The first belief dominance: A new approach in evidence theory for comparing basic belief assignments

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. © 2009 Springer-Verlag Berlin Heidelberg.