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A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

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Abstract

The main advances regarding the use of the Choquet and Sugeno integrals in multi-criteria decision aid over the last decade are reviewed. They concern mainly a bipolar extension of both the Choquet integral and the Sugeno integral, interesting particular submodels, new learning techniques, a better interpretation of the models and a better use of the Choquet integral in multi-criteria decision aid. Parallel to these theoretical works, the Choquet integral has been applied to many new fields, and several softwares and libraries dedicated to this model have been developed.

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  1. Centre d’Économie de la Sorbonne, 106-112, Bd. de l’Hôpital, 75103, Paris, France

    Michel Grabisch

  2. Thales Research & Technology, RD 128, 91767, Palaiseau Cedex, France

    Christophe Labreuche

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This is an updated version of the paper that appeared in 4OR 6, 1–44 (2008).

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Grabisch, M., Labreuche, C. A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. Ann Oper Res 175, 247–286 (2010). https://doi.org/10.1007/s10479-009-0655-8

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