The Symmetric and Asymmetric Choquet integrals on finite spaces for decision making

Abstract : In this paper, we give a mathematical analysis of symmetric and asymmetric Choquet integrals in the view of decision making in a finite setting. These integrals present two ways of dealing with negative integrands. The analysis is done with the aid of the Möbius and interaction transforms, this last one having an interesting interpretation in multicriteria decision making (MCDM). The last part of the paper shows the application of these two integrals in MCDM.
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Michel Grabisch, Christophe Labreuche. The Symmetric and Asymmetric Choquet integrals on finite spaces for decision making. Statistical Papers, Springer Verlag, 2002, 43 (1), pp.37-52. ⟨10.1007/s00362-001-0085-4⟩. ⟨halshs-00273184⟩

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