IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v30y2021i6d10.1007_s10726-020-09681-3.html
   My bibliography  Save this article

Hierarchical Punishment-Driven Consensus Model for Probabilistic Linguistic Large-Group Decision Making with Application to Global Supplier Selection

Author

Listed:
  • Sumin Yu

    (Shenzhen University)

  • Zhijiao Du

    (Sun Yat-Sen University)

  • Xuanhua Xu

    (Central South University)

Abstract

Large-group decision making (LGDM) has attracted extensive attention and has been used to model complex decision problems. It is necessary to implement a consensus reaching process (CRP) due to the need to obtain a decision that is acceptable to the majority. The theory of probabilistic linguistic term sets (PLTSs) is very useful in addressing uncertain information in the decision-making process. In this paper, we develop a hierarchical punishment-driven consensus model for LGDM problems in the context of probabilistic linguistic information. The model has three stages. In the first stage, we define probabilistic linguistic large-group decision making. To improve the performance of PLTSs in the CRP, we redefine the rules governing their normalization and operations. In the second stage, the original large group is divided into several small subgroups by hierarchical clustering. In the third stage, we propose three levels of consensus measures and two adjustment strategies to refine the scope of measure and adjustment to the matrix element level. Then, a hierarchical punishment-driven consensus model is established that can provide guidance for adjustment and soften the human supervision of the CRP. Finally, a case study on global supplier selection illustrates the utility and applicability of the model, and a comparison with other linguistic models reveals its advantages.

Suggested Citation

  • Sumin Yu & Zhijiao Du & Xuanhua Xu, 2021. "Hierarchical Punishment-Driven Consensus Model for Probabilistic Linguistic Large-Group Decision Making with Application to Global Supplier Selection," Group Decision and Negotiation, Springer, vol. 30(6), pages 1343-1372, December.
    • Handle: RePEc:spr:grdene:v:30:y:2021:i:6:d:10.1007_s10726-020-09681-3
    DOI: 10.1007/s10726-020-09681-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-020-09681-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10726-020-09681-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    3. Stephen Johnson, 1967. "Hierarchical clustering schemes," Psychometrika, Springer;The Psychometric Society, vol. 32(3), pages 241-254, September.
    4. Peide Liu & Li He & Xiaocun Yu, 2016. "Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 25(1), pages 103-126, January.
    5. Kim, Bosung & Park, Kun Soo & Jung, Se-Youn & Park, Sang Hun, 2018. "Offshoring and outsourcing in a global supply chain: Impact of the arm’s length regulation on transfer pricing," European Journal of Operational Research, Elsevier, vol. 266(1), pages 88-98.
    6. Zeshui Xu, 2009. "An Interactive Approach to Multiple Attribute Group Decision Making with Multigranular Uncertain Linguistic Information," Group Decision and Negotiation, Springer, vol. 18(2), pages 119-145, March.
    7. Awasthi, Anjali & Govindan, Kannan & Gold, Stefan, 2018. "Multi-tier sustainable global supplier selection using a fuzzy AHP-VIKOR based approach," International Journal of Production Economics, Elsevier, vol. 195(C), pages 106-117.
    8. Wu, Xingli & Liao, Huchang, 2019. "A consensus-based probabilistic linguistic gained and lost dominance score method," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1017-1027.
    9. Yongming Song & Guangxu Li, 2019. "A large-scale group decision-making with incomplete multi-granular probabilistic linguistic term sets and its application in sustainable supplier selection," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(5), pages 827-841, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xiaohong Chen & Weiwei Zhang & Xuanhua Xu & Wenzhi Cao, 2022. "Managing Group Confidence and Consensus in Intuitionistic Fuzzy Large Group Decision-Making Based on Social Media Data Mining," Group Decision and Negotiation, Springer, vol. 31(5), pages 995-1023, October.
    2. Sumin Yu & Xiaoting Zhang & Zhijiao Du & Yanyan Chen, 2023. "A New Multi-Attribute Decision Making Method for Overvalued Star Ratings Adjustment and Its Application in New Energy Vehicle Selection," Mathematics, MDPI, vol. 11(9), pages 1-32, April.
    3. Zhou, Jian-Lan & Yu, Ze-Tai & Xiao, Ren-Bin, 2022. "A large-scale group Success Likelihood Index Method to estimate human error probabilities in the railway driving process," Reliability Engineering and System Safety, Elsevier, vol. 228(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tang, Ming & Liao, Huchang, 2021. "From conventional group decision making to large-scale group decision making: What are the challenges and how to meet them in big data era? A state-of-the-art survey," Omega, Elsevier, vol. 100(C).
    2. Pang, Jifang & Liang, Jiye, 2012. "Evaluation of the results of multi-attribute group decision-making with linguistic information," Omega, Elsevier, vol. 40(3), pages 294-301.
    3. Gong, Zaiwu & Guo, Weiwei & Słowiński, Roman, 2021. "Transaction and interaction behavior-based consensus model and its application to optimal carbon emission reduction," Omega, Elsevier, vol. 104(C).
    4. Zhi-Jiao Du & Zhi-Xiang Chen & Su-Min Yu, 2021. "Improved Failure Mode and Effect Analysis: Implementing Risk Assessment and Conflict Risk Mitigation with Probabilistic Linguistic Information," Mathematics, MDPI, vol. 9(11), pages 1-20, May.
    5. Wu, Xingli & Liao, Huchang, 2019. "A consensus-based probabilistic linguistic gained and lost dominance score method," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1017-1027.
    6. Yucheng Dong & Cong-Cong Li & Yinfeng Xu & Xin Gu, 2015. "Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 217-242, March.
    7. Min Xue & Chao Fu & Shanlin Yang, 2022. "A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 71-97, March.
    8. Fanyong Meng & Aiqing Zeng & Jie Tang & Witold Pedrycz, 2023. "Ranking Objects from Individual Linguistic Dual Hesitant Fuzzy Information in View of Optimal Model-Based Consistency and Consensus Iteration Algorithm," Group Decision and Negotiation, Springer, vol. 32(1), pages 5-44, February.
    9. Yisheng Liu & Ye Li, 2020. "The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 8(1), pages 1-23, January.
    10. Tang, Ming & Liao, Huchang & Xu, Jiuping & Streimikiene, Dalia & Zheng, Xiaosong, 2020. "Adaptive consensus reaching process with hybrid strategies for large-scale group decision making," European Journal of Operational Research, Elsevier, vol. 282(3), pages 957-971.
    11. Tang, Ming & Liao, Huchang, 2021. "Multi-attribute large-scale group decision making with data mining and subgroup leaders: An application to the development of the circular economy," Technological Forecasting and Social Change, Elsevier, vol. 167(C).
    12. Pei Wang & Xuanhua Xu & Shuai Huang, 2019. "An Improved Consensus-Based Model for Large Group Decision Making Problems Considering Experts with Linguistic Weighted Information," Group Decision and Negotiation, Springer, vol. 28(3), pages 619-640, June.
    13. Huchang Liao & Xiaomei Mi & Zeshui Xu, 2020. "A survey of decision-making methods with probabilistic linguistic information: bibliometrics, preliminaries, methodologies, applications and future directions," Fuzzy Optimization and Decision Making, Springer, vol. 19(1), pages 81-134, March.
    14. Yuling Zhai & Zeshui Xu & Peijia Ren, 2019. "Differentiating the Personalized Information of the Physician-Patient Communication for the Chronic Obstructive Pulmonary Disease with General Probabilistic Vector Linguistic Terms," Complexity, Hindawi, vol. 2019, pages 1-21, November.
    15. Claudia Quinteros-Cartaya & Guillermo Solorio-Magaña & Francisco Javier Núñez-Cornú & Felipe de Jesús Escalona-Alcázar & Diana Núñez, 2023. "Microearthquakes in the Guadalajara Metropolitan Zone, Mexico: evidence from buried active faults in Tesistán Valley, Zapopan," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 116(3), pages 2797-2818, April.
    16. Katarzyna Hampel & Paulina Ucieklak-Jez & Agnieszka Bem, 2021. "Health System Responsiveness in the Light of the Euro Health Consumer Index," European Research Studies Journal, European Research Studies Journal, vol. 0(4B), pages 659-667.
    17. Pishchulov, Grigory & Trautrims, Alexander & Chesney, Thomas & Gold, Stefan & Schwab, Leila, 2019. "The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection," International Journal of Production Economics, Elsevier, vol. 211(C), pages 166-179.
    18. Kim, Junyung & Shah, Asad Ullah Amin & Kang, Hyun Gook, 2020. "Dynamic risk assessment with bayesian network and clustering analysis," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    19. Silvia Cosimato & Roberto Vona, 2021. "Digital Innovation for the Sustainability of Reshoring Strategies: A Literature Review," Sustainability, MDPI, vol. 13(14), pages 1-16, July.
    20. Mei, Maggie Qiuzhu & Wang, Le & Yan, Jie, 2023. "Maintaining product quality consistency when offshoring to emerging markets: The role of subsidiary control," Journal of International Management, Elsevier, vol. 29(1).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:grdene:v:30:y:2021:i:6:d:10.1007_s10726-020-09681-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.