Assigning numerical scores to linguistic expressions

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Date
2017
Author
Campión Arrastia, María Jesús Upna
Falcó Díaz de Cerio, Edurne Upna
Induráin Eraso, Esteban Upna
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Acceso abierto / Sarbide irekia
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Artículo / Artikulua
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Versión publicada / Argitaratu den bertsioa
Project Identifier
ES/1PE/ECO2015-65031-R 
ES/1PE/MTM2015-63608-P 
ES/1PE/ECO2016-77900-P 
ES/1PE/TIN2016-77356-P 
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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 class ... [++]
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. [--]
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Publisher
MDPI
Published in
Axioms 2017, 6(3), 19
Departament
Inarbe - Institute for Advanced Research in Business and Economics / InaMat - Institute for Advanced Materials
 
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URI
https://hdl.handle.net/2454/26182
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.
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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.
Except where otherwise noted, this item's license is described as © 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.

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