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The symmetric and asymmetric Choquet integrals on finite spaces for decision making. (English) Zbl 1058.91020

Authors’ summary: 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 interpretations in multicriteria decision making (MCDM). The last part of the paper shows the application of these two integrals in MCDM.

MSC:

91B06 Decision theory
28E10 Fuzzy measure theory

Keywords:

capacities
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References:

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