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On Consensus of Group Decision Making with Interval Utility Values and Interval Preference Orderings

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  • Zeshui Xu

    (PLA University of Science and Technology)

  • Xiaoqiang Cai

    (The Chinese University of Hong Kong)

Abstract

Uncertainty is a common phenomenon in our real world. Interval utility values and interval preference orderings are two of the simplest and most convenient tools to describe uncertain preferences in decision making. In this paper, we investigate consensus problems in group decision making with interval utility values and interval preference orderings. We first establish their transformation relations, and give a formula for calculating the association coefficients of individual uncertain preferences and group ones. We then develop a consensus procedure for group decision making with interval utility values and interval preference orderings, which takes interval utility values as the uniform preference representation. This procedure can be reduced to a series of processes for dealing with some special group decision making situations, such as: group decision making with utility values and preference orderings, group decision making with interval utility values, group decision making with interval preference orderings, etc. Finally, we illustrate the applications of the developed procedures with two practical examples.

Suggested Citation

  • Zeshui Xu & Xiaoqiang Cai, 2013. "On Consensus of Group Decision Making with Interval Utility Values and Interval Preference Orderings," Group Decision and Negotiation, Springer, vol. 22(6), pages 997-1019, November.
    • Handle: RePEc:spr:grdene:v:22:y:2013:i:6:d:10.1007_s10726-012-9298-2
    DOI: 10.1007/s10726-012-9298-2
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    References listed on IDEAS

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    Cited by:

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    3. Gong, Zaiwu & Zhang, Huanhuan & Forrest, Jeffrey & Li, Lianshui & Xu, Xiaoxia, 2015. "Two consensus models based on the minimum cost and maximum return regarding either all individuals or one individual," European Journal of Operational Research, Elsevier, vol. 240(1), pages 183-192.
    4. Jianjun Zhu & Shitao Zhang & Ye Chen & Lili Zhang, 2016. "A Hierarchical Clustering Approach Based on Three-Dimensional Gray Relational Analysis for Clustering a Large Group of Decision Makers with Double Information," Group Decision and Negotiation, Springer, vol. 25(2), pages 325-354, March.
    5. J. C. R. Alcantud & R. Andrés Calle & J. M. Cascón, 2015. "Pairwise Dichotomous Cohesiveness Measures," Group Decision and Negotiation, Springer, vol. 24(5), pages 833-854, September.

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