Logical foundation of multi-criteria decision-aiding

In this chapter, we would like to show Bernard Roy’s contribution to modern computational logic. Therefore we first present his logical approach for multi-criteria preference modelling. Here, decision aid is based upon a refined methodological construction, that provides the family of criteria with important logical properties giving access to the concordance principle used for aggregating preferential assertions from multiple semiotical points of view. In a second section, we introduce the semiotical foundation of the concordance principle and present a new formulation of the concordance principle with its associated necessary coherence axioms imposed on the family of criteria. This new methodological framework allows us, in a third part, to extend the classical concordance principle and its associated coherence axioms imposed on the family of criteria – first to potentially redundant criteria, – but also to missing individual evaluations and even partial
performance tableaux.