The laws of large numbers for fuzzy random variables

被引：12
|
作者：
Wu, HC [1 ]
机构：
[1] Natl Chi Nan Univ, Dept Informat Management, Puli 545, Nan Tou, Taiwan
来源：
FUZZY SETS AND SYSTEMS | 2000年 / 116卷 / 02期
关键词：
canonical fuzzy number; fuzzy real number; fuzzy random variable; convergence in probability; convergence with probability one;
D O I：
10.1016/S0165-0114(98)00414-X
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The new attempt of weak and strong law of large numbers for fuzzy random variables is discussed in this paper by proposing the convergence in probability and convergence with probability one for fuzzy random variables. We first consider the limit properties of fuzzy numbers by invoking the Hausdorff metric, and then we extend it to the convergence in probability and convergence with probability one for fuzzy random variables. We provide the notion of weak and strong convergence in probability and weak and strong convergence with probability one for fuzzy random variables. Finally we come up with the weak and strong law of large numbers for fuzzy random variables in weak and strong sense. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：245 / 262
页数：18
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