The representation of conditional relative importance between criteria

Christophe Labreuche (1) , Michel Grabisch (2)

1 Thales Research and Technology [Palaiseau]
2 CES - Centre d'économie de la Sorbonne

We study in this paper the notion of conditional relative importance in a quantitative framework. Bi-capacities are shown to be suitable to represent such notion. We restrict ourself to the case when the relative importance of two criteria are conditional on a third being attractive or repulsive. We give two algorithms that enable to construct the neutral level from the preference relation.

Mots clés: multicriteria decision aid; bi-capacity; Choquet integral; reference point

Domaines: Economies et finances; Recherche opérationnelle [math.OC]

Christophe Labreuche, Michel Grabisch. The representation of conditional relative importance between criteria. Annals of Operations Research, 2007, 154 (1), pp.93-122. ⟨10.1007/s10479-007-0184-2⟩. ⟨halshs-00187184⟩