Chance distribution of fuzzy random variables and laws of large numbers

Lixing Yang; Xiang Li

Chance distribution of fuzzy random variables and laws of large numbers

Lixing Yang^*
, Xiang Li

^*Corresponding author for this work

Beijing Jiaotong University

Research output: Contribution to journal › Article › peer-review

Abstract

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 for 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.

Original language	English
Pages (from-to)	3881-3893
Number of pages	13
Journal	Information
Volume	15
Issue number	10
Publication status	Published - Oct 2012
Externally published	Yes

Keywords

Chance distribution
Continuity theorem
Fuzzy random variable
Laws of large numbers

Cite this

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title = "Chance distribution of fuzzy random variables and laws of large numbers",

abstract = "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 for 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.",

keywords = "Chance distribution, Continuity theorem, Fuzzy random variable, Laws of large numbers",

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AU - Li, Xiang

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AB - 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 for 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.

KW - Chance distribution

KW - Continuity theorem

KW - Fuzzy random variable

KW - Laws of large numbers

UR - https://www.scopus.com/pages/publications/84865530209

M3 - Article

AN - SCOPUS:84865530209

SN - 1343-4500

VL - 15

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EP - 3893

JO - Information

JF - Information

IS - 10

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Chance distribution of fuzzy random variables and laws of large numbers

Abstract

Keywords

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