Multi-criteria Decision Making Based on PROMETHEE Method

Given a finite set of alternatives, the multi-criteria decision making problem consists in ranking each alternative from the best to the worst ones. In this paper, we are interested in multi-criteria ranking problems in the existing method PROMETHEE(Preference Ranking Organization Method for Enrichment Evaluations). This method requires the elicitation of preferential parameters in order to construct a preference model which the decision maker accept as a working hypothesis in the decision aiding study. A direct elicitation of these parameters requiring a high cognitive effort from the decision maker, proposed an interactive aggregation-disaggregation approach that infers the PROMETHEE parameters indirectly from holistic information, i.e., training examples. In this approach, the determination of PROMETHEE parameters that best restore the training examples is formulated through a linear program. In this paper, we consider the subproblem of the determination of the weights only(the thresholds being fixed). The subproblem leads to solve a linear program. Numerical experiments were conducted so as to check the behavior of this disaggregation tool. Results shows that this tool is able to infer weights that restores in a stable way the training examples.