模糊二阶矩过程及均方收敛性  

Fuzzy Second Moment Process and Some Properties of Mean Square Convergence

作　　者：王小胜[1] 郭海英[1] 

机构地区：[1]河北工程大学理学院,河北邯郸056038

出　　处：《模糊系统与数学》2010年第6期117-122,共6页Fuzzy Systems and Mathematics

基　　金：河北省自然科学基金资助项目(F2010001044)

摘　　要：基于可信性测度,定义了新的模糊二阶矩过程,证明了该二阶矩过程存在方差函数和协方差函数。对于在可信性空间(Θ,∏(Θ),Cr)上具有二阶矩的模糊变量集合H,证明了其对通常的线性运算封闭,并在H中研究了模糊均方收敛的必要条件和充分条件。最后讨论了模糊均方收敛的若干性质。Based on credibility measure,a new fuzzy second moment process is defined and is proved to have the variance function and covariance function.The set H,all fuzzy variables with second moment in the credibility space（Θ,∏（Θ）,Cr）,is proved to be a closed system for general liner computation.After that,we present a necessary and sufficient condition of mean square convergence for fuzzy variable sequence.Finally,some properties of fuzzy mean square convergence are presented.

关 键 词：可信性测度 模糊变量 二阶矩过程 均方收敛 

分 类 号：O211[理学—概率论与数理统计] TP18[理学—数学]