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An identification theorem for the completion of the Hausdorff fuzzy metric

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An identification theorem for the completion of the Hausdorff fuzzy metric

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dc.contributor.author Gutierrez García, Javier es_ES
dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.contributor.author Sanchis, M. es_ES
dc.date.accessioned 2014-10-30T08:35:39Z
dc.date.available 2014-10-30T08:35:39Z
dc.date.issued 2013-09-16
dc.identifier.issn 0165-0114
dc.identifier.uri http://hdl.handle.net/10251/43720
dc.description.abstract We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff fuzzy metrics are defined on the respective collections of non-empty closed subsets. As a consequence, we deduce the corresponding result for metric spaces by using the standard fuzzy metric. An application to the extension of multivalued mappings and some illustrative examples are also given. es_ES
dc.description.sponsorship Research supported by the Ministry of Economy and Competitiveness of Spain, under Grants MTM2012-37894-C02-01 and MTM2012-37894-C02-02. The first named author also acknowledges financial support from the UPV/EHU under Grants UFI 11/52 and GIU12/39. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation Ministry of Economy and Competitiveness of Spain MTM2012-37894-C02-01 es_ES
dc.relation Ministry of Economy and Competitiveness of Spain MTM2012-37894-C02-02 es_ES
dc.relation UPV/EHU UFI 11/52 es_ES
dc.relation UPV/EHU GIU12/39 es_ES
dc.relation.ispartof Fuzzy Sets and Systems es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hausdorff fuzzy metric es_ES
dc.subject Completion es_ES
dc.subject Isometry es_ES
dc.subject Contraction es_ES
dc.subject Dynamical system es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title An identification theorem for the completion of the Hausdorff fuzzy metric es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.fss.2013.04.012
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Gutierrez García, J.; Romaguera Bonilla, S.; Sanchis, M. (2013). An identification theorem for the completion of the Hausdorff fuzzy metric. Fuzzy Sets and Systems. 227:96-106. doi:10.1016/j.fss.2013.04.012 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.fss.2013.04.012 es_ES
dc.description.upvformatpinicio 96 es_ES
dc.description.upvformatpfin 106 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 227 es_ES
dc.relation.senia 247179


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