of[1],the concepts of independence and convergence of fuzzy ran-dom variable are defined in this paper and some fundamental properties are given.The possibility distribution function of transformation of a fuzzy random variable isalso studied.In the end,based on the fuzzy super measurable space,a fuzzy ran-dom set is defined.By taking the strict normal fuzzy random set as the restriction ofa random vector,a new fuzzy random vector is introduced and some of its fuzzyprobabilistic characteristics are also discussed.
基金
国家自然科学基金
关键词
模糊
随机变量
收敛
独立性
Independence
convergence
random variable
fuzzy random vector
