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

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 UTAGMS-GROUP and UTADISGMS-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.

► Extension of robust ordinal regression for multiple criteria group decision.
► Novel methods for multiple criteria group ranking and sorting problems.
► Taking into account all additive value functions compatible with the indirect preference information of DMs.
► The necessary and the possible for relations/assignments and coalitions of DMs.
► Novel methods for inconsistency resolution in group decision context.