The Symmetric and Asymmetric Choquet integrals on finite spaces fordecision making

In 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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Year of publication:	2002
Authors:	Grabisch, Michel ; Labreuche, Christophe
Institutions:	HAL
Subject:	Choquet integral \| symmetric integral \| Möbius transform \| interaction

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Language:	French
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00273184/en/ Published, Statistical Papers, 2002, 37-52
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008792801