Assigning numerical scores to linguistic expressions

Campión Arrastia, María Jesús; Falcó Díaz de Cerio, Edurne; García Lapresta, José; Induráin Eraso, Esteban

doi:10.3390/axioms6030019

dc.creator	Campión Arrastia, María Jesús	es_ES
dc.creator	Falcó Díaz de Cerio, Edurne	es_ES
dc.creator	García Lapresta, José	es_ES
dc.creator	Induráin Eraso, Esteban	es_ES
dc.date.accessioned	2017-11-15T09:28:43Z
dc.date.available	2017-11-15T09:28:43Z
dc.date.issued	2017
dc.identifier.issn	2075-1680
dc.identifier.uri	https://hdl.handle.net/2454/26182
dc.description.abstract	In this paper, we study different methods of scoring linguistic expressions defined on a finite set, in the search for a linear order that ranks all those possible expressions. Among them, particular attention is paid to the canonical extension, and its representability through distances in a graph plus some suitable penalization of imprecision. The relationship between this setting and the classical problems of numerical representability of orderings, as well as extension of orderings from a set to a superset is also explored. Finally, aggregation procedures of qualitative rankings and scorings are also analyzed.	en
dc.description.sponsorship	This work has been partially supported by the Spanish Ministerio de Economía y Competitividad (projects ECO2015-65031-R, MTM2015-63608-P, ECO2016-77900-P and TIN2016-77356-P), ERDF and the Research Services of the Universidad Pública de Navarra (Spain). Thanks are also given to Remedios Marín and Íñigo Arozarena (Departamento de Tecnología de Alimentos, Universidad Pública de Navarra, Pamplona, Spain) for their valuable suggestions and comments.	en
dc.format.extent	17 p.
dc.format.mimetype	application/pdf	en
dc.language.iso	eng	en
dc.publisher	MDPI	en
dc.relation.ispartof	Axioms 2017, 6(3), 19	en
dc.rights	© 2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.	en
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	Decision making	en
dc.subject	Imprecision	en
dc.subject	Qualitative scales	en
dc.subject	Linguistic expressions	en
dc.subject	Scores	en
dc.subject	Orderings	en
dc.subject	Aggregation	en
dc.title	Assigning numerical scores to linguistic expressions	en
dc.type	Artículo / Artikulua	es
dc.type	info:eu-repo/semantics/article	en
dc.contributor.department	Institute for Advanced Research in Business and Economics - INARBE	es_ES
dc.contributor.department	Institute for Advanced Materials and Mathematics - INAMAT2	es_ES
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.identifier.doi	10.3390/axioms6030019
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//ECO2015-65031-R/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/ES/1PE/ECO2016-77900	en
dc.relation.projectID	info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356	en
dc.relation.publisherversion	https://dx.doi.org/10.3390/axioms6030019
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dc.contributor.funder	Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa	es

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© 2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.

La licencia del ítem se describe como © 2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.