Skip to main content
SpringerLink
Log in

Managing consensus reaching process with self-confident double hierarchy linguistic preference relations in group decision making

  • Published:
Fuzzy Optimization and Decision Making Aims and scope Submit manuscript

Abstract

Group decision making (GDM) can be defined as an environment where there exist a set of possible alternatives and a set of individuals (experts, judgements, etc.). Preference relation is one of the most widely used preference representation structures in GDM. Considering that the self-confidence degree is an important part to express preference information, and double hierarchy linguistic preference relation (DHLPR) is a cognitive complex linguistic information representation tool to express complex linguistic information, this paper presents a novel preference relation named as self-confident DHLPR. In addition, a weight-determining method is developed, which considers three kinds of information including the subjective weights and two kinds of objective weights. Furthermore, a consensus model is set up to manage the GDM problems with self-confident DHLPRs based on the priority ordering theory. The effectiveness of the proposed consensus model is illustrated by a case study concerning the selection of optimal hospitals in the field of Telemedicine. Finally, a simulation experiment is devised to testify the proposed consensus model and then some comparisons with other consensus reaching models are provided from three different angles including the number of iterations, the consensus success ratio and the distance between the original and adjusted preferences.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • Chen, X., Zhang, H. J., & Dong, Y. C. (2015). The fusion process with heterogeneous preference structures in group decision making: A survey. Information Fusion, 24, 72–83.

    Article  Google Scholar 

  • Chiclana, F., Herrera-Viedma, E., Alonso, S., & Herrera, F. (2009). Cardinal consistency of reciprocal preference relations: A characterization of multiplicative transitivity. IEEE Transactions on Fuzzy Systems, 17(1), 14–23.

    Article  Google Scholar 

  • Crawford, G., & Williams, C. (1985). A note on the analysis of subjective judgment matrices. Journal of Mathematical Psychology, 29(4), 387–405.

    Article  Google Scholar 

  • Dong, Y. C., Ding, Z. G., Martínez, L., & Herrera, F. (2017). Managing consensus based on leadership in opinion dynamics. Information Sciences, 397–398, 187–205.

    Article  Google Scholar 

  • Friedman, H. H., & Amoo, T. (1999). Rating the rating scales. Journal of Marketing Management, 9(3), 114–123.

    Google Scholar 

  • Gou, X. J., Liao, H. C., Wang, X. X., Xu, Z. S., & Herrera, F. (2020a). Consensus based on multiplicative consistent double hierarchy linguistic preferences: Venture capital in real estate market. International Journal of Strategic Property Management, 42(1), 1–23.

    Article  Google Scholar 

  • Gou, X. J., Liao, H. C., Xu, Z. S., & Herrera, F. (2017). Double hierarchy hesitant fuzzy linguistic MULTIMOORA method for evaluating the implementation status of haze controlling measures. Information Fusion, 38, 22–34.

    Article  Google Scholar 

  • Gou, X. J., Liao, H. C., Xu, Z. S., Min, R., & Herrera, F. (2019a). Group decision making with double hierarchy hesitant fuzzy linguistic preference relations: Consistency based measures, index and repairing algorithms and decision model. Information Sciences, 489, 93–112.

    Article  MathSciNet  Google Scholar 

  • Gou, X. J., Xu, Z. S., & Herrera, F. (2018). Consensus reaching process for large-scale group decision making with double hierarchy hesitant fuzzy linguistic preference relations. Knowledge-Based Systems, 157, 20–33.

    Article  Google Scholar 

  • Gou, X. J., Xu, Z. S., & Herrera, F. (2020b). A consensus model to manage minority opinions and non-cooperative behaviors in large-scale GDM with double hierarchy linguistic preference relations. IEEE Transactions on Cybernetics. https://doi.org/10.1109/TCYB.2020.2985069.

    Article  Google Scholar 

  • Gou, X. J., Xu, Z. S., & Liao, H. C. (2019b). Group decision making with compatibility measures of hesitant fuzzy linguistic preference relations. Soft Computing, 23(5), 1511–1527.

    Article  Google Scholar 

  • Gou, X. J., Xu, Z. S., & Zhou, W. (2020c). Managing consensus by multiple stages optimization models with linguistic preference orderings and double hierarchy linguistic preferences. Technological and Economic Development of Economy, 26(3), 642–674.

    Article  Google Scholar 

  • Herrera, F., Herrera-Viedma, E., & Verdegay, J. L. (1996). A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems, 78(1), 73–87.

    Article  MathSciNet  Google Scholar 

  • Herrera-Viedma, E., Herrera, F., Chiclana, F., & Luque, M. (2004). Some issues on consistency of fuzzy preference relations. European Journal of Operational Research, 154(1), 98–109.

    Article  MathSciNet  Google Scholar 

  • Liao, H. C., Mi, X. M., & Xu, Z. S. (2020). A survey of decision-making methods with probabilistic linguistic information: bibliometrics, preliminaries, methodologies, applications and future directions. Fuzzy Optimization and Decision Making, 19, 81–134.

    Article  MathSciNet  Google Scholar 

  • Liu, J. P., Song, J. M., Xu, Q., Tao, Z. F., & Chen, H. Y. (2019). Group decision making based on DEA cross-efficiency with intuitionistic fuzzy preference relations. Fuzzy Optimization and Decision Making, 18, 345–370.

    Article  MathSciNet  Google Scholar 

  • Liu, W. Q., Dong, Y. C., Chiclana, F., Cabrerizo, F. J., & Herrera-Viedma, E. (2017). Group decision making based on heterogeneous preference relations with self-confidence. Fuzzy Optimization and Decision Making, 16(4), 429–447.

    Article  MathSciNet  Google Scholar 

  • Park, J. H., Cho, H. J., & Kwun, Y. C. (2011). Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optimization and Decision Making, 10, 233–253.

    Article  MathSciNet  Google Scholar 

  • Ramanathan, R., & Ganesh, L. S. (1994). Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members’ weightages. European Journal of Operational Research, 79(2), 249–265.

    Article  Google Scholar 

  • Saaty, T. L. (1980). The analytic hierarchy process. New York: McGraw-Hill.

    MATH  Google Scholar 

  • Wu, J., Chiclana, F., Fujita, H., & Herrera-Viedma, E. (2017). A visual interaction consensus model for social network group decision making with trust propagation. Knowledge-Based Systems, 122, 39–50.

    Article  Google Scholar 

  • Xu, Z. S. (2005). Deviation measures of linguistic preference relations in group decision making. Omega, 33(3), 249–254.

    Article  Google Scholar 

  • Zadeh, L. A. (1975). The concept of a linguistic variable and its applications to approximate reasoning—Part I. Information Sciences, 8, 199–249.

    Article  Google Scholar 

  • Zhang, Y. X., Xu, Z. S., Wang, H., & Liao, H. C. (2016). Consistency-based risk assessment with probabilistic linguistic preference relation. Applied Soft Computing, 49, 817–833.

    Article  Google Scholar 

  • Zhu, B., & Xu, Z. S. (2014). Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Transactions on Fuzzy Systems, 22(1), 35–45.

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the National Natural Science Foundation of China (No. 71771155), the Project of the Key Research Institute of Humanities and Social Sciences in Sichuan colleges and Universities-Sichuan Special Education Research Center of Leshan Normal University (SCTJ-2020-B03), and the Fundamental Research Funds for the Central Universities of China (YJ202015, 2020ZY-SX-C01).

Author information

Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, 610065, China

    Xunjie Gou, Zeshui Xu, Xinxin Wang & Huchang Liao

  2. School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, China

    Zeshui Xu

Authors
  1. Xunjie Gou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zeshui Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xinxin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Huchang Liao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zeshui Xu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gou, X., Xu, Z., Wang, X. et al. Managing consensus reaching process with self-confident double hierarchy linguistic preference relations in group decision making. Fuzzy Optim Decis Making 20, 51–79 (2021). https://doi.org/10.1007/s10700-020-09331-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10700-020-09331-y

Keywords

Search

Navigation