考虑社会网络邻接关系的群体判断矩阵决策方法  

Group preference relations decision making approach based on social network adjacency relations

作　　者：楚俊峰 刘议聪 王应明 CHU Jun-feng;LIU Yi-cong;WANG Ying-ming(School of Economics and Management,Fuzhou University,Fuzhou 350116,China;Decision Sciences Institute,Fuzhou University,Fuzhou 350116,China)

机构地区：[1]福州大学经济与管理学院,福州350116 [2]福州大学决策科学研究所,福州350116

出　　处：《控制与决策》2021年第4期983-992,共10页Control and Decision

基　　金：教育部人文社科青年基金项目(19YJC630022);福州大学科研启动项目(GXRC201905);国家自然科学基金项目(61773123)。

摘　　要：随着社会化媒体的快速发展,社会化因素已经成为影响群体决策过程及其结果的重要因素.针对群体决策者的判断信息以残缺判断矩阵形式给出,且考虑群体决策者社会网络邻接关系的群体决策问题,提出可行的解决方法.首先,提出一种基于决策者相似性程度和社会网络距离的残缺判断矩阵补全方法;然后,提出考虑决策者社会网络影响力的群体共识交互决策模型,该交互模型不仅考虑群体决策者之间的社会邻接关系,而且可以在较大程度上保存决策者给定的原始判断信息;最后,通过一个物流企业选择存储仓库的算例验证所提出算法的可行性和优势.With the rapid development of social media, social factors have become an important factor to affect the group decision making process and its result. For the group decision-making problems where decision information is given by incomplete preference relations, this paper proposes effective solutions. Firstly, we propose a repairing method based on the similarity degree between any two decision makers and social network distances. Then, we propose the social network influence based group interactive consensus model. The model not only considers the social adjacency relation between group decision makers, but also can save the original judgment information given by decision makers on a large extent.Finally, an example of logistics enterprises choosing storage warehouse is given to illustrate the feasibility and advantages of the proposed approach.

关 键 词：社会网络 邻接关系 判断矩阵 共识 群体决策 

分 类 号：C934[经济管理—管理学]