Article ID Journal Published Year Pages File Type
396233 Information Sciences 2007 8 Pages PDF
Abstract

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 RdRd. We show that this topological space is separable and metrizable.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
Authors
, , ,