A Methaheuristic approach for preference Learning in multi criteria ranking based on reference points.
Résumé
In this paper, we are interested in a family of multi-
criteria ranking methods called Ranking with Multiple reference
Points (RMP). This method is based on pairwise comparisons, but
instead of directly comparing any pair of alternatives, it compares
rather the alternatives to a set of predefined reference points. We
actually focus on a Simplified RMP model (S-RMP) in which the
preference parameters include the criteria weights and the set of ref-
erence points ordered by importance. Elicitation of the parameters
(from the data provided by the decision makers) leads us to the pref-
erence learning algorithms that cannot only be applied on relatively
small dataset. Therefore, we propose in this work a preference learn-
ing methodology for learning S-RMP models from a large set of pair-
wise comparisons of alternatives. The newly proposed algorithm is
a combination of an Evolutionary Algorithm and a Linear Program-
ming approach. Empirical results and analysis are also presented.
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