The Symmetric and Asymmetric Choquet integrals on finite spaces fordecision making
AbstractIn this paper, we give a mathematical analysis of symmetric and asymmetricChoquet integrals in the view of decision making in a finite setting. Theseintegrals present two ways of dealing with negative integrands. The analysis isdone with the aid of the Möbius and interaction transforms, this last onehaving an interesting interpretation in multicriteria decision making(MCDM). The last part of the paper shows the application of these two integralsin MCDM.
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Bibliographic InfoPaper provided by HAL in its series Post-Print with number halshs-00273184.
Date of creation: 2002
Date of revision:
Publication status: Published, Statistical Papers, 2002, 37-52
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Choquet integral; symmetric integral; Möbius transform; interaction;
Other versions of this item:
- Michel Grabisch & Christophe Labreuche, 2002. "The symmetric and asymmetric Choquet integrals on finite spaces for decision making," Statistical Papers, Springer, vol. 43(1), pages 37-52, January.
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- Michel Grabisch & Christophe Labreuche & Jean-Claude Vansnick, 2003.
"On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria,"
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