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A consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information

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  • Wancheng Zhang
  • Yejun Xu
  • Huimin Wang

Abstract

The aim of this paper is to put forward a consensus reaching method for multi-attribute group decision-making (MAGDM) problems with linguistic information, in which the weight information of experts and attributes is unknown. First, some basic concepts and operational laws of 2-tuple linguistic label are introduced. Then, a grey relational analysis method and a maximising deviation method are proposed to calculate the incomplete weight information of experts and attributes respectively. To eliminate the conflict in the group, a weight-updating model is employed to derive the weights of experts based on their contribution to the consensus reaching process. After conflict elimination, the final group preference can be obtained which will give the ranking of the alternatives. The model can effectively avoid information distortion which is occurred regularly in the linguistic information processing. Finally, an illustrative example is given to illustrate the application of the proposed method and comparative analysis with the existing methods are offered to show the advantages of the proposed method.

Suggested Citation

  • Wancheng Zhang & Yejun Xu & Huimin Wang, 2016. "A consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 389-405, January.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:389-405
    DOI: 10.1080/00207721.2015.1074761
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    Cited by:

    1. Arshad Ahmad Khan & Muhammad Qiyas & Saleem Abdullah & Jianchao Luo & Mahwish Bano, 2019. "Analysis of Robot Selection Based on 2-Tuple Picture Fuzzy Linguistic Aggregation Operators," Mathematics, MDPI, vol. 7(10), pages 1-19, October.
    2. Liu, Hu-Chen & Li, Zhaojun & Zhang, Jian-Qing & You, Xiao-Yue, 2018. "A large group decision making approach for dependence assessment in human reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 135-144.
    3. Huijuan Wang & Xin Wang & Lidong Wang, 2019. "Multicriteria Decision Making Based on Archimedean Bonferroni Mean Operators of Hesitant Fermatean 2-Tuple Linguistic Terms," Complexity, Hindawi, vol. 2019, pages 1-19, December.
    4. Liu, Bingsheng & Zhou, Qi & Ding, Ru-Xi & Palomares, Iván & Herrera, Francisco, 2019. "Large-scale group decision making model based on social network analysis: Trust relationship-based conflict detection and elimination," European Journal of Operational Research, Elsevier, vol. 275(2), pages 737-754.

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