Abstract
Large-scale group decision-making (LSGDM) based on social networks has become an important part of practical decision-making. The trust relationship in social networks has an influence on not only the clustering process but also the consensus reaching process (CRP). Decision-makers (DMs) can take different behaviors by using the trust relationship to influence consensus reaching, so identifying the adjustment behaviors of DMs in CRP is essential. This study considers the influence of the trust relationship on the CRP and proposes a behavior analysis-based consensus model that comprehensively considers the leadership behaviors and non-cooperative behaviors. First, based on the clustering result, the preference similarity of two DMs with the direct trust relationship is calculated to judge whether leadership behavior exists. By judging the leadership behaviors, the number of effective DMs involved in LSGDM will be reduced. Second, based on the identification of leadership behaviors, the non-cooperative or cooperative behaviors are defined by judging whether the adjustment behaviors of effective DMs are conducive to achieving group consensus. Third, the weights of effective DMs and subgroups are punished or rewarded by quantifying the degree of non-cooperative or cooperative behaviors. Finally, the simulation experiments and comparative analysis are presented to illustrate the efficiency of the proposed method.
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References
A.Bondy USRMJ (1976) Graph theory with applications. Macmillan Press LTD, New York
Ding RX, Wang X, Shang K et al (2019) Sparse representation-based intuitionistic fuzzy clustering approach to find the group intra-relations and group leaders for large-scale decision making. IEEE Trans Fuzzy Syst 27:559–573
Ding RX, Palomares I, Wang X et al (2020) Large-scale decision-making: characterization, taxonomy, challenges and future directions from an artificial intelligence and applications perspective. Inf Fusion 59:84–102
Dong Y, Zhang H, Herrera-Viedma E (2016) Integrating experts’ weights generated dynamically into the consensus reaching process and its applications in managing non-cooperative behaviors. Decis Support Syst 84:1–15
Dong Y, Ding Z, Martínez L, Herrera F (2017) Managing consensus based on leadership in opinion dynamics. Inf Sci 397:187–205
Dong Y, Liu Y, Liang H et al (2018a) Strategic weight manipulation in multiple attribute decision making. Omega 75:154–164
Dong Y, Zha Q, Zhang H et al (2018b) Consensus reaching in social network group decision making: research paradigms and challenges. Knowl Based Syst 162(15):3–13
Dong Y, Zhao S, Zhang H et al (2018c) A self-management mechanism for noncooperative behaviors in large-scale group consensus reaching processes. IEEE Trans Fuzzy Syst 26:3276–3288
Dong Y, Zha Q, Zhang H, Herrera F (2020) Consensus reaching and strategic manipulation in group decision making with trust relationships. IEEE Trans Syst Man Cybern Syst 99:1–15
Hartmann S, Martini C, Sprenger J (2009) Consensual decision-making among epistemic peers. Episteme 6(2):110–129
Jiang C, Liu S, Lin Z et al (2016) Domain-aware trust network extraction for trust propagation in large-scale heterogeneous trust networks. Knowl Based Syst 111:237–247
Liu B, Shen Y, Chen X et al (2014) A partial binary tree DEA-DA cyclic classification model for decision makers in complex multi-attribute large-group interval-valued intuitionistic fuzzy decision-making problems. Inf Fusion 18:119–130
Liu B, Shen Y, Zhang W et al (2015) An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making. Eur J Oper Res 245:209–225
Liu B, Zhou Q, Ding RX et al (2019a) Large-scale group decision making model based on social network analysis: trust relationship-based conflict detection and elimination. Eur J Oper Res 275(2):737–754
Liu B, Zhou Q, Ding RX et al (2019b) Defective alternatives detection-based multi-attribute intuitionistic fuzzy large-scale decision making model. Knowl Based Syst 186:104962
Palomares I, Martinez L, Herrera F (2014a) A consensus model to detect and manage noncooperative behaviors in large-scale group decision making. IEEE Trans Fuzzy Syst 22:516–530
Palomares I, Martínez L, Herrera F (2014b) MENTOR: a graphical monitoring tool of preferences evolution in large-scale group decision making. Knowl Based Syst 58:66–74
Pelta DA, Yager RR (2010) Decision strategies in mediated multiagent negotiations: an optimization approach. IEEE Trans Syst Man Cybern Part A Syst Hum 40:635–640
Quesada FJ, Palomares I, Martínez L (2015) Managing experts behavior in large-scale consensus reaching processes with uninorm aggregation operators. Appl Soft Comput 35:873–887
Shi Z, Wang X, Palomares I et al (2018) A novel consensus model for multi-attribute large-scale group decision making based on comprehensive behavior classification and adaptive weight updating. Knowl Based Syst 158:196–208
Tversky A, Kahneman D (1992) Advances in prospect theory: cumulative representation of uncertainty. J Risk Uncertain 5:297–323
Ureña R, Chiclana F, Melançon G, Herrera-Viedma E (2019a) A social network based approach for consensus achievement in multiperson decision making. Inf Fusion 47:72–87
Ureña R, Kou G, Dong Y et al (2019b) A review on trust propagation and opinion dynamics in social networks and group decision making frameworks. Inf Sci 478:461–475
Warshall S (1962) A theorem on Boolean matrices. J ACM 9:11–12
Wu J, Chiclana F, Herrera-Viedma E (2015) Trust based consensus model for social network in an incomplete linguistic information context. Appl Soft Comput 35:827–839
Wu J, Xiong R, Chiclana F (2016) Uninorm trust propagation and aggregation methods for group decision making in social network with four tuple information. Knowl Based Syst 96:29
Wu J, Dai L, Chiclana F et al (2018) A minimum adjustment cost feedback mechanism based consensus model for group decision making under social network with distributed linguistic trust. Inf Fusion 41:232–242
Wu T, Zhang K, Liu X, Cao C (2019) A two-stage social trust network partition model for large-scale group decision-making problems. Knowl Based Syst 163:632–643
Xu X, Du Z, Chen X (2015) Consensus model for multi-criteria large-group emergency decision making considering non-cooperative behaviors and minority opinions. Decis Support Syst 79:150–160
Xu X, Du Z, Chen X, Cai C (2019) Confidence consensus-based model for large-scale group decision making: A novel approach to managing non-cooperative behaviors. Inf Sci 477:410–427
Yager RR (2001) Penalizing strategic preference manipulation in multi-agent decision making. IEEE Trans Fuzzy Syst 9:393–403
Yager RR (2002) Defending against strategic manipulation in uninorm-based multi-agent decision making. Eur J Oper Res 141:217–232
Zha Q, Dong Y, Zhang H et al (2019) A personalized feedback mechanism based on bounded confidence learning to support consensus reaching in group decision making. IEEE Trans Syst Man, Cybern Syst. https://doi.org/10.1109/tsmc.2019.2945922
Zhang H, Palomares I, Dong Y, Wang W (2018) Managing non-cooperative behaviors in consensus-based multiple attribute group decision making: An approach based on social network analysis. Knowledge-Based Syst 162:29–45
Zhang Z, Yu W, Martinez L, Gao Y (2019) Managing multigranular unbalanced hesitant fuzzy Linguistic information in multiattribute large-scale group decision making: a linguistic distribution-based approach. IEEE Trans Fuzzy Syst 1–1.
Zhang B, Dong Y, Zhang H, Pedrycz W (2020a) Consensus mechanism with maximum-return modifications and minimum-cost feedback: A perspective of game theory. Eur J Oper Res 287:546–559
Zhang H, Zhao S, Kou G et al (2020b) An overview on feedback mechanisms with minimum adjustment or cost in consensus reaching in group decision making: Research paradigms and challenges. Inf Fusion 60:65–79
Zhu J, Zhang S, Chen Y, Zhang L (2016) A hierarchical clustering approach based on three-dimensional gray relational analysis for clustering a large group of decision makers with double information. Gr Decis Negot 25:325–354
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Zhang, C., Zhao, M., Zhao, L. et al. A Consensus Model for Large-Scale Group Decision-Making Based on the Trust Relationship Considering Leadership Behaviors and Non-cooperative Behaviors. Group Decis Negot 30, 553–586 (2021). https://doi.org/10.1007/s10726-021-09723-4
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DOI: https://doi.org/10.1007/s10726-021-09723-4