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Induráin Eraso, Esteban

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https://academica-e.unavarra.es/handle/2454/49278

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Induráin Eraso

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Esteban

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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0000-0002-1511-5658

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17

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    PublicationOpen Access
    Assigning numerical scores to linguistic expressions
    (MDPI, 2017) Campión Arrastia, María Jesús; Falcó Díaz de Cerio, Edurne; García Lapresta, José; Induráin Eraso, Esteban; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Materials and Mathematics - INAMAT2; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
    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.