کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
396233 666315 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On topological properties of the Choquet weak convergence of capacity functionals of random sets
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On topological properties of the Choquet weak convergence of capacity functionals of random sets
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 177, Issue 8, 15 April 2007, Pages 1852–1859
نویسندگان
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