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Examples of fuzzy metrics and applications

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dc.contributor.author Gregori Gregori, Valentín es_ES
dc.contributor.author Morillas, Samuel es_ES
dc.contributor.author Sapena Piera, Almanzor es_ES
dc.date.accessioned 2014-02-28T09:41:46Z
dc.date.issued 2011-05
dc.identifier.issn 0165-0114
dc.identifier.uri http://hdl.handle.net/10251/36037
dc.description.abstract In this paper we present new examples of fuzzy metrics in the sense of George and Veeramani. The examples have been classified attending to their construction and most of the well-known fuzzy metrics are particular cases of those given here. In particular, novel fuzzy metrics, by means of fuzzy and classical metrics and certain special types of functions, are introduced. We also give an extension theorem for two fuzzy metrics that agree in its nonempty intersection. Finally, we give an application of this type of fuzzy metrics to color image processing. We propose a fuzzy metric that simultaneously takes into account two different distance criteria between color image pixels and we use this fuzzy metric to filter noisy images, obtaining promising results. This application is also illustrative of how fuzzy metrics can be used in other engineering problems. es_ES
dc.description.sponsorship The authors acknowledge the support of the Spanish Ministry of Science and Innovation under Grant MTM2009-12872-C02-01 and Universidad Politenica de Valencia under Grant PAID-06-08 Primeros Proyectos de Investigacion del Vicerrectorado de Investigacion. en_EN
dc.format.extent 17 es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Fuzzy Sets and Systems es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Fuzzy image denoising es_ES
dc.subject Fuzzy metric es_ES
dc.subject Stationary fuzzy metric es_ES
dc.subject Color images es_ES
dc.subject Engineering problems es_ES
dc.subject Extension theorem es_ES
dc.subject Fuzzy metrics es_ES
dc.subject Image de-noising es_ES
dc.subject Noisy image es_ES
dc.subject Non-empty intersections es_ES
dc.subject Color image processing es_ES
dc.subject Noise pollution control es_ES
dc.subject Fuzzy filters es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Examples of fuzzy metrics and applications es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1016/j.fss.2010.10.019
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GVPRE%2F2008%2F257/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-12872-C02-01/ES/Construccion De Casi-Metricas Fuzzy, De Distancias De Complejidad Y De Dominios Cuantitativos. Aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-06-08/ es_ES
dc.rights.accessRights Cerrado 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 Gregori Gregori, V.; Morillas, S.; Sapena Piera, A. (2011). Examples of fuzzy metrics and applications. Fuzzy Sets and Systems. 170:95-111. https://doi.org/10.1016/j.fss.2010.10.019 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.fss.2010.10.019 es_ES
dc.description.upvformatpinicio 95 es_ES
dc.description.upvformatpfin 111 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 170 es_ES
dc.relation.senia 207638
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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