Ordinal aggregation and strict preferences for multi-attributed alternatives (2002, révisé juin 2003)

Denis Bouyssou (1) , Marc Pirlot (2)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision
2 Faculté polytechnique de Mons

This paper studies strict preference relations on product sets induced by “ordinal aggregation methods”. Such methods are interpreted here as performing paired comparisons of alternatives based on the “importance” of attributes favoring each element of the pair: alternative x will be preferred to alternative y if the attributes for which x is better than y are “more important” than the attributes for which y is better than x. Based on a general framework for conjoint measurement that allows for intransitive preferences, we propose a characterization of such preference relations. This characterization shows that the originality of these relations lies in their very crude way to distinguish various levels of “preference differences” on each attribute when compared to the preference relations usually studied in conjoint measurement. The relation between such preference relations and P. C. Fishburn's noncompensatory preferences is investigated.

Mots clés: Conjoint measurement; Ordinal aggregation; Nontransitive preferences; Noncompensatory preferences.; Noncompensatory preferences

Denis Bouyssou, Marc Pirlot. Ordinal aggregation and strict preferences for multi-attributed alternatives (2002, révisé juin 2003). 2005. ⟨hal-00004097⟩