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Aggregation and consensus for preference relations based on fuzzy partial orders

Author

Listed:
  • Gleb Beliakov

    (Deakin University)

  • Simon James

    (Deakin University)

  • Tim Wilkin

    (Deakin University)

Abstract

We propose a framework for eliciting and aggregating pairwise preference relations based on the assumption of an underlying fuzzy partial order. We also propose some linear programming optimization methods for ensuring consistency either as part of the aggregation phase or as a pre- or post-processing task. We contend that this framework of pairwise-preference relations, based on the Kemeny distance, can be less sensitive to extreme or biased opinions and is also less complex to elicit from experts. We provide some examples and outline their relevant properties and associated concepts.

Suggested Citation

  • Gleb Beliakov & Simon James & Tim Wilkin, 2017. "Aggregation and consensus for preference relations based on fuzzy partial orders," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 409-428, December.
    • Handle: RePEc:spr:fuzodm:v:16:y:2017:i:4:d:10.1007_s10700-016-9258-4
    DOI: 10.1007/s10700-016-9258-4
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    References listed on IDEAS

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    1. B. Baets & H. Meyer & B. Schuymer, 2006. "Cyclic Evaluation of Transitivity of Reciprocal Relations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 217-238, April.
    2. José Luis Garcí a-Lapresta & Bonifacio Llamazares, 2010. "Preference Intensities and Majority Decisions Based on Difference of Support Between Alternatives," Group Decision and Negotiation, Springer, vol. 19(6), pages 527-542, November.
    3. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
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    Cited by:

    1. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    2. Jie Tang & Fanyong Meng & Francisco Javier Cabrerizo & Enrique Herrera-Viedma, 2019. "A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 18(4), pages 493-527, December.

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