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The minimum cost consensus model considering the implicit trust of opinions similarities in social network group decision-making |
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| Authors: | Tong Wu Xinwang Liu Zaiwu Gong Huanhuan Zhang Francisco Herrera |
| Affiliation: | 1. School of Economics and Management, Southeast University, Nanjing, China
Andalusian Research Institute on Data Science and Computational Intelligence, University of Granada, Granada, Spain;2. School of Economics and Management, Southeast University, Nanjing, China;3. Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science and Technology, Nanjing, China;4. School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, China;5. Andalusian Research Institute on Data Science and Computational Intelligence, University of Granada, Granada, Spain Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia |
| Abstract: | The social network group decision-making is popular due to the advantages of social relationships in the consensus reaching process, especially the trust relationships. To explore the effects of trust on consensus, some minimum cost consensus models are proposed based on implicit trust between individuals and the moderator. The implicit trust is computed based on the similarity of opinions and it is implied into the traditional minimum cost consensus model to obtain a new quadratic programming problem and the related dual problem. The weights of individuals can be determined based on implicit trust and can be used to modify the possible deviations among individuals’ adjustment costs. A numerical example and the comparative analysis are given to analyze the effectiveness of the proposed models, which suggests that individuals are willing to give up some benefit to reach consensus due to their implicit trust to the moderator and make minor revisions to their adjustment costs due to their implicit trust to each other. |
| Keywords: | consensus opinions social network group decision-making the minimum cost consensus model trust relationships |