Assigning numerical scores to linguistic expressions

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Date
2017Author
Version
Acceso abierto / Sarbide irekia
xmlui.dri2xhtml.METS-1.0.item-type
Artículo / Artikulua
Version
Versión publicada / Argitaratu den bertsioa
Project Identifier
ES/1PE/ECO2015-65031 ES/1PE/MTM2015-63608 ES/1PE/ECO2016-77900 ES/1PE/TIN2016-77356
Impact
|
10.3390/axioms6030019
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 ...
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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. [--]
Subject
Publisher
MDPI
Published in
Axioms 2017, 6(3), 19
Departament
Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. Inarbe - Institute for Advanced Research in Business and Economics /
Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materials
Publisher version
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.