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The minimum cost consensus model considering the implicit trust of opinions similarities in social network group decision‐making
Author(s) -
Wu Tong,
Liu Xinwang,
Gong Zaiwu,
Zhang Huanhuan,
Herrera Francisco
Publication year - 2020
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22214
Subject(s) - moderation , computer science , similarity (geometry) , dual (grammatical number) , process (computing) , trust region , social network (sociolinguistics) , group decision making , social psychology , psychology , artificial intelligence , machine learning , art , literature , computer security , world wide web , radius , image (mathematics) , social media , operating system
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.