Publication:
Index spaces and standard indices in metric modelling

dc.contributor.authorERDOĞAN, EZGİ
dc.contributor.authorsERDOĞAN E., Ferrer-Sapena A., Jimenez-Fernandez E., Sanchez-Perez E. A.
dc.date.accessioned2023-07-11T11:26:53Z
dc.date.accessioned2026-01-11T08:24:10Z
dc.date.available2023-07-11T11:26:53Z
dc.date.issued2022-07-01
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.
dc.identifier.citationERDOĞAN E., Ferrer-Sapena A., Jimenez-Fernandez E., Sanchez-Perez E. A., "Index spaces and standard indices in metric modelling*", NONLINEAR ANALYSIS-MODELLING AND CONTROL, cilt.27, ss.803-822, 2022
dc.identifier.doi10.15388/namc.2022.27.27493
dc.identifier.endpage822
dc.identifier.issn1392-5113
dc.identifier.startpage803
dc.identifier.urihttps://avesis.marmara.edu.tr/api/publication/3be3d08d-f174-467b-8e3c-b13007a9ef6f/file
dc.identifier.urihttps://hdl.handle.net/11424/291134
dc.identifier.volume27
dc.language.isoeng
dc.relation.ispartofNONLINEAR ANALYSIS-MODELLING AND CONTROL
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMatematik
dc.subjectBilgisayar Bilimleri
dc.subjectTemel Bilimler
dc.subjectMühendislik ve Teknoloji
dc.subjectMathematics
dc.subjectComputer Science
dc.subjectNatural Sciences
dc.subjectEngineering and Technology
dc.subjectMATEMATİK, UYGULAMALI
dc.subjectTemel Bilimler (SCI)
dc.subjectMATEMATİK, DİSİPLİNLERARASI UYGULAMALAR
dc.subjectMEKANİK
dc.subjectMühendislik
dc.subjectMühendislik, Bilişim ve Teknoloji (ENG)
dc.subjectMATHEMATICS, APPLIED
dc.subjectMATHEMATICS
dc.subjectNatural Sciences (SCI)
dc.subjectMATHEMATICS, INTERDISCIPLINARY APPLICATIONS
dc.subjectMECHANICS
dc.subjectENGINEERING
dc.subjectEngineering, Computing & Technology (ENG)
dc.subjectAnaliz
dc.subjectUygulamalı matematik
dc.subjectGenel Mühendislik
dc.subjectCebir ve Sayı Teorisi
dc.subjectSayısal analiz
dc.subjectHesaplamalı Matematik
dc.subjectMatematik (çeşitli)
dc.subjectMühendislik (çeşitli)
dc.subjectModelleme ve Simülasyon
dc.subjectGenel Matematik
dc.subjectHesaplamalı Teori ve Matematik
dc.subjectFizik Bilimleri
dc.subjectAnalysis
dc.subjectApplied Mathematics
dc.subjectGeneral Engineering
dc.subjectAlgebra and Number Theory
dc.subjectNumerical Analysis
dc.subjectComputational Mathematics
dc.subjectMathematics (miscellaneous)
dc.subjectEngineering (miscellaneous)
dc.subjectModeling and Simulation
dc.subjectGeneral Mathematics
dc.subjectComputational Theory and Mathematics
dc.subjectPhysical Sciences
dc.subjectmetric model
dc.subjectindex space
dc.subjectstandard index
dc.subjectLipschitz extension
dc.subjecttriage
dc.titleIndex spaces and standard indices in metric modelling
dc.typearticle
dspace.entity.typePublication

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