Limit theorems for sums of random fuzzy sets

被引：14
|
作者：
Dozzi, M [1 ]
Merzbach, F
Schmidt, V
机构：
[1] Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Nancy, France
[2] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel
[3] Univ Ulm, Dept Stochast, D-89069 Ulm, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 259卷 / 02期
关键词：
D O I：
10.1006/jmaa.2000.7428
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider limit theorems for counting processes generated by Minkowski sums of random fuzzy sets. Using support functions, we prove almost-sure convergence for a renewal process indexed by fuzzy sets in an inner-product vector space. We also get convergence for the associated containment renewal function. (C) 2001 Academic Press.
引用
收藏
页码：554 / 565
页数：12
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