Metrizable ordinal proximity measures and their aggregation

Ordered qualitative scales formed by linguistic terms are frequently used for evaluating sets of alternatives in different decision-making problems. These scales are usually implicitly considered as uniform in the sense that the psychological proximity between consecutive terms is perceived as ident...

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Bibliographic Details
Published in:Information sciences 2018-06, Vol.448-449, p.149-163
Main Authors: García-Lapresta, José Luis, González del Pozo, Raquel, Pérez-Román, David
Format: Article
Language:English
Subjects:
Group decision-making
Judgment aggregation
Ordinal proximity measures
Qualitative scales
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Summary:Ordered qualitative scales formed by linguistic terms are frequently used for evaluating sets of alternatives in different decision-making problems. These scales are usually implicitly considered as uniform in the sense that the psychological proximity between consecutive terms is perceived as identical. However, sometimes agents can perceive different proximities between the linguistic terms of the scale, and an appropriate method is required for aggregating these perceptions. In this paper we introduce the notion of metrizable ordinal proximity measure, discuss some aggregation procedures and propose a method based on metrics for aggregating experts’ opinions on proximities between linguistic terms on ordered qualitative scales.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2018.03.034