The First Belief Dominance: A New Approach in Evidence Theory for Comparing Basic Belief Assignments

Authors:
Mohamed Ayman Boujelben;Yves Smet;Ahmed Frikha;Habib Chabchoub
Affiliations:
Faculté des sciences économiques et de gestion de Sfax, Université de Sfax, Sfax, Tunisie;Faculté des sciences appliquées, Université Libre de Bruxelles, Bruxelles;Institut supérieur de gestion industrielle de Sfax, Université de Sfax, Sfax, Tunisie;Faculté des sciences économiques et de gestion de Sfax, Université de Sfax, Sfax, Tunisie
Venue:
ADT '09 Proceedings of the 1st International Conference on Algorithmic Decision Theory
Year:
2009

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Abstract

In this paper, we consider problems where the data is uncertain and/or imprecise and given by basic belief assignments (BBA's). In order to compare the different pairs of the BBA's, a new concept called the first belief dominance is proposed. This is naturally inspired by the concept of first stochastic dominance that allows comparing probability distributions. Finally, an application in multicriteria decision aid context is presented to illustrate the proposed technique.