Index spaces and standard indices in metric modelling

We 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...

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Bibliographic Details
Published inNonlinear analysis (Vilnius, Lithuania) Vol. 27; pp. 1 - 20
Main Authors Erdoğan, Ezgi, Ferrer-Sapena, Antonia, Jiménez-Fernández, Eduardo
Format Journal Article
LanguageEnglish
Published Vilnius University Press 01.07.2022
Subjects
index space
Lipschitz extension
metric model
standard index
triage
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Summary:We 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.
ISSN:1392-5113
2335-8963
DOI:10.15388/namc.2022.27.27493