Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390598 | Fuzzy Sets and Systems | 2009 | 12 Pages |
Abstract
In this paper, a generalized form of the Bolzano theorem in classical analysis to fuzzy number space and a characterization of compact subsets in fuzzy number space are given. Some properties of the fuzzy-valued continuous functions defined on a compact set K are studied. Completeness of the space C(K,E1) of fuzzy-valued continuous functions on K endowed with the supremum metric D is proved. A characterization of compact subsets in the space (C(K,E1),D) is presented, which is a generalization of the Arzela–Ascoli theorem in classical analysis.
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