IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v16y2017i03ns021962201550039x.html
   My bibliography  Save this article

A Large Group Decision-Making Method Based on Fuzzy Preference Relation

Author

Listed:
  • Shenghai Zhou

    (Antai College of Economics & Management, Shanghai Jiao Tong University, Shanghai 200030, P. R. China)

  • Xuanhua Xu

    (School of Business, Central South University, Changsha, Hunan 410083, P. R. China)

  • Yanju Zhou

    (School of Business, Central South University, Changsha, Hunan 410083, P. R. China)

  • Xiaohong Chen

    (School of Business, Central South University, Changsha, Hunan 410083, P. R. China)

Abstract

Aiming at the large group decision-making problem in which every decision maker compares pairwise alternatives with fuzzy preference relations, this paper proposes a fuzzy preference relation decision-making method of large group based on conflicts. Firstly, priority should be given to the preference difference under complex large group environment, so we define the conflict degree of two fuzzy preference relations, which contributes to cluster analysis on preferences of the decision maker and thus forms several different clusters. Based on this, we simulate and analyze the threshold of conflict degree. Then we develop the entropy weight method to get the relevant weight of each cluster, and use the weight to aggregate the cluster preferences in order to attain the large group preference based on fuzzy preference relation. Next, an iteration algorithm is introduced to find a solution which could acquire the group alternatives fuzzy preference relation of a certain conflict level and obtain the ranking result of alternatives. Finally, a case analysis is given to illustrate the effectiveness of the method proposed.

Suggested Citation

  • Shenghai Zhou & Xuanhua Xu & Yanju Zhou & Xiaohong Chen, 2017. "A Large Group Decision-Making Method Based on Fuzzy Preference Relation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 881-897, May.
    • Handle: RePEc:wsi:ijitdm:v:16:y:2017:i:03:n:s021962201550039x
    DOI: 10.1142/S021962201550039X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S021962201550039X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S021962201550039X?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. Zeshui Xu & Xiaoqiang Cai, 2015. "Group Decision Making with Incomplete Interval-Valued Intuitionistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 193-215, March.
    2. Fu, Chao & Yang, Shan-Lin, 2010. "The group consensus based evidential reasoning approach for multiple attributive group decision analysis," European Journal of Operational Research, Elsevier, vol. 206(3), pages 601-608, November.
    3. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
    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. 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.
    2. Qifeng Wan & Xuanhua Xu & Xiaohong Chen & Jun Zhuang, 2020. "A Two-Stage Optimization Model for Large-Scale Group Decision-Making in Disaster Management: Minimizing Group Conflict and Maximizing Individual Satisfaction," Group Decision and Negotiation, Springer, vol. 29(5), pages 901-921, October.
    3. Paulo Cesar Schotten & Danielle Costa Morais, 2019. "A group decision model for credit granting in the financial market," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 5(1), pages 1-19, December.
    4. Bingsheng Liu & Meiqing Fu & Shuibo Zhang & Bin Xue & Qi Zhou & Shiruo Zhang, 2018. "An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 407-424, January.

    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. Huang, Yeu-Shiang & Chang, Wei-Chen & Li, Wei-Hao & Lin, Zu-Liang, 2013. "Aggregation of utility-based individual preferences for group decision-making," European Journal of Operational Research, Elsevier, vol. 229(2), pages 462-469.
    2. Ni Li & Minghui Sun & Zhuming Bi & Zeya Su & Chao Wang, 2014. "A new methodology to support group decision-making for IoT-based emergency response systems," Information Systems Frontiers, Springer, vol. 16(5), pages 953-977, November.
    3. Qi Wei & Rui Wang & Chuan-Yang Ruan, 2024. "Similarity Measures of Probabilistic Interval Preference Ordering Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 12(20), pages 1-26, October.
    4. Zhou-Jing Wang & Yuhong Wang & Kevin W. Li, 2016. "An Acceptable Consistency-Based Framework for Group Decision Making with Intuitionistic Preference Relations," Group Decision and Negotiation, Springer, vol. 25(1), pages 181-202, January.
    5. Fu, Chao & Yang, Shanlin, 2012. "An evidential reasoning based consensus model for multiple attribute group decision analysis problems with interval-valued group consensus requirements," European Journal of Operational Research, Elsevier, vol. 223(1), pages 167-176.
    6. Jacinto González-Pachón & Carlos Romero, 2007. "Inferring consensus weights from pairwise comparison matrices without suitable properties," Annals of Operations Research, Springer, vol. 154(1), pages 123-132, October.
    7. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    8. Liu Fang & Peng Yanan & Zhang Weiguo & Pedrycz Witold, 2017. "On Consistency in AHP and Fuzzy AHP," Journal of Systems Science and Information, De Gruyter, vol. 5(2), pages 128-147, April.
    9. Qiang Yang & Ping-an Du & Yong Wang & Bin Liang, 2017. "A rough set approach for determining weights of decision makers in group decision making," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-16, February.
    10. Min Xue & Chao Fu & Shan-Lin Yang, 2021. "Dynamic Expert Reliability Based Feedback Mechanism in Consensus Reaching Process with Distributed Preference Relations," Group Decision and Negotiation, Springer, vol. 30(2), pages 341-375, April.
    11. Tien-Chin Wang & Hsiu-Chin Hsieh & Xuan-Huynh Nguyen & Chin-Ying Huang & Jen-Yao Lee, 2022. "Evaluating the Influence of Criteria Revitalization Strategy Implementation for the Hospitality Industry in the Post-Pandemic Era," World, MDPI, vol. 3(2), pages 1-18, April.
    12. Xiangrui Chao & Yucheng Dong & Gang Kou & Yi Peng, 2022. "How to determine the consensus threshold in group decision making: a method based on efficiency benchmark using benefit and cost insight," Annals of Operations Research, Springer, vol. 316(1), pages 143-177, September.
    13. Ligang Zhou & Huayou Chen & Jinpei Liu, 2013. "Continuous Ordered Weighted Distance Measure and Its Application to Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(4), pages 739-758, July.
    14. Lihua Liu & Jing Huang & Huimin Wang, 2020. "Visibility Graph Power Geometric Aggregation Operator and Its Application in Water, Energy and Food Efficiency Evaluation," IJERPH, MDPI, vol. 17(11), pages 1-16, May.
    15. 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.
    16. 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.
    17. Diaz-Balteiro, L & González-Pachón, J. & Romero, C., 2017. "Measuring systems sustainability with multi-criteria methods: A critical review," European Journal of Operational Research, Elsevier, vol. 258(2), pages 607-616.
    18. Kun Zhou & Zaiwu Gong & Xiaoqing Chen & Roman Słowiński, 2024. "Determination of a Representative Collective Value Function Through a Value Function-Based Consensus-Reaching Process," Group Decision and Negotiation, Springer, vol. 33(5), pages 1089-1113, October.
    19. Fan, Zhi-Ping & Ma, Jian & Jiang, Yan-Ping & Sun, Yong-Hong & Ma, Louis, 2006. "A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 174(1), pages 311-321, October.
    20. Carlos Sáenz-Royo & Francisco Chiclana & Enrique Herrera-Viedma, 2022. "Functional Representation of the Intentional Bounded Rationality of Decision-Makers: A Laboratory to Study the Decisions a Priori," Mathematics, MDPI, vol. 10(5), pages 1-17, February.

    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:wsi:ijitdm:v:16:y:2017:i:03:n:s021962201550039x. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    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.