Dealing with interaction between bipolar multiple criteria preferences in PROMETHEE methods

Salvatore Corrente, José Rui Figueira, Salvatore Greco

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Abstract

In this paper we extend the PROMETHEE methods to the case of interacting criteria on a bipolar scale, introducing the bipolar PROMETHEE method based on the bipolar Choquet integral. In order to elicit parameters compatible with preference information provided by the Decision Maker (DM), we propose to apply the Robust Ordinal Regression (ROR). ROR takes into account simultaneously all the sets of parameters compatible with the preference information provided by the DM considering a necessary and a possible preference relation.
Original languageEnglish
Pages (from-to)137-164
JournalAnnals of Operations Research
Volume217
Issue number1
Early online date15 Mar 2014
DOIs
Publication statusPublished - 1 Jun 2014

Keywords

  • PROMETHEE methods
  • Interaction between criteria
  • Bipolar Choquet integral

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