基于DeGroot模型的社会网络群体共识决策方法
A Social Network Group Consensus Decision-Making Method Based on DeGroot Model
李胜利 1舒婷 2桑钰政2
作者信息
- 1. 太原师范学院数学与统计学院,山西晋中 030619;智能优化计算与区块链技术山西省重点实验室,山西晋中 030619
- 2. 太原师范学院数学与统计学院,山西晋中 030619
- 折叠
摘要
针对社会网络环境下的共识决策问题,提出一种基于DeGroot模型的群体共识决策方法.首先,根据DeGroot模型及群体意见领袖的性质,得到群体关于备选方案的偏好信息,其次,考虑决策群体之间的意见相似度,度量群体综合偏好的共识水平,接着,构建最小调整优化模型,进而计算备选方案的排序.最后,通过一个算例验证方法的可行性与有效性.
Abstract
Aiming at the consensus decision-making problem in social network environment,this paper proposes a group consensus decision-making method based on DeGroot model.First,accord-ing to the DeGroot model and the nature of group opinion leaders,the group's preference information about alternatives is obtained.Second,the opinion similarity between the decision-making groups is considered to measure the consensus level of the group's combined preferences,and then,a minimally adjusted optimization model is constructed,which in turn calculates the ranking of the alternatives.Fi-nally,the feasibility and effectiveness of the method are verified by an arithmetic example.
关键词
社会信任网络/意见领袖/DeGroot模型/共识度量/最小调整Key words
social trust network/opinion leader/DeGroot model/consensus measure/minimal adjustment引用本文复制引用
基金项目
国家自然科学基金(71981190)
山西省科技创新人才专项资助(202204051002018)
山西省哲学社会科学规划课题(2022YJ111)
出版年
2024