Rank Reversal

Many pair-wise comparison MCDA methods (such as ELECTRE and PROMETHEE) suffer from rank reversal:

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:



  • Decision Engineering (ULB)
  • An Introduction to Multicriteria Decision Aid: The PROMETHEE and GAIA Methods, Yves De Smet, Karim Lidouh, 2013