Chance Distribution of Fuzzy Random Variables and Laws of Large numbers

被引：0

作者：

Yang, Lixing ^{[1
]}

Li, Xiang ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, State Key Lab Rail Traff Control & Safety, Beijing 100044, Peoples R China

来源：

INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL | 2012年 / 15卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Fuzzy Random Variable; Chance Distribution; Continuity Theorem; Laws of Large Numbers;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The notion of fuzzy random variable is presented in a mathematical way to describe fuzzy random phenomenon in the real world. In this paper, the fuzzy random variable will be further investigated. After exploring the mathematical properties of chance measure, the concept of chance distribution tor fuzzy random variable is presented. The monotone convergence theorem and dominated convergence theorem for fuzzy random sequence are also proved. Finally, some laws of large numbers for fuzzy random variable are introduced.

引用

页码：3881 / 3893

页数：13

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