连续性定理与随机模糊变量的机会分布

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-09-08 DOI:10.1098/rspa.2004.1280

Yuanguo Zhu, Baoding Liu

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引用次数: 29

摘要

随机模糊变量是一个从可能性空间到随机变量集合的函数。本文研究了随机模糊变量的一些数学性质。首先，给出了随机模糊事件的机会测度的一些性质。然后，研究了随机模糊序列的几个连续性定理。进一步提出了随机模糊变量的机会分布的概念，得到了机会分布的一些性质。

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Continuity theorems and chance distribution of random fuzzy variables

A random fuzzy variable is a function from a possibility space to the set of random variables. In this paper, some mathematical properties of a random fuzzy variable are studied. First, some properties of chance measure of random fuzzy events are given. Then, several continuity theorems for random fuzzy sequences are investigated. Furthermore, the concept of chance distribution for a random fuzzy variable is presented, and some properties of chance distribution are obtained.

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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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