Strong limit theorems for random sets and fuzzy random sets with slowly varying weights

被引：9
|
作者：
Fu, Ke-ang [1 ]
Zhang, Li-xin [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
INFORMATION SCIENCES | 2008年 / 178卷 / 12期
基金：
中国国家自然科学基金;
关键词：
random set; fuzzy random set; slowly varying weights; Hausdorff distance; dependence;
D O I：
10.1016/j.ins.2008.01.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Theories of random sets and fuzzy random sets are useful concepts which are frequently applied in scientific areas including information science, probability and statistics. In this paper strong limit theorems are derived for random sets and fuzzy random sets with slowly varying weights in separable Banach spaces. Both independent and dependent cases are covered to provide a wide range of applications. (C) 2008 Elsevier Inc. All rights reserved.
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页码：2648 / 2660
页数：13
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