Ordinal Multicriterion Methods

  • Jean-Charles Pomerol
  • Sergio Barba-Romero
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 25)


We saw in section 2.4 that the utility functions which represent the order are defined unique up to a strictly increasing transformation. We shall therefore say that a discrete multicriterion decision system is ordinal if the result it provides is invariant by strictly increasing transformation of the utilities. In other words, the result of such a method only depends on the decision maker’s preorders relative to each criterion. No change in utility function or unit, and no normalization can affect the result so long as the preorders do not vary.


Binary Relation Social Choice Social Choice Function Condorcet Winner Strict Preference 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Jean-Charles Pomerol
    • 1
  • Sergio Barba-Romero
    • 2
  1. 1.Université Pierre et Marie Curie de ParisFrance
  2. 2.Universidad de Alcala de HenaresSpain

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