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

Abstract : 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.
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Submitted on : Thursday, September 22, 2011 - 2:11:06 PM
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Brice Mayag, Michel Grabisch, Christophe Labreuche. A characterization of the 2-additive Choquet integral through cardinal information. Fuzzy Sets and Systems, Elsevier, 2011, 184 (1), pp.84-105. ⟨10.1016/j.fss.2010.10.012⟩. ⟨halshs-00625708⟩

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