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An Agreement Index with Respect to a Consensus Preorder

Author

Listed:
  • Khaled Jabeur

    (Institut Supérieur de Commerce et de Comptabilité de Bizerte (ISCCB))

  • Jean-Marc Martel

    (Université Laval)

Abstract

In this paper, we propose an index to measure the agreement level of an individual preorder with respect to a collective preorder (or reference preorder). The originality of the proposed index consists in the two following facts: (i) it quantifies the agreement level between two preorders which are not necessarily complete (i.e. they may include the incomparability relation), a preference system rarely tackled in the literature and (ii) it takes into account the positions of the alternatives in the individual preorder. The proposed index is then used to compute, within the framework of a consensus preorder research, the agreement level of all group’s members with respect to a collective preorder.

Suggested Citation

  • Khaled Jabeur & Jean-Marc Martel, 2010. "An Agreement Index with Respect to a Consensus Preorder," Group Decision and Negotiation, Springer, vol. 19(6), pages 571-590, November.
    • Handle: RePEc:spr:grdene:v:19:y:2010:i:6:d:10.1007_s10726-009-9160-3
    DOI: 10.1007/s10726-009-9160-3
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    References listed on IDEAS

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    1. Tommi Meskanen & Hannu Nurmi, 2006. "Distance from Consensus: A Theme and Variations," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 117-132, Springer.
    2. Khaled Jabeur & Jean-Marc Martel & Slim Ben Khélifa, 2004. "A Distance-Based Collective Preorder Integrating the Relative Importance of the Group's Members," Group Decision and Negotiation, Springer, vol. 13(4), pages 327-349, July.
    3. Slim Ben Khelifa & Jean-Marc Martel, 2001. "A Distance-Based Collective Weak Ordering," Group Decision and Negotiation, Springer, vol. 10(4), pages 317-329, July.
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    8. Leger, Julien & Martel, Jean-Marc, 2002. "A multicriteria assignment procedure for a nominal sorting problematic," European Journal of Operational Research, Elsevier, vol. 138(2), pages 349-364, April.
    9. Figueira, Jose & Roy, Bernard, 2002. "Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure," European Journal of Operational Research, Elsevier, vol. 139(2), pages 317-326, June.
    10. F B Abdelaziz & J M Martel & A Mselmi, 2004. "IMGD: an interactive method for multiobjective group decision aid," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(5), pages 464-474, May.
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    Cited by:

    1. Chun-xiang Guo & Ying Peng, 2015. "Lattice Order Group Decision Making with Interval Probability Based on Prospect Theory," Group Decision and Negotiation, Springer, vol. 24(5), pages 753-775, September.
    2. Jiuping Xu & Zhibin Wu & Yuan Zhang, 2014. "A Consensus Based Method for Multi-criteria Group Decision Making Under Uncertain Linguistic Setting," Group Decision and Negotiation, Springer, vol. 23(1), pages 127-148, January.
    3. Ben Amor, Sarah & Martel, Jean-Marc, 2014. "A new distance measure including the weak preference relation: Application to the multiple criteria aggregation procedure for mixed evaluations," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1165-1169.

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