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A characterization of the 2-additive Choquet integral

Mayag, Brice; Grabisch, Michel; Labreuche, Christophe (2008), A characterization of the 2-additive Choquet integral, 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2008), 2008-06, Malaga, Espagne

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Type
Communication / Conférence
Date
2008
Titre du colloque
12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2008)
Date du colloque
2008-06
Ville du colloque
Malaga
Pays du colloque
Espagne
Pages
7
Métadonnées
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Auteur(s)
Mayag, Brice
Grabisch, Michel cc
Labreuche, Christophe
Résumé (EN)
We present the necessary and sufficient conditions on ordinal preferential information provided by the decision maker for the existence of a 2-additive capacity such that the Choquet integral w.r.t. this capacity represents the preference of the decision maker. These conditions help the decision-maker to understand the main reasons of the recommendations made when inconsistencies occur in his preferences on the set of binary actions.
Mots-clés
Choquet integral; ordinal information; 2-additive capacity; binary actions