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Managing flexible linguistic expression and ordinal classification-based consensus in large-scale multi-attribute group decision making

Author

Listed:
  • Hengjie Zhang

    (Hohai University)

  • Wenfeng Zhu

    (Hohai University)

  • Xin Chen

    (South China University of Technology)

  • Yuzhu Wu

    (Southwestern University of Finance and Economics)

  • Haiming Liang

    (Sichuan University)

  • Cong-Cong Li

    (Southwest Jiaotong University)

  • Yucheng Dong

    (Sichuan University
    Shenzhen Institute of Information Technology)

Abstract

The consensus reaching process (CRP) is often utilized to mitigate conflicts among decision makers and help them reach an agreement. Almost all existing CRP models focused on obtaining a consensual complete ranking of alternatives. However, in many situations, it may be sufficient to classify alternatives into a number of ordinal classes rather than a complete ranking. To this end, this study proposes an ordinal classification-based CRP (OCCRP) with the aim to generate consensual ordinal classes of alternatives. Further, this study investigates the OCCRP in the large-scale multi-attribute group decision making context, in which flexible linguistic expression is used to model uncertain opinions of decision makers. In the OCCRP, an approach is proposed to manage flexible linguistic expression by transforming it into linguistic distribution assessment. Then, an opinion clustering and aggregation approach is used to deal with the assessment information of the large group. Next, an approach-based technique for order performance by similarity to ideal solution is used to obtain the ordinal classification of alternatives. Following this, a feedback adjustment mechanism is presented to help decision makers improve their consensus level on the ordinal classification of alternatives. Finally, a numerical example about grape wine grading problem and a comparative analysis are presented to demonstrate the validity of the proposal.

Suggested Citation

  • Hengjie Zhang & Wenfeng Zhu & Xin Chen & Yuzhu Wu & Haiming Liang & Cong-Cong Li & Yucheng Dong, 2024. "Managing flexible linguistic expression and ordinal classification-based consensus in large-scale multi-attribute group decision making," Annals of Operations Research, Springer, vol. 341(1), pages 95-148, October.
    • Handle: RePEc:spr:annopr:v:341:y:2024:i:1:d:10.1007_s10479-022-04687-3
    DOI: 10.1007/s10479-022-04687-3
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    References listed on IDEAS

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    1. Dorit S. Hochbaum & Asaf Levin, 2006. "Methodologies and Algorithms for Group-Rankings Decision," Management Science, INFORMS, vol. 52(9), pages 1394-1408, September.
    2. Cong-Cong Li & Yuan Gao & Yucheng Dong, 2021. "Managing Ignorance Elements and Personalized Individual Semantics Under Incomplete Linguistic Distribution Context in Group Decision Making," Group Decision and Negotiation, Springer, vol. 30(1), pages 97-118, February.
    3. Zhibin Wu & Jiuping Xu & Zeshui Xu, 2016. "A multiple attribute group decision making framework for the evaluation of lean practices at logistics distribution centers," Annals of Operations Research, Springer, vol. 247(2), pages 735-757, December.
    4. Bowen Zhang & Yucheng Dong & Enrique Herrera-Viedma, 2019. "Group Decision Making with Heterogeneous Preference Structures: An Automatic Mechanism to Support Consensus Reaching," Group Decision and Negotiation, Springer, vol. 28(3), pages 585-617, June.
    5. Zhang, Hengjie & Dong, Yucheng & Chiclana, Francisco & Yu, Shui, 2019. "Consensus efficiency in group decision making: A comprehensive comparative study and its optimal design," European Journal of Operational Research, Elsevier, vol. 275(2), pages 580-598.
    6. Wu, Zhibin & Xu, Jiuping, 2016. "Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations," Omega, Elsevier, vol. 65(C), pages 28-40.
    7. Yucheng Dong & Yao Li & Ying He & Xia Chen, 2021. "Preference–Approval Structures in Group Decision Making: Axiomatic Distance and Aggregation," Decision Analysis, INFORMS, vol. 18(4), pages 273-295, December.
    8. Wenyu Yu & Zhen Zhang & Qiuyan Zhong, 2021. "Consensus reaching for MAGDM with multi-granular hesitant fuzzy linguistic term sets: a minimum adjustment-based approach," Annals of Operations Research, Springer, vol. 300(2), pages 443-466, May.
    9. Chao, Xiangrui & Kou, Gang & Peng, Yi & Viedma, Enrique Herrera, 2021. "Large-scale group decision-making with non-cooperative behaviors and heterogeneous preferences: An application in financial inclusion," European Journal of Operational Research, Elsevier, vol. 288(1), pages 271-293.
    10. Xin Chen & Weijun Xu & Haiming Liang & Yucheng Dong, 2020. "The classification-based consensus in multi-attribute group decision-making," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(9), pages 1375-1389, September.
    11. Hengjie Zhang & Yucheng Dong & Jing Xiao & Francisco Chiclana & Enrique Herrera-Viedma, 2020. "Personalized individual semantics-based approach for linguistic failure modes and effects analysis with incomplete preference information," IISE Transactions, Taylor & Francis Journals, vol. 52(11), pages 1275-1296, November.
    12. Kim, Soung Hie & Choi, Sang Hyun & Kim, Jae Kyeong, 1999. "An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach," European Journal of Operational Research, Elsevier, vol. 118(1), pages 139-152, October.
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