The minimum cost consensus model considering the implicit trust of opinions similarities in social network group decision‐making. Issue 3 (29th December 2019)

• Record Type: Journal Article
• Authors: Wu, Tong; Liu, Xinwang; Gong, Zaiwu; Zhang, Huanhuan; Herrera, Francisco
• Is Part Of: International journal of intelligent systems. Volume 35:Issue 3(2020)
• Page Start: 470
• Page End: 493
• Publication Date: 2019-12-29
• Subjects: consensus opinions -- social network group decision‐making -- the minimum cost consensus model -- trust relationships; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.22214
• Languages: English
• ISSNs: 0884-8173

Abstract

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.