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随机模糊集及其落影大数定理
引用本文:罗承忠.随机模糊集及其落影大数定理[J].模糊系统与数学,1992,6(2):93-102.
作者姓名:罗承忠
作者单位:北京师范大学
摘    要:本文给出随机模糊集的定义,并证明了随机模糊集的落影大数定理,为模糊集值统计提供了理论依据。

关 键 词:随机模糊集  落影函数  落影大数定理  超滤

Random Fuzzy Sets and the Theorem of Great Numbers of Fall-Shadow
Luo Chengzhong.Random Fuzzy Sets and the Theorem of Great Numbers of Fall-Shadow[J].Fuzzy Systems and Mathematics,1992,6(2):93-102.
Authors:Luo Chengzhong
Institution:Beijing Normal University
Abstract:The definition of random sets and the theorem of great numbers of fall-shadow about random sets had been given by Wang Pei-Zhang. This paper gives the definition of random fuzzy sets. It has proved the theorem of great numbers of fall-shadow about random fuzzy sets. This theorem provides the reason for fuzzy set-valued statistics.
Keywords:Fuzzy set-valued statistics  Random fuzzy sets  Fallshadow function  The theorem of great numbers of fall-shadow
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