Uncertain Opinion Evolution with Bounded Confidence Effects in Social Networks

  • Min Zhan
  • Haiming Liang
  • Zhaogang Ding
  • Yucheng DongEmail author


When people express their opinions for an issue, they can express both exact opinions and uncertain opinions, such as numerical interval opinions. Moreover, social network is a crucial medium of opinion interaction and evolution. In this paper, uncertain opinion evolution with bounded confidence effects in social networks is investigated by theoretical demonstration and numerical examples analyses, and experiments simulations analyses. Theoretical results show when all the agents are with uncertainty tolerances, then the ratios of agents expressing uncertain opinions are impossible to decrease, even increase, as time increases; while when all the agents are without uncertainty tolerances, then the ratios of agents expressing uncertain opinions are impossible to increase, even decrease, as time increases. Moreover, the average widths of uncertain opinions are always smaller than the maximum opinion width of all the initial opinions among agents. Experiments simulations results show different ratios of agents with uncertainty tolerances and different ratios of agents expressing uncertain opinions have strong impact on the ratios of the agents expressing the uncertain opinions in the stable state, and the average widths of uncertain opinions in the stable state.


Opinion evolution uncertainty bounded confidence social network 


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This paper has been supported NSF of China under Grants Nos. 71571124, 71871149 and 71601133, and by Sichuan University under Grants Nos. LH2018002, sksyl201705, YJ201906 and 2018hhs-58.


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Copyright information

© Systems Engineering Society of China and Springer-Verlag GmbH Germany 2019

Authors and Affiliations

  • Min Zhan
    • 1
  • Haiming Liang
    • 1
  • Zhaogang Ding
    • 2
  • Yucheng Dong
    • 1
    Email author
  1. 1.Business SchoolSichuan UniversityChengduChina
  2. 2.School of Public ManagementNorthwest UniversityXi’anChina

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