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A Consensus Gap Indicator and Its Application to Group Decision Making

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  • Fujun Hou

    (Beijing Institute of Technology)

Abstract

A prametric is introduced for describing the consensus gap in group decision making problem and a consensus formation procedure is proposed. It is assumed that each individual’s ties-permitted ordinal ranking constitutes a partition of the alternative set, and that the alternatives in a tie are ranked together occupying consecutive positions. A preference sequence matrix is thus constructed with entries indicating the alternatives’ potential positions by the expert’s preferences. To elicit the group ranking, a certain prametric, namely, the consensus gap indicator is defined for measuring the consensus gap between two preference sequences with ties. Some properties are elaborated, among which an inequality is used to get the potential ties-permitted compromise ranking. An illustrative example is also included.

Suggested Citation

  • Fujun Hou, 2015. "A Consensus Gap Indicator and Its Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 24(3), pages 415-428, May.
    • Handle: RePEc:spr:grdene:v:24:y:2015:i:3:d:10.1007_s10726-014-9396-4
    DOI: 10.1007/s10726-014-9396-4
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    References listed on IDEAS

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    7. Cook, Wade D., 2006. "Distance-based and ad hoc consensus models in ordinal preference ranking," European Journal of Operational Research, Elsevier, vol. 172(2), pages 369-385, July.
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    Cited by:

    1. Zhibin Wu & Jie Xiao & Ivan Palomares, 2019. "Direct Iterative Procedures for Consensus Building with Additive Preference Relations Based on the Discrete Assessment Scale," Group Decision and Negotiation, Springer, vol. 28(6), pages 1167-1191, December.
    2. Hou, Fujun & Triantaphyllou, Evangelos, 2019. "An iterative approach for achieving consensus when ranking a finite set of alternatives by a group of experts," European Journal of Operational Research, Elsevier, vol. 275(2), pages 570-579.
    3. Triantaphyllou, Evangelos & Yanase, Juri & Hou, Fujun, 2020. "Post-consensus analysis of group decision making processes by means of a graph theoretic and an association rules mining approach," Omega, Elsevier, vol. 94(C).
    4. Fujun Hou, 2018. "Mutual Conversion Between Preference Maps And Cook-Seiford Vectors," Papers 1812.03566, arXiv.org.
    5. Fujun Hou, 2018. "Measuring Knowledge for Recognition and Knowledge Entropy," Papers 1811.06135, arXiv.org.
    6. Fujun Hou, 2016. "The Prametric-Based GDM Procedure Under Fuzzy Environment," Group Decision and Negotiation, Springer, vol. 25(5), pages 1071-1084, September.

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