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dc.contributor.authorS. Dhompongsaen_US
dc.contributor.authorA. Kaewkhaoen_US
dc.contributor.authorS. Saejungen_US
dc.description.abstractIn 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 Rd. We show that this topological space is separable and metrizable. © 2006 Elsevier Inc. All rights reserved.en_US
dc.subjectComputer Scienceen_US
dc.subjectDecision Sciencesen_US
dc.titleOn topological properties of the Choquet weak convergence of capacity functionals of random setsen_US
article.title.sourcetitleInformation Sciencesen_US
article.volume177en_US Mai Universityen_US Universityen_US
Appears in Collections:CMUL: Journal Articles

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