Index spaces and standard indices in metric modelling
Metadata
Show full item recordEditorial
Vilnius University
Materia
Metric model Index space Standard index Lipschitz extension Triage
Date
2022-05-10Referencia bibliográfica
Erdoğan 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]
Sponsorship
MCIN/AEI PID2019-105708RB; ERDF A way of making Europe; Catedra de Transparencia y Gestion de Datos, Universitat Politecnica de Valencia, Generalitat ValencianaAbstract
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.