Building a binary outranking relation in uncertain, imprecise and multi-experts contexts: The application of evidence theory |
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| Authors: | Mohamed Ayman Boujelben Yves De Smet Ahmed Frikha Habib Chabchoub |
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| Affiliation: | aUnité de recherche GIAD, Faculté des sciences économiques et de gestion de Sfax, Route de l’Aérodrome, BP 1088, 3018 Sfax, Tunisia;bUnité CoDE-SMG, Université Libre de Bruxelles, Boulevard du Triomphe, BP 210-01, 1050 Brussels, Belgium;cUnité de Recherche LOGIQ, Institut supérieur de gestion industrielle de Sfax, Route Mharza, BP 954, 3018 Sfax, Tunisia |
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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. |
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| Keywords: | Multicriteria decision aid Evidence theory First belief dominance ELECTRE I Multi-experts context |
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