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A compromise weight for multi-criteria group decision making with individual preference

Author

Listed:
  • Q Wei

    (Renmin University)

  • H Yan

    (The Hong Kong Polytechnic University)

  • J Ma

    (City University of Hong Kong)

  • Z Fan

    (Northeastern University)

Abstract

In a multi-criteria group decision making process, it is often hard to obtain a solution due to the possible conflict preferences from different participants and the undeterministic weights assigned to each criterion. This problem can be defined as to identify a set of weights for the given criteria to achieve a compromise of the conflict on different preferences. When such a compromise weight does not exist, we need to adjust (to reverse or to withdraw) some or all of the preferences from different participants. This paper describes a minimax principle based procedure of preference adjustments with a finite number of steps to find the compromise weight. At each iteration, we either find the weight or identify some ‘wrong’ preferences. We also define a consistency index for each participant to measure the distance between the individuals' preference and the final group decision. Corresponding theoretical work is referred to in support of the procedure, and numerical examples are provided for illustration. This study is further extended to the case of multiple assessments.

Suggested Citation

  • Q Wei & H Yan & J Ma & Z Fan, 2000. "A compromise weight for multi-criteria group decision making with individual preference," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(5), pages 625-634, May.
    • Handle: RePEc:pal:jorsoc:v:51:y:2000:i:5:d:10.1057_palgrave.jors.2600911
    DOI: 10.1057/palgrave.jors.2600911
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    Citations

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    Cited by:

    1. G-T Yeo & D-W Song & J Dinwoodie & M Roe, 2010. "Weighting the competitiveness factors for container ports under conflicting interests," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(8), pages 1249-1257, August.
    2. Garmendia, Eneko & Gamboa, Gonzalo, 2012. "Weighting social preferences in participatory multi-criteria evaluations: A case study on sustainable natural resource management," Ecological Economics, Elsevier, vol. 84(C), pages 110-120.
    3. Bérard, Céline, 2009. "Le processus de décision dans les systèmes complexes : une analyse d’une intervention systémique," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/6539 edited by Romelaer, Pierre & Cloutier, Martin L..
    4. Pilar Gargallo & José María Moreno-Jiménez & Manuel Salvador, 2007. "AHP-Group Decision Making: A Bayesian Approach Based on Mixtures for Group Pattern Identification," Group Decision and Negotiation, Springer, vol. 16(6), pages 485-506, November.
    5. Min Jiang & Rui Shen & Zhiqing Meng, 2019. "A Concession Equilibrium Solution Method without Weighted Aggregation Operators for Multiattribute Group Decision-Making Problems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-10, January.
    6. Sidong Xian & Yafen Dong & Yubo Yin, 2017. "Interval-valued intuitionistic fuzzy combined weighted averaging operator for group decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 895-905, August.
    7. Eneko Garmendia & Gonzalo Gamboa, 2012. "Weighting social preferences in participatory multi-criteria evaluations: a case study on sustainable natural resource management," Working Papers 2012-06, BC3.

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