Abstract
The consensus-reaching process (CRP) is an effective tool for reducing differences of opinion. In general, the costs and resources associated with the CRP are limited. Therefore, the concept of minimum-cost consensus (MCC) has been proposed and used widely in various group decision-making contexts. As an important resource for influencing decision-making, trust provides a common-sense perception that the opinion of a high-trust DM is considered to be widely recognized by others. We hold that the DM with high trust but low consensus has the right to reduce the consensus cost by voluntarily losing some trust. Consequently, an improved MCC model considering trust loss is developed. Finally, we present a numerical example to illustrate the feasibility of the proposed consensus model. A comparative analysis is conducted to explore the influence of trust loss on the CRP.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Du, Z. J., Yu, S. M., & Xu, X. H. (2020). Managing noncooperative behaviors in large-scale group decision-making: Integration of independent and supervised consensus-reaching models. Information Sciences, 531, 119–138.
Palomares, I., Martínez, L., & Herrera, F. (2014). A consensus model to detect and manage noncooperative behaviors in large-scale group decision making. IEEE Transactions on Fuzzy Systems, 22(3), 516–530.
Wu, Z., & Xu, J. (2016). Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega, 65, 28–40.
Xu, X. H., Du, Z. J., Chen, X. H., & Cai, C. G. (2019). Confidence consensus-based model for large-scale group decision making: A novel approach to managing non-cooperative behaviors. Information Sciences, 477, 410–427.
Xu, X. H., Du, Z. J., & Chen, X. H. (2015). Consensus model for multi-criteria large-group emergency decision making considering non-cooperative behaviors and minority opinions. Decision Support Systems, 79, 150–160.
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.
Wu, J., Chiclana, F., & Herrera-Viedma, E. (2015). Trust based consensus model for social network in an incomplete linguistic information context. Applied Soft Computing, 35, 827–839.
Dong, Y., Ding, Z., Martínez, L., & Herrera, F. (2017). Managing consensus based on leadership in opinion dynamics. Information Sciences, 397, 187–205.
Zhang, G., Dong, Y., Xu, Y., & Li, H. (2011). Minimum-cost consensus models under aggregation operators. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 41(6), 1253–1261.
Labella, Á., Liu, H., Rodríguez, R. M., & Martínez, L. (2020). A cost consensus metric for consensus reaching processes based on a comprehensive minimum cost model. European Journal of Operational Research, 281(2), 316–331.
Tang, M., Liao, H., Xu, J., Streimikiene, D., & Zheng, X. (2020). Adaptive consensus reaching process with hybrid strategies for large-scale group decision making. European Journal of Operational Research, 282(3), 957–971.
Yu, S. M., Du, Z. J., Lin, X. D., Luo, H. Y., & Wang, J. Q. (2020). A stochastic dominance-based approach for hotel selection under probabilistic linguistic environment. Mathematics, 8(9), 1525.
Chao, X., Dong, Y., Kou, G., & Peng, Y. (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, 316(1), 143–177.
Xu, W., Chen, X., Dong, Y., & Chiclana, F. (2021). Impact of decision rules and non-cooperative behaviors on minimum consensus cost in group decision making. Group Decision and Negotiation, 30(6), 1239–1260.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Du, Z., Yu, S. (2023). Minimum-Cost Consensus Model Considering Trust Loss. In: Social Network Large-Scale Decision-Making. Uncertainty and Operations Research. Springer, Singapore. https://doi.org/10.1007/978-981-99-7794-9_6
Download citation
DOI: https://doi.org/10.1007/978-981-99-7794-9_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-7793-2
Online ISBN: 978-981-99-7794-9
eBook Packages: Business and ManagementBusiness and Management (R0)