Separability for graph convergence of sequences of fuzzy-valued random variables

被引：18

作者：

Ogura, Y

Li, SM

机构：

[1] Beijing Polytech Univ, Dept Appl Math, Beijing 100022, Peoples R China

[2] Saga Univ, Dept Math, Saga 8408502, Japan

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 123卷 / 01期

关键词：

set-valued random variable; fuzzy-valued random variable; the Kuratowski-Mosco convergence; the Hausdorff convergence; convergence in graph;

D O I：

10.1016/S0165-0114(00)00092-0

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We prove that the graph convergence in Hausdorff metric or Kuratowski-Mosco topology of a sequence of fuzzy sets follows from the convergence of the sequences of the level sets for countable dense levels. As an application, we give a strong law of large numbers for fuzzy-valued random variables, including the case when the level sets may not be bounded. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：19 / 27

页数：9

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