dc.contributor.author | Roldán López de Hierro, Antonio Francisco | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.contributor.author | Martínez-Moreno, Juan | |
dc.contributor.author | Roldán López de Hierro, Concepción | |
dc.date.accessioned | 2016-05-04T10:54:43Z | |
dc.date.available | 2016-05-04T10:54:43Z | |
dc.date.issued | 2015-02-27 | |
dc.identifier.citation | Fixed Point Theory and Applications 2012 : (2015) // Article ID 33 | es |
dc.identifier.issn | 1687-1812 | |
dc.identifier.uri | http://hdl.handle.net/10810/18159 | |
dc.description.abstract | In this paper, inspired by two very different, successful metric theories such us the real view-point of Lowen's approach spaces and the probabilistic field of Kramosil and Michalek's fuzzymetric spaces, we present a family of spaces, called fuzzy approach spaces, that are appropriate to handle, at the same time, both measure conceptions. To do that, we study the underlying metric interrelationships between the above mentioned theories, obtaining six postulates that allow us to consider such kind of spaces in a unique category. As a result, the natural way in which metric spaces can be embedded in both classes leads to a commutative categorical scheme. Each postulate is interpreted in the context of the study of the evolution of fuzzy systems. First properties of fuzzy approach spaces are introduced, including a topology. Finally, we describe a fixed point theorem in the setting of fuzzy approach spaces that can be particularized to the previous existing measure spaces. | es |
dc.description.sponsorship | The authors are very grateful to the Spanish Government for Grant DPI2012-30651 and to the Basque Government for Grant IT378-10. This paper has been partially supported by projects FQM-178, FQM-268 and FQM-265 of the Andalusian CICE, Spain. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.rights | info:eu-repo/semantics/openAccess | es |
dc.subject | ramdom-variables | es |
dc.subject | regression | es |
dc.subject | sets | es |
dc.title | An approach version of fuzzy metric spaces including an ad hoc fixed point theorem | es |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.holder | ©
2015 Roldán-López-de-Hierro et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative
Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and re-
production in any medium, provided the original work is properly credited. | es |
dc.relation.publisherversion | http://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-015-0276-7#Abs1 | es |
dc.identifier.doi | 10.1186/s13663-015-0276-7 | |
dc.departamentoes | Electricidad y electrónica | es_ES |
dc.departamentoeu | Elektrizitatea eta elektronika | es_ES |
dc.subject.categoria | GEOMETRY AND TOPOLOGY | |
dc.subject.categoria | MATHEMATICS, APPLIED | |