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Type: Artigo de periódico
Title: Embedding of level-continuous fuzzy sets on Banach spaces
Author: Roman-Flores, H
Rojas-Medar, M
Abstract: In this paper we present an extension of the Minkowski embedding theorem, showing the existence of an isometric embedding between the class F-c(H) of compact-convex and level-continuous fuzzy sets on a real separable Banach space H and L([0,1] x B(H*)), the Banach space of real continuous functions defined on the Cartesian product between [0,1] and the unit ball B(H*) in the dual space H*. Also, by using this embedding, we give some applications to the characterization of relatively compact subsets of F-c(H). In particular, an Ascoli-Arzela type theorem is proved and applied to solving the Cauchy problem (x)over dot (t) = f(t,x(t)), x(t(0)) = x(0) on F-c(H). (C) 2002 Elsevier Science Inc. All rights reserved.
Country: EUA
Editor: Elsevier Science Inc
Citation: Information Sciences. Elsevier Science Inc, v. 144, n. 41730, n. 227, n. 247, 2002.
Rights: fechado
Identifier DOI: 10.1016/S0020-0255(02)00182-2
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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