Publication:
Assigning numerical scores to linguistic expressions

Date

2017

Director

Publisher

MDPI
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión publicada / Argitaratu den bertsioa

Project identifier

MINECO//ECO2015-65031-R/ES/recolecta
MINECO//MTM2015-63608-P/ES/recolecta
ES/1PE/ECO2016-77900
ES/1PE/TIN2016-77356

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 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.

Description

Keywords

Decision making, Imprecision, Qualitative scales, Linguistic expressions, Scores, Orderings, Aggregation

Department

Institute for Advanced Research in Business and Economics - INARBE / Institute for Advanced Materials and Mathematics - INAMAT2

Faculty/School

Degree

Doctorate program

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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.

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