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A Multi-criteria Group Decision Making Based on Possibility Degree Matrix and $$\mathbb {ZPDHL}$$ ZPDHL -VIKOR Method

Author

Listed:
  • Sidong Xian

    (Chongqing University of Posts and Telecommunications
    Chongqing University of Posts and Telecommunications)

  • Ke Qing

    (Chongqing University of Posts and Telecommunications)

  • Ling Tang

    (Chongqing University of Posts and Telecommunications)

  • Huilan Pan

    (Chongqing University of Posts and Telecommunications)

Abstract

In this paper, we firstly put forward a new linguistic set called Z-probabilistic double hierarchy linguistic term set (Z-PDHLTS) based on Z-number, which considers both the complexity of linguistic variables and the credibility of evaluation information. Then, a new comparison method of Z-PDHLTS based on possibility degree is put forward to compare the size of two sets. In addition, a possibility degree matrix method and $$\mathbb {ZPDHL}$$ ZPDHL -VIKOR method for multi-criteria group decision making problem with Z-PDHLTS are proposed to rank alternatives. Finally, an example of green mine selection is used and some comparative analyses are made to explain its effectiveness.

Suggested Citation

  • Sidong Xian & Ke Qing & Ling Tang & Huilan Pan, 2023. "A Multi-criteria Group Decision Making Based on Possibility Degree Matrix and $$\mathbb {ZPDHL}$$ ZPDHL -VIKOR Method," Group Decision and Negotiation, Springer, vol. 32(3), pages 633-666, June.
    • Handle: RePEc:spr:grdene:v:32:y:2023:i:3:d:10.1007_s10726-023-09820-6
    DOI: 10.1007/s10726-023-09820-6
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    References listed on IDEAS

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    1. Qian-Yun Tan & Cui-Ping Wei & Qi Liu & Xiang-Qian Feng, 2016. "The Hesitant Fuzzy Linguistic TOPSIS Method Based on Novel Information Measures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-22, October.
    2. Weizhang Liang & Bing Dai & Guoyan Zhao & Hao Wu, 2019. "Assessing the Performance of Green Mines via a Hesitant Fuzzy ORESTE–QUALIFLEX Method," Mathematics, MDPI, vol. 7(9), pages 1-19, August.
    3. Xunjie Gou & Zeshui Xu & Wei Zhou, 2021. "Interval Consistency Repairing Method for Double Hierarchy Hesitant Fuzzy Linguistic Preference Relation and Application in the Diagnosis of Lung Cancer," Economic Research-Ekonomska Istraživanja, Taylor & Francis Journals, vol. 34(1), pages 1-20, January.
    4. Jiahui Chai & Sidong Xian & Sichong Lu, 2021. "Z probabilistic linguistic term sets and its application in multi-attribute group decision making," Fuzzy Optimization and Decision Making, Springer, vol. 20(4), pages 529-566, December.
    5. Xunjie Gou & Zeshui Xu & Huchang Liao & Francisco Herrera, 2021. "Probabilistic double hierarchy linguistic term set and its use in designing an improved VIKOR method: The application in smart healthcare," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(12), pages 2611-2630, December.
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