The Symmetric and Asymmetric Choquet integrals on finite spaces for decision making
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.
|Date of creation:||Jan 2002|
|Date of revision:|
|Publication status:||Published in Statistical Papers, Springer Verlag, 2002, 43 (1), pp.37-52. <10.1007/s00362-001-0085-4>|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00273184|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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