摘要
在模糊集理论的一般讨论中,大多以交、并算子作为演算算子,但在一些实际问题中,有时需要用到别的演算算子.首先以最大乘积算子作为模糊集的演算算子,证明了最大乘积算子满足分配率.然后引入了模糊概率随机变量的独立性,给出了离散型模糊概率随机变量的数学期望性质的证明.最后根据离散型模糊概率随机变量的数学期望是一个模糊集,对离散型模糊概率随机变量的方差作出了一种新的定义,并对方差的性质进行了证明.Mathematical expectation and variance
Union and intersection are mostly used as computation operators in the theory of fuzzy sets,but some other computation operators are needed sometimes in solving practical problems.Max and product operators were firstly used as computation operators of fuzzy sets whose distributive law was proved.Then the independence of random variables with fuzzy probability(RVFP) was introduced,with the characters of mathematical expectation of discrete RVFP proved.A new definition of variance of the discrete RVFP was giv...
出处
《内蒙古科技大学学报》
CAS
2006年第3期296-298,共3页
Journal of Inner Mongolia University of Science and Technology
基金
国家自然科学基金资助项目(70271068)
内蒙古科技大学校内基金资助项目(KJ20062)
关键词
模糊概率
随机变量
数学期望
方差
fuzzy probability
random variable
mathematical expectation
variance
