Preference modelling on totally ordered sets by the Sugeno integral

Agnès Rico (1, 2) , Michel Grabisch (3) , Christophe Labreuche (1) , Alain Chateauneuf (2)

1 Thales Research and Technology [Palaiseau]
2 CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique
3 DECISION

We present in this paper necessary and sufficient conditions for the representation of preferences in a decision making problem, by the Sugeno integral, in a purely ordinal framework. We distinguish between strong and weak representations.

Mots clés: Preference representation; Sugeno integral; Ordinal information

Domaines: Mathématique discrète [cs.DM]; Economies et finances; Recherche opérationnelle [math.OC]

Agnès Rico, Michel Grabisch, Christophe Labreuche, Alain Chateauneuf. Preference modelling on totally ordered sets by the Sugeno integral. Discrete Applied Mathematics, 2005, 147 (1), pp.113-124. ⟨10.1016/j.dam.2004.06.025⟩. ⟨hal-00268984⟩