Publication: Index spaces and standard indices in metric modelling
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Abstract
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.
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Matematik, Bilgisayar Bilimleri, Temel Bilimler, Mühendislik ve Teknoloji, Mathematics, Computer Science, Natural Sciences, Engineering and Technology, MATEMATİK, UYGULAMALI, Temel Bilimler (SCI), MATEMATİK, DİSİPLİNLERARASI UYGULAMALAR, MEKANİK, Mühendislik, Mühendislik, Bilişim ve Teknoloji (ENG), MATHEMATICS, APPLIED, MATHEMATICS, Natural Sciences (SCI), MATHEMATICS, INTERDISCIPLINARY APPLICATIONS, MECHANICS, ENGINEERING, Engineering, Computing & Technology (ENG), Analiz, Uygulamalı matematik, Genel Mühendislik, Cebir ve Sayı Teorisi, Sayısal analiz, Hesaplamalı Matematik, Matematik (çeşitli), Mühendislik (çeşitli), Modelleme ve Simülasyon, Genel Matematik, Hesaplamalı Teori ve Matematik, Fizik Bilimleri, Analysis, Applied Mathematics, General Engineering, Algebra and Number Theory, Numerical Analysis, Computational Mathematics, Mathematics (miscellaneous), Engineering (miscellaneous), Modeling and Simulation, General Mathematics, Computational Theory and Mathematics, Physical Sciences, metric model, index space, standard index, Lipschitz extension, triage
Citation
ERDOĞAN 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