A Characterization of the 2-Additive Symmetric Choquet Integral Using Trinary Alternatives

Brice Mayag (1)

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

In a context of Multiple Criteria Decision Aid, we present some necessary and sufficient conditions to obtain a symmetric Choquet integral compatible with some preferences on a particular set of alternatives. These axioms are based on the notion of strict cycle and the MOPI conditions.

Mots clés: Choquet integral; binary alternatives; capacity; trinary alternatives

Domaines: Informatique [cs]

Brice Mayag. A Characterization of the 2-Additive Symmetric Choquet Integral Using Trinary Alternatives. 15th International Conference, IPMU 2014, Jul 2014, Montpellier, France. pp.266-275, ⟨10.1007/978-3-319-08795-5_28⟩. ⟨hal-01409837⟩