Compactness and convexity on the space of fuzzy sets

被引：17
|
作者：
Kim, YK [1 ]
机构：
[1] Dongshin Univ, Dept Computat Math, Naju 520714, Chonnam, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 264卷 / 01期
关键词：
fuzzy sets; the Skorokhod metric; relatively compact subsets; convex subsets;
D O I：
10.1006/jmaa.2001.7658
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a criterion for which the convex hull of H is relatively compact is given when K is a relatively compact subset of the space F (R-p) of fuzzy sets endowed with the Skorokhod topology. Also, some examples are given to illustrate the criterion. (C) 2001 Elsevier Science.
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页码：122 / 132
页数：11
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