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Campión, María Jesús Falco Diaz De Cerio, Edurne García Lapresta, José Luis Induráin Eraso, Esteban 2019-04-29T12:21:19Z 2019-04-29T12:21:19Z 2017 Axioms, 2017, vol. 6, n. 19. 17 p. 2075-1680 http://uvadoc.uva.es/handle/10324/35886 10.3390/axioms6030019 Producción Científica 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. Ministerio de Economía, Industria y Competitividad (Projects ECO2015-65031-R, MTM2015-63608-P, ECO2016-77900-P and TIN2016-77356-P) European Regional Development Fund (ERDF) Research Services of the Universidad Pública de Navarra (Spain) application/pdf eng MPDI info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 International Decisión, Toma de - Valoración - Expresiones lingüísticas Métodos cuantitativos Métodos cualitativos Assigning Numerical Scores to Linguistic Expressions info:eu-repo/semantics/article https://www.mdpi.com/2075-1680/6/3/19 SI