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

Michel Grabisch and Christophe Labreuche ()
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Christophe Labreuche: Thales Research and Technology [Palaiseau] - THALES [France]

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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.

Keywords: Choquet integral; symmetric integral; Möbius transform; interaction (search for similar items in EconPapers)
Date: 2002-01
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00273184
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Citations: View citations in EconPapers (13)

Published in Statistical Papers, 2002, 43 (1), pp.37-52. ⟨10.1007/s00362-001-0085-4⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00273184

DOI: 10.1007/s00362-001-0085-4

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