Rank Reversal
Many pair-wise comparison MCDA methods (such as ELECTRE and PROMETHEE) suffer from rank reversal:
- the relative position of two alternatives may be influenced by the presence of a third one
- i.e. Independence to Third Alternatives criterion is not satisfied
A position of two alternatives can be affected by
- removing Non-Discriminating Criteria
- removing / adding a copy of an alternative
- removing / adding a new criteria
- presence of a dominated alternative
- removing a dominated alternative
This may lead to:
- Risk of manipulation
This issue occurs in:
- ELECTRE
- PROMETHEE both I and II (see Rank Reversal in PROMETHEE)
Links
- http://en.wikipedia.org/wiki/Rank_reversals_in_decision-making
Sources
- Decision Engineering (ULB)
- An Introduction to Multicriteria Decision Aid: The PROMETHEE and GAIA Methods, Yves De Smet, Karim Lidouh, 2013