Assigning numerical scores to linguistic expressions

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...

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Detalles Bibliográficos
Autores: Campión Arrastia, María Jesús, Falcó Díaz de Cerio, Edurne, García Lapresta, José, Induráin Eraso, Esteban
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/26182
Acceso en línea:https://hdl.handle.net/2454/26182
Access Level:acceso abierto
Palabra clave:Decision making
Imprecision
Qualitative scales
Linguistic expressions
Scores
Orderings
Aggregation
Descripción
Sumario: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.