Campión Arrastia, María JesúsGómez Polo, CristinaInduráin Eraso, EstebanRaventós Pujol, Armajac2020-12-022020-12-0220182075-168010.3390/axioms7020029https://academica-e.unavarra.es/handle/2454/38814Different abstract versions of entropy, encountered in science, are interpreted in the light of numerical representations of several ordered structures, as total-preorders, interval-orders and semiorders. Intransitivities, other aspects of entropy as competitive systems, additivity, etc., are also viewed in terms of representability of algebraic structures endowed with some compatible ordering. A particular attention is paid to the problem of the construction of an entropy function or their mathematical equivalents. Multidisciplinary comparisons to other similar frameworks are also discussed, pointing out the mathematical foundations.37 p.application/pdfeng© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access_x000D_ article distributed under the terms and conditions of the Creative Commons Attribution_x000D_ (CC BY) license.Ordered structuresNumerical representationsEntropyRepresentabilityUtility functionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessAcceso abierto / Sarbide irekia