Some results about rank reversal instances in the PROMETHEE methods

Céline Verly · Yves De Smet

47 citations0/0 files storedInternational Journal of Multicriteria Decision Making

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Multi-Criteria Decision Making Game Theory and Voting Systems Optimization and Mathematical Programming

Abstract

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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2005The Academic Ranking of World Universities 1983On a short-coming of Saaty's method of analytic hierarchies 1987The Theory of Ratio Scale Estimation: Saaty's Analytic Hierarchy Process 2005Fatal attraction: Conceptual and methodological problems in the ranking of universities by bibliometric methods 2006Ranking irregularities when evaluating alternatives by using some ELECTRE methods 2007Comparative study of international academic rankings of universities 1996A note on the use of PROMETHEE multicriteria methods 1994Ahp Rank Reversal, Normalization And Aggregation Rules

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