# Some qüestions in fuzzy metric spaces

 dc.contributor.author Gregori, Valentín dc.contributor.author Miñana, Juan-José dc.contributor.author Morillas, Samuel dc.date.accessioned 2020-04-02T09:44:44Z dc.date.available 2020-04-02T09:44:44Z dc.identifier.uri http://hdl.handle.net/11201/151899 dc.description.abstract [eng] The George and Veeramani's fuzzy metric defined by $M^*(x,y,t)=\frac{min\{x,y\}+t}{max\{x,y\}+t}$ on $[0,\infty[$ (the set of non-negative real numbers) has shown some advantages in front of classical metrics in the process of filtering images. In this paper we study from the mathematical point of view this fuzzy metric and other fuzzy metrics related to it. As a consequence of this study we introduce, throughout the paper, some questions relative to fuzzy metrics. Also, as another practical application, we show that this fuzzy metric is useful for measuring perceptual colour differences between colour samples. dc.format application/pdf dc.relation.isformatof Versió postprint del document publicat a: https://doi.org/10.1016/j.fss.2011.12.008 dc.relation.ispartof Fuzzy Sets and Systems, 2012, vol. 204, p. 71-85 dc.subject.classification 51 - Matemàtiques dc.subject.classification 004 - Informàtica dc.subject.other 51 - Mathematics dc.subject.other 004 - Computer Science and Technology. Computing. Data processing dc.title Some qüestions in fuzzy metric spaces dc.type info:eu-repo/semantics/article dc.type info:eu-repo/semantics/acceptedVersion dc.date.updated 2020-04-02T09:44:45Z dc.subject.keywords Fuzzy metric space dc.subject.keywords fuzzy metric completion dc.subject.keywords strong fuzzy metric dc.subject.keywords principal fuzzy metric dc.rights.accessRights info:eu-repo/semantics/openAccess dc.identifier.doi https://doi.org/10.1016/j.fss.2011.12.008
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