The SMAA-PROMETHEE methods

PROMETHEE methods are widely used in Multiple Criteria Decision Aiding (MCDA) to deal with real decision making problems. A crucial aspect of the classical PROMETHEE methods is the choice of criteria weights. In this paper, we propose to apply the Stochastic Multiobjective Acceptability Analysis (SMAA) to the classical PROMETHEE methods and to the bipolar PROMETHEE methods in order to explore the whole set of weights compatible with some preference information provided by the Decision Maker (DM). A didactic example describes the application of the presented methodology to a student evaluation problem.