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A technique for fuzzifying metric spaces via metric preserving mappings

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A technique for fuzzifying metric spaces via metric preserving mappings

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dc.contributor.author Gregori Gregori, Valentín es_ES
dc.contributor.author Miñana, Juan-José es_ES
dc.contributor.author Valero Sierra, Óscar es_ES
dc.date.accessioned 2018-05-13T04:27:45Z
dc.date.available 2018-05-13T04:27:45Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0165-0114 es_ES
dc.identifier.uri http://hdl.handle.net/10251/101857
dc.description.abstract [EN] In this paper we develop a new technique for constructing fuzzy metric spaces, in the sense of George and Veeramani, from metric spaces and by means of the Lukasievicz t-norm. In particular such a technique is based on the use of metric preserving functions in the sense of J. Dobos. Besides, the new generated fuzzy metric spaces are strong and completable, and if we add an extra condition, they are principal. Appropriate examples of such fuzzy metric spaces are given in order to illustrate the exposed technique. es_ES
dc.description.sponsorship Valentín Gregori acknowledges the support of the Spanish Ministry of Economy and Competitiveness under Grant MTM2015-64373-P (MINECO/FEDER, UE). Oscar Valero acknowledges the support of the Spanish Ministry of Economy and Competitiveness under Grants TIN2014-56381-REDT (LODISCO), TIN2016-81731-REDT (LODISCO II) and AEI/FEDER, UE funds.
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation info:eu-repo/grantAgreement/MINECO//MTM2015-64373-P/ES/HIPERESPACIOS, ESTRUCTURAS DIFUSAS Y ASIMETRICAS. APLICACIONES A CIENCIA DE LA COMPUTACION Y AL FILTRADO DE IMAGENES./ es_ES
dc.relation info:eu-repo/grantAgreement/MINECO//TIN2014-56381-REDT/ES/LOGICA DIFUSA Y SOFT COMPUTING/
dc.relation MINECO/TIN2016-81731-REDT
dc.relation.ispartof Fuzzy Sets and Systems es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Fuzzy metric space es_ES
dc.subject Completion es_ES
dc.subject Metric preserving function es_ES
dc.subject Stationary es_ES
dc.subject Strong (non-Archimedean) es_ES
dc.subject Principal es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A technique for fuzzifying metric spaces via metric preserving mappings es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.fss.2017.07.022 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Gregori Gregori, V.; Miñana, J.; Valero Sierra, Ó. (2018). A technique for fuzzifying metric spaces via metric preserving mappings. Fuzzy Sets and Systems. 330:1-15. https://doi.org/10.1016/j.fss.2017.07.022 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.fss.2017.07.022 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 330 es_ES
dc.relation.pasarela S\355821 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES


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