Index spaces and standard indices in metric modelling
| Autor: | Ezgi Erdoğan, Antonia Ferrer-Sapena, Eduardo Jiménez-Fernández |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Nonlinear Analysis, Vol 27 (2022) |
| Druh dokumentu: | article |
| ISSN: | 1392-5113 2335-8963 |
| DOI: | 10.15388/namc.2022.27.27493 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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