Laws of large numbers for weighted sums of fuzzy set-valued random variables

被引：1
|
作者：
Li, G [1 ]
Li, SM [1 ]
机构：
[1] Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2004年 / 12卷 / 06期
基金：
中国国家自然科学基金;
关键词：
fuzzy set-valued random variables; law of large numbers; extended Hausdorff metric d(H)(infinity); stochastically dominated random elements;
D O I：
10.1142/S0218488504003223
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we shall present weak and strong laws of large numbers (WLLN's and SLLN's) for weighted sums of independent (not necessarily identically distributed) fuzzy set-valued random variables in the sense of the extended Hausdorff metric d(H)(infinity), based on the result of set-valued random variable obtained by Taylor and Inoue(32,33). This work is a continuation of Li and Ogura(20).
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页码：811 / 825
页数：15
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