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Index spaces and standard indices in metric modelling

dc.contributor.authorErdogan, Ezgi
dc.contributor.authorJiménez Fernández, Eduardo 
dc.date.accessioned2022-06-07T08:14:47Z
dc.date.available2022-06-07T08:14:47Z
dc.date.issued2022-05-10
dc.identifier.citationErdoğan E... [et al.] (2022). Index spaces and standard indices in metric modelling. Nonlinear Analysis: Modelling and Control, 27, 1-20. [https://doi.org/10.15388/namc.2022.27.27493]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/75295
dc.descriptionThis research was partially supported by the grant PID2019-105708RB funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe". The second, third and fourth authors gratefully acknowledge the support of the Catedra de Transparencia y Gestion de Datos, Universitat Politecnica de Valencia, Generalitat Valenciana.es_ES
dc.description.abstractWe analyze the basic structure of certain metric models, which are constituted by an index I acting on a metric space (D; d) representing a relevant property of the elements of D. We call such a structure (D; d; I) an index space and define on it normalization and consistency constants that measure to what extent I is compatible with the metric d. The “best” indices are those with such constants equal to 1 (standard indices), and we show an approximation method for other indices using them. With the help of Lipschitz extensions, we show how to apply these tools: a new model for the triage process in the emergency department of a hospital is presented.es_ES
dc.description.sponsorshipMCIN/AEI PID2019-105708RBes_ES
dc.description.sponsorshipERDF A way of making Europees_ES
dc.description.sponsorshipCatedra de Transparencia y Gestion de Datos, Universitat Politecnica de Valencia, Generalitat Valencianaes_ES
dc.language.isoenges_ES
dc.publisherVilnius Universityes_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectMetric modeles_ES
dc.subjectIndex spacees_ES
dc.subjectStandard indexes_ES
dc.subjectLipschitz extensiones_ES
dc.subjectTriagees_ES
dc.titleIndex spaces and standard indices in metric modellinges_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.15388/namc.2022.27.27493
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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