Standard fuzzy uniform structures based on continuous t-norms
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| dc.contributor.author | Gutiérrez, J.
|
es_ES |
| dc.contributor.author | Romaguera Bonilla, Salvador
|
es_ES |
| dc.contributor.author | Sanchis, M.
|
es_ES |
| dc.date.accessioned | 2015-02-04T13:11:37Z | |
| dc.date.available | 2015-02-04T13:11:37Z | |
| dc.date.issued | 2012-05-16 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.uri | http://hdl.handle.net/10251/46731 | |
| dc.description.abstract | This paper deals with fuzzy uniform structures previously introduced by the authors [Fuzzy uniform structures and continuous t-norms, Fuzzy Sets Syst. 161 (2009) 1011-1021]. Our approach involves a covariant functor psi from the category of fuzzy uniform spaces and fuzzy uniformly continuous mappings (in our sense) to the category of uniform spaces and uniformly continuous mappings. We show that psi is well-behaved with respect to some significant fuzzy uniform concepts. and its behavior provides a method to introduce notions of tine fuzzy uniform structure and Stone-tech fuzzy compactification in this context. Our method also applies to obtain fuzzy versions of some classical results on topological algebra and hyperspaces. The case of quasi-uniform structures is also analyzed. (C) 2011 Elsevier B.V. All rights reserved. | es_ES |
| dc.description.sponsorship | This research is supported by the Plan Nacional I+D+i, under Grants MTM2009-12872-C02-01 and MTM2009-12872-C02-02. | en_EN |
| 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 uniform structure | es_ES |
| dc.subject | Fuzzy topological group | es_ES |
| dc.subject | Fine fuzzy uniformity | es_ES |
| dc.subject | Stone-Cech fuzzy compactification | es_ES |
| dc.subject | Hausdorff-Bourbaki fuzzy uniformity | es_ES |
| dc.subject | Fuzzy quasi-uniform structure | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Standard fuzzy uniform structures based on continuous t-norms | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.1016/j.fss.2011.10.008 | |
| 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/MICINN//MTM2009-12872-C02-02/ES/Estructuras Ordenadas Y Topologia: Insercion De Funciones, Metricas Y Uniformidades Fuzzy Y Topologia Sin Puntos./ | 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 | Gutiérrez, J.; Romaguera Bonilla, S.; Sanchis, M. (2012). Standard fuzzy uniform structures based on continuous t-norms. Fuzzy Sets and Systems. 195:75-89. doi:10.1016/j.fss.2011.10.008 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | http://dx.doi.org/10.1016/j.fss.2011.10.008 | es_ES |
| dc.description.upvformatpinicio | 75 | es_ES |
| dc.description.upvformatpfin | 89 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 195 | es_ES |
| dc.relation.senia | 229744 | |
| dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
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