期刊
INFORMATION SCIENCES
卷 177, 期 8, 页码 1852-1859出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2006.11.004
关键词
random closed set; capacity functional; Choquet integral; Choquet weak convergence
In view of the recent interests in random sets in information technology, such as models for imprecise data in intelligent systems, morphological analysis in image processing, we present, in this paper, some contributions to the foundation of random set theory, namely, a complete study of topological properties of capacity functionals of random sets, generalizing weak convergence of probability measures. These results are useful for investigating the concept of Choquet weak convergence of capacity functionals leading to tractable criteria for convergence in distribution of random sets. The weak topology is defined on the space of all capacity functionals on R. We show that this topological space is separable and metrizable. (C) 2006 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据