Reaching Consensus Based on the Opinion Dynamics in Social Networks
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RESEARCH ARTICLE-SYSTEMS ENGINEERING
Reaching Consensus Based on the Opinion Dynamics in Social Networks Ying Ji1
· Ping Li1 · Zhong Wu1 · Deqiang Qu1
Received: 12 December 2019 / Accepted: 18 August 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract This paper studies the minimum consensus cost strategy in the whole group decision-making (GDM) process under the condition of experts’ opinion and weight evolving over time. Based on the traditional minimum cost consensus model (MCCM), the updated algorithm of opinion dynamics is introduced to obtain the expert’s opinion value and weight, which is used for the optimal strategy of group consensus decision making. In the existing MCCM, the consensus mechanism is established through a simple optimization model, in which each expert’s opinion value and weight coefficient are in a static state and do not change dynamically with time. However, in actual GDM, the expert’s opinion and their own importance (weight coefficient) are random and easily affected by the decision-making environment. Therefore, this paper proposes three novel kinds of MCCMs based on opinion dynamics in social networks. Numerical results show that this method can reach a higher degree of consensus in a reasonable time compared with traditional consensus model. In addition, some comparative experimental data also show that compared with some static consensus, the optimal decision strategy proposed can greatly reduce the cost. In particular, the MCCM model with confidence parameter reduces the consensus cost to the lowest and obtains the highest degree of consensus. Keywords Group decision making · Consensus · Minimum cost · Social network · Opinion dynamics · Weight coefficient
1 Introduction In practice, people often encounter a variety of complex decision-making problems. Due to the different social experience, cultural standards and social status of decision makers (DMs), they often have different understandings and views on the same issue. GDM means that different members put forward their own decision solutions according to individual preferences and certain rules, and finally form a consistent or compromised decision under a certain coordination mechanism. The decision-making process is a process of constant negotiation and compromise, which is the preference ranking of different strategies. Because of the complexity of modern management tasks and the specialization of decision-making
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Ping Li [email protected] Deqiang Qu [email protected]
1
Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
process, GDM has become the mainstream decision-making method in today’s society. Since its high accuracy and low risk, it is widely used in various fields such as political, economic, military, industrial processes and engineering systems [1–4]. Group consensus has a wide range of guiding significance and application background. With complex and varied decision-making environments and tasks, GDM problems become more and more complicat
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