dc.creatorRojas-Medar, M
dc.creatorBassanezi, RC
dc.creatorRoman-Flores, H
dc.date1999
dc.date36951
dc.date2014-12-02T16:28:30Z
dc.date2015-11-26T16:32:39Z
dc.date2014-12-02T16:28:30Z
dc.date2015-11-26T16:32:39Z
dc.date.accessioned2018-03-28T23:14:08Z
dc.date.available2018-03-28T23:14:08Z
dc.identifierFuzzy Sets And Systems. Elsevier Science Bv, v. 102, n. 2, n. 263, n. 269, 1999.
dc.identifier0165-0114
dc.identifierWOS:000078262900012
dc.identifier10.1016/S0165-0114(97)00120-6
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/75857
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/75857
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/75857
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1270584
dc.descriptionPurl and Ralescu (1985) gave, recently, an extension of the Minkowski Embedding Theorem for the class E-L(n) of fuzzy sets u on R-n with the level application alpha --> L(alpha)u Lipschitzian on the C([0, 1] x Sn-1) space. In this work we extend the above result to the class E-C(n) of level-continuous applications. Moreover, we prove that E-C(n) is a complete metric space with E-L(n) not subset of or equal to E-C(n) and <(E-L(n))over bar> = E-C(n). To prove the last result, we use the multivalued Bernstein polynomials and the Vitali's approximation theorem for multifunction. Also, we deduce some properties in the setting of fuzzy random variable (multivalued). (C) 1999 Elsevier Science B.V. All rights reserved.
dc.description102
dc.description2
dc.description263
dc.description269
dc.languageen
dc.publisherElsevier Science Bv
dc.publisherAmsterdam
dc.publisherHolanda
dc.relationFuzzy Sets And Systems
dc.relationFuzzy Sets Syst.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectfuzzy sets
dc.subjectset-convergences
dc.subjectHausdorff metric
dc.subjectintegration of multifunctions
dc.subjectmultivalued Bernstein polynomial
dc.subjectMinkowski Embedding Theorem
dc.subjectsupport functions
dc.subjectFuzzy-sets
dc.titleA generalization of the Minkowski embedding theorem and applications
dc.typeArtículos de revistas


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