The multicriteria methods based on pairwise comparisons suffer from possible rank reversal occurrences when the set of alternatives is modified. We study this distinctive feature in the scope of the PROMETHEE I and II methods. First, empirical tests are conducted on the basis of artificial datasets in order to quantify the likelihood of rank reversal instances. Then conditions to avoid this phenomenon are provided. Finally, a comparison with a procedure based on a distillation process is performed.
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Verly et al. (2013) studied this question.
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