Robust ordinal regression for multiple criteria group decision: UTAGMS-GROUP and UTADISGMS-GROUP

Authors:
Salvatore Greco;Miłosz Kadziński;Vincent Mousseau;Roman Słowiński
Affiliations:
Faculty of Economics, University of Catania, Corso Italia, 55, 95129 Catania, Italy;Institute of Computing Science, Poznań University of Technology, 60-965 Poznań, Poland;Laboratoire Génie Industriel, Ecole Centrale Paris, Grande Voie des Vignes, 92 295 Chítenay-Malabry Cedex, France;Institute of Computing Science, Poznań University of Technology, 60-965 Poznań, Poland and Systems Research Institute, Polish Academy of Sciences, 01-447 Warsaw, Poland
Venue:
Decision Support Systems
Year:
2012

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Abstract

We introduce the principle of robust ordinal regression to multiple criteria group decision, and we present two new methods using a set of additive value functions as a preference model, called UTA^G^M^S-GROUP and UTADIS^G^M^S-GROUP. With respect to the set of decision makers (DMs), we consider two levels of certainty for the results. The first level is related to the necessary or possible consequences of indirect preference information provided by each DM, whereas the other refers to the subset of DMs agreeing for a specific outcome. In this way, we investigate spaces of consensus and disagreement between the DMs. The proposed methods are illustrated by examples showing how they can support real-world group decision.