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

Author

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  • Christophe Labreuche

    () (Thales Research and Technology [Palaiseau] - THALES)

  • Michel Grabisch

    () (SYSDEF - Systèmes d'aide à la décision et à la formation - LIP6 - Laboratoire d'Informatique de Paris 6 - UPMC - Université Pierre et Marie Curie - Paris 6 - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090, HAL.
  • Handle: RePEc:hal:journl:hal-00272090
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00272090
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    File URL: https://hal.archives-ouvertes.fr/hal-00272090/document
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    References listed on IDEAS

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    1. Grabisch, Michel & Labreuche, Christophe & Vansnick, Jean-Claude, 2003. "On the extension of pseudo-Boolean functions for the aggregation of interacting criteria," European Journal of Operational Research, Elsevier, vol. 148(1), pages 28-47, July.
    2. Agnès Rico & Michel Grabisch & Christophe Labreuche & Alain Chateauneuf, 2005. "Preference modelling on totally ordered sets by the Sugeno integral," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00268984, 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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