Index spaces and standard indices in metric modelling*

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ERDOĞAN E., Ferrer-Sapena A., Jimenez-Fernandez E., Sanchez-Perez E. A.

NONLINEAR ANALYSIS-MODELLING AND CONTROL, cilt.27, ss.803-822, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27
  • Basım Tarihi: 2022
  • Doi Numarası: 10.15388/namc.2022.27.27493
  • Dergi Adı: NONLINEAR ANALYSIS-MODELLING AND CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.803-822
  • Anahtar Kelimeler: metric model, index space, standard index, Lipschitz extension, triage
  • Marmara Üniversitesi Adresli: Evet

Özet

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.