A choice model with imprecise ordinal evaluations

Authors:
Mohamed Ayman Boujelben;Yves De Smet
Affiliations:
MODEOR, Institut des hautes études commerciales de Sfax, Université de Sfax Route Sidi Mansour, BP 967, 3018 Sfax, Tunisie;CoDE-SMG, Ecole polytechnique de Bruxelles, Université libre de Bruxelles Boulevard du Triomphe, CP 210-01, 1050 Bruxelles, Belgique
Venue:
International Journal of Approximate Reasoning
Year:
2014

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Abstract

We consider multicriteria choice problems where the actions are evaluated on ordinal criteria and where they can be assessed imprecisely. In order to select the subset of best actions, the pairwise comparisons between the actions on each criterion are modeled by basic belief assignments (BBAs). Dempster@?s rule of combination is used for the aggregation of the BBAs of each pair of alternatives in order to express a global comparison between them on all the criteria. A model inspired by ELECTRE I is also proposed and illustrated by a pedagogical example.