A survey on the mathematical foundations of axiomatic entropy: representability and orderings
| dc.contributor.author | Campión Arrastia, María Jesús | |
| dc.contributor.author | Gómez Polo, Cristina | |
| dc.contributor.author | Induráin Eraso, Esteban | |
| dc.contributor.author | Raventós Pujol, Armajac | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Zientziak | eu |
| dc.contributor.department | Institute for Advanced Research in Business and Economics - INARBE | en |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Ciencias | es_ES |
| dc.date.accessioned | 2020-12-02T10:17:51Z | |
| dc.date.available | 2020-12-02T10:17:51Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | Different 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. | en |
| dc.description.sponsorship | This work was partially supported by the research projects ECO2015-65031-R, MTM2015-63608-P (MINECO/AEI-FEDER, UE), 0011-1365-2016-000060, PC003-004-005 DRUG-MAG, TIN2016-77356-P (MINECO/AEI-FEDER, UE) and 0011-1365-2017-000118. | en |
| dc.format.extent | 37 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.3390/axioms7020029 | |
| dc.identifier.issn | 2075-1680 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/38814 | |
| dc.language.iso | eng | en |
| dc.publisher | MDPI | en |
| dc.relation.ispartof | Axioms, 2018, 7(2): 29 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//ECO2015-65031-R/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P/ | |
| dc.relation.publisherversion | https://doi.org/10.3390/axioms7020029 | |
| dc.rights | © 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. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Ordered structures | en |
| dc.subject | Numerical representations | en |
| dc.subject | Entropy | en |
| dc.subject | Representability | en |
| dc.subject | Utility functions | en |
| dc.title | A survey on the mathematical foundations of axiomatic entropy: representability and orderings | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 0961993a-a5bf-46e4-ae5e-30f0dd1ecc19 | |
| relation.isAuthorOfPublication | 5000e1d8-9426-4c7b-a770-586dbd2b2875 | |
| relation.isAuthorOfPublication | c874513c-89e0-4d58-915a-e3b33d41925a | |
| relation.isAuthorOfPublication | df884328-0efb-4247-925b-cabd35b77cef | |
| relation.isAuthorOfPublication.latestForDiscovery | 0961993a-a5bf-46e4-ae5e-30f0dd1ecc19 |