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

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Author Info

  • Michel Grabisch

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

  • Christophe Labreuche

    ()
    (UMP CNRS/THALES - Unité mixte de physique CNRS/Thalès - CNRS : UMR137 - THALES)

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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Bibliographic Info

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00496558.

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Date of creation: Mar 2010
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Publication status: Published, Annals of Operations Research, 2010, 175, 1, 247-290
Handle: RePEc:hal:cesptp:halshs-00496558

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00496558
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Related research

Keywords: Choquet integral; Sugeno integral; capacity; bipolarity; preferences;

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References

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  1. Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090, HAL.
  2. Michel Grabisch & Eric Raufaste, 2008. "An empirical study of statistical properties of Choquet and Sugeno integrals," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445168, HAL.
  3. repec:hal:journl:halshs-00186907 is not listed on IDEAS
  4. repec:hal:journl:halshs-00187184 is not listed on IDEAS
  5. Christophe Labreuche & Michel Grabisch, 2007. "The representation of conditional relative importance between criteria," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00187184, HAL.
  6. Labreuche, Christophe & Grabisch, Michel, 2006. "Generalized Choquet-like aggregation functions for handling bipolar scales," European Journal of Operational Research, Elsevier, Elsevier, vol. 172(3), pages 931-955, August.
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Citations

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Cited by:
  1. Amit Kothiyal & Vitalie Spinu & Peter Wakker, 2014. "An experimental test of prospect theory for predicting choice under ambiguity," Journal of Risk and Uncertainty, Springer, Springer, vol. 48(1), pages 1-17, February.
  2. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A characterization of the 2-additive Choquet integral through cardinal information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00625708, HAL.
  3. Silvia Bortot & Ricardo Alberto Marques Pereira, 2011. "Inconsistency and non-additive Choquet integration in the Analytic Hierarchy Process," DISA Working Papers, Department of Computer and Management Sciences, University of Trento, Italy 2011/06, Department of Computer and Management Sciences, University of Trento, Italy, revised 29 Jul 2011.
  4. Ulrich Faigle & Michel Grabisch, 2011. "A Discrete Choquet Integral for Ordered Systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00563926, HAL.
  5. repec:hal:journl:halshs-00496558 is not listed on IDEAS
  6. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00625706, HAL.
  7. Yaarit Even & Ehud Lehrer, 2014. "Decomposition-integral: unifying Choquet and the concave integrals," Economic Theory, Springer, Springer, vol. 56(1), pages 33-58, May.
  8. Bana e Costa, Carlos A. & Carnero, María Carmen & Oliveira, Mónica Duarte, 2012. "A multi-criteria model for auditing a Predictive Maintenance Programme," European Journal of Operational Research, Elsevier, Elsevier, vol. 217(2), pages 381-393.
  9. Alessio Bonetti & Silvia Bortot & Mario Fedrizzi & Silvio Giove & Ricardo Alberto Marques Pereira & Andrea Molinari, 2011. "Modelling group processes and effort estimation in Project Management using the Choquet integral: an MCDM approach," DISA Working Papers, Department of Computer and Management Sciences, University of Trento, Italy 2011/12, Department of Computer and Management Sciences, University of Trento, Italy, revised Sep 2011.
  10. Silvia Bortot & Mario Fedrizzi & Silvio Giove, 2011. "Modelling fraud detection by attack trees and Choquet integral," DISA Working Papers, Department of Computer and Management Sciences, University of Trento, Italy 2011/09, Department of Computer and Management Sciences, University of Trento, Italy, revised 31 Aug 2011.

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