A characterization of the 2-additive Choquet integral through cardinal information

Brice Mayag (1) , Michel Grabisch (2) , Christophe Labreuche (3)

1 LGI - Laboratoire Génie Industriel - EA 2606
2 CES - Centre d'économie de la Sorbonne
3 Laboratoire Albert Fert (ex-UMPhy Unité mixte de physique CNRS/Thales)

In the context of multiple criteria decision analysis, we present the necessary and sufficient conditions to represent a cardinal preferential information by the Choquet integral w.r.t. a 2-additive capacity. These conditions are based on some complex cycles called cyclones.

Mots clés: MCDA; Choquet integral; 2-Additive capacity; MACBETH methodology

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

Brice Mayag, Michel Grabisch, Christophe Labreuche. A characterization of the 2-additive Choquet integral through cardinal information. Fuzzy Sets and Systems, 2011, 184 (1), pp.84-105. ⟨10.1016/j.fss.2010.10.012⟩. ⟨halshs-00625708⟩