A ranking model in uncertain, imprecise and multi-experts contexts: The application of evidence theory

Authors:
Mohamed Ayman Boujelben;Yves De Smet;Ahmed Frikha;Habib Chabchoub
Affiliations:
Unité de recherche GIAD, Faculté des sciences économiques et de gestion de Sfax, Route de l'Aérodrome, BP 1088, 3018 Sfax, Tunisia;Unité CoDE-SMG, Université Libre de Bruxelles, Boulevard du Triomphe, BP 210-01, 1050 Bruxelles, Belgium;Unité de Recherche LOGIQ, Institut supérieur de gestion industrielle de Sfax, Route Mharza, BP 954, 3018 Sfax, Tunisia;Unité de recherche GIAD, Faculté des sciences économiques et de gestion de Sfax, Route de l'Aérodrome, BP 1088, 3018 Sfax, Tunisia
Venue:
International Journal of Approximate Reasoning
Year:
2011

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Abstract

We consider ranking problems where the actions are evaluated on a set of ordinal criteria. The evaluation of each alternative with respect to each criterion may be imperfect and is provided by one or several experts. We model each imperfect evaluation as a basic belief assignment (BBA). In order to rank the BBAs characterizing the performances of the actions according to each criterion, a new concept called RBBD and based on the comparison of these BBAs to ideal or nadir BBAs is proposed. This is performed using belief distances that measure the dissimilarity of each BBA to the ideal or nadir BBAs. A model inspired by Xu et al.'s method is also proposed and illustrated by a pedagogical example.