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Probabilistic Linguistic Multiple Attribute Group Decision-Making Based on a Choquet Operator and Its Application in Supplier Selection

Author

Listed:
  • Weijia Kang

    (Department of Management Engineering and Equipment Economics, Naval University of Engineering, Wuhan 430033, China
    These authors contributed equally to this work.)

  • Xin Liang

    (Department of Management Engineering and Equipment Economics, Naval University of Engineering, Wuhan 430033, China
    These authors contributed equally to this work.)

  • Yan Peng

    (Department of Management Engineering and Equipment Economics, Naval University of Engineering, Wuhan 430033, China)

Abstract

As an enhanced version of traditional linguistic term sets, Probabilistic Linguistic Term Sets (PLTS) incorporate probabilistic information, thereby offering a more robust approach to Multiple Attribute Group Decision-Making (MAGDM) and significantly improving its efficacy. This paper proposes two novel information aggregation operators for PLTS to address MAGDM problems in the PLTS context. Firstly, we introduce Choquet integral-based generalized arithmetic and geometric operators, which are designed to fuse decision information expressed by different PLTSs, thereby more comprehensively considering the interrelationships among various attributes. Subsequently, we further define measures of group consistency and inconsistency for individual decision information in MAGDM, which are used to determine the information weights of decision-makers. Finally, the group decision information is aggregated using the proposed PLTS aggregation operators. The effectiveness as well as the applicability of the developed method are illustrated through numerical examples and comparative analysis.

Suggested Citation

  • Weijia Kang & Xin Liang & Yan Peng, 2025. "Probabilistic Linguistic Multiple Attribute Group Decision-Making Based on a Choquet Operator and Its Application in Supplier Selection," Mathematics, MDPI, vol. 13(5), pages 1-24, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:740-:d:1598923
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    References listed on IDEAS

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    1. Wenshuai Wu, 2024. "Probabilistic Linguistic TODIM Method with Probabilistic Linguistic Entropy Weight and Hamming Distance for Teaching Reform Plan Evaluation," Mathematics, MDPI, vol. 12(22), pages 1-18, November.
    2. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    3. Dandan Luo & Shouzhen Zeng & Ji Chen, 2020. "A Probabilistic Linguistic Multiple Attribute Decision Making Based on a New Correlation Coefficient Method and its Application in Hospital Assessment," Mathematics, MDPI, vol. 8(3), pages 1-16, March.
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