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The Choquet integral for the aggregation of interval scales in multicriteria decision making

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  • Christophe Labreuche

    ()
    (TRT - Thales Research & Technology France - THALES)

  • Michel Grabisch

    ()
    (LIP6 - Laboratoire d'Informatique de Paris 6 - CNRS : UMR7606 - Université Pierre et Marie Curie - Paris VI)

Abstract

This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation of criteria (interacting criteria). We show that the conditions induced by these information plus some intuitive conditions lead to a unique possible aggregation operator: the Choquet integral.

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Bibliographic Info

Paper provided by HAL in its series Post-Print with number hal-00272090.

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Date of creation: 2003
Date of revision:
Publication status: Published, Fuzzy Sets and Systems, 2003, 137, 11-26
Handle: RePEc:hal:journl:hal-00272090

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00272090/en/
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  1. repec:hal:cesptp:hal-00268984 is not listed on IDEAS
  2. Michel Grabisch & Christophe Labreuche & Jean-Claude Vansnick, 2003. "On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria," Post-Print hal-00272780, HAL.
  3. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
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Cited by:
  1. repec:hal:cesptp:hal-00188165 is not listed on IDEAS
  2. repec:hal:cesptp:halshs-00625708 is not listed on IDEAS
  3. Kojadinovic, Ivan & Marichal, Jean-Luc, 2007. "Entropy of bi-capacities," European Journal of Operational Research, Elsevier, vol. 178(1), pages 168-184, April.
  4. repec:hal:journl:hal-00188165 is not listed on IDEAS
  5. Liginlal, Divakaran & Ow, Terence T., 2005. "On policy capturing with fuzzy measures," European Journal of Operational Research, Elsevier, vol. 167(2), pages 461-474, December.
  6. Labreuche, Christophe & Grabisch, Michel, 2006. "Generalized Choquet-like aggregation functions for handling bipolar scales," European Journal of Operational Research, Elsevier, vol. 172(3), pages 931-955, August.
  7. Kojadinovic, Ivan, 2007. "Minimum variance capacity identification," European Journal of Operational Research, Elsevier, vol. 177(1), pages 498-514, February.
  8. repec:hal:cesptp:halshs-00179068 is not listed on IDEAS
  9. Cliville, Vincent & Berrah, Lamia & Mauris, Gilles, 2007. "Quantitative expression and aggregation of performance measurements based on the MACBETH multi-criteria method," International Journal of Production Economics, Elsevier, vol. 105(1), pages 171-189, January.
  10. repec:hal:cesptp:halshs-00187184 is not listed on IDEAS
  11. repec:hal:journl:halshs-00496558 is not listed on IDEAS
  12. Michel Grabisch & Christophe Labreuche, 2004. "Fuzzy measures and integrals in MCDA," Post-Print halshs-00268985, HAL.
  13. repec:hal:cesptp:halshs-00340374 is not listed on IDEAS
  14. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A representation of preferences by the Choquet integral with respect to a 2-additive capacity," Theory and Decision, Springer, vol. 71(3), pages 297-324, September.
  15. Miranda, P. & Grabisch, M. & Gil, P., 2005. "Axiomatic structure of k-additive capacities," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 153-178, March.
  16. repec:hal:cesptp:halshs-00179830 is not listed on IDEAS
  17. repec:hal:cesptp:halshs-00267932 is not listed on IDEAS
  18. repec:hal:journl:halshs-00267932 is not listed on IDEAS
  19. repec:hal:cesptp:halshs-00496558 is not listed on IDEAS

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