Fuzzy Random Variables: A Scalar Expected Value Operator

被引：137
|
作者：
Yian-Kui Liu
Baoding Liu
机构：
[1] Tsinghua University,Department of Mathematical Sciences
来源：
Fuzzy Optimization and Decision Making | 2003年 / 2卷 / 2期
关键词：
fuzzy variable; fuzzy random variable; expected value operator; law of large numbers;
D O I：
10.1023/A:1023447217758
中图分类号：
学科分类号：
摘要：
Fuzzy random variable has been defined in several ways in literature. This paper presents a new definition of fuzzy random variable, and gives a novel definition of scalar expected value operator for fuzzy random variables. Some properties concerning the measurability of fuzzy random variable are also discussed. In addition, the concept of independent and identically distributed fuzzy random variables is introduced. Finally, a type of law of large numbers is proved.
引用
收藏
页码：143 / 160
页数：17
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