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A characterization of compact subsets of fuzzy number space. (English) Zbl 1004.54009

Summary: A characterization of compact subsets on the space of fuzzy numbers endowed with the Skorokhod topology is presented. This characterization is an analogue of the Arzela-Ascoli theorem which characterizes compact subsets of the space \(C[0,1]\).

MSC:

54A40 Fuzzy topology
54C35 Function spaces in general topology
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