Examples of fuzzy metrics and applications
Mostrar el registro sencillo del ítem
| 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 |
Ficheros en el ítem
