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The representation of conditional relative importance between criteria

Author

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  • Christophe Labreuche

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

  • Michel Grabisch

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We study in this paper the notion of conditional relative importance in a quantitative framework. Bi-capacities are shown to be suitable to represent such notion. We restrict ourself to the case when the relative importance of two criteria are conditional on a third being attractive or repulsive. We give two algorithms that enable to construct the neutral level from the preference relation.

Suggested Citation

  • Christophe Labreuche & Michel Grabisch, 2007. "The representation of conditional relative importance between criteria," Post-Print halshs-00187184, HAL.
    • Handle: RePEc:hal:journl:halshs-00187184
    DOI: 10.1007/s10479-007-0184-2
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00187184v1
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    Cited by:

    1. Labreuche, Christophe & Grabisch, Michel, 2018. "Using multiple reference levels in Multi-Criteria Decision aid: The Generalized-Additive Independence model and the Choquet integral approaches," European Journal of Operational Research, Elsevier, vol. 267(2), pages 598-611.
    2. Michel Grabisch & Christophe Labreuche, 2010. "A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid," Annals of Operations Research, Springer, vol. 175(1), pages 247-286, March.
    3. Hunt, Brian J. & Wiecek, Margaret M. & Hughes, Colleen S., 2010. "Relative importance of criteria in multiobjective programming: A cone-based approach," European Journal of Operational Research, Elsevier, vol. 207(2), pages 936-945, December.
    4. Christophe Labreuche, 2018. "An axiomatization of the Choquet integral in the context of multiple criteria decision making without any commensurability assumption," Annals of Operations Research, Springer, vol. 271(2), pages 701-735, December.
    5. Hung Nguyen & Uyen Pham & Hien Tran, 2012. "On some claims related to Choquet integral risk measures," Annals of Operations Research, Springer, vol. 195(1), pages 5-31, May.

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