Building a binary outranking relation 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 Brussels, 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:
2009

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Abstract

We consider multicriteria decision problems where the actions are evaluated on a set of ordinal criteria. The evaluation of each alternative with respect to each criterion may be uncertain and/or imprecise and is provided by one or several experts. We model this evaluation as a basic belief assignment (BBA). In order to compare the different pairs of alternatives according to each criterion, the concept of first belief dominance is proposed. Additionally, criteria weights are also expressed by means of a BBA. A model inspired by ELECTRE I is developed and illustrated by a pedagogical example.