摘要
考虑到单值中智集具有全面且准确描述不确定信息的优势,文章提出了社交网络环境下基于单值中智信息的大规模群决策方法.首先,结合Louvain算法对社交网络进行分区,并确定分区团体中各决策者权重以及分区团体在整个社交网络中的权重.其次,提出改进的单值中智加权平均算子与改进的单值中智有序加权平均算子,并探讨算子的合理性以及相关性质.结合所提算子,对分区团体中各决策者的偏好信息以及整个网络中决策者的偏好信息进行集结.再次,采用单值中智距离测度检测分区团体中决策者的一致性水平,并利用改进的单值中智加权平均算子与单值中智数比较方法对候选方案进行排序.最后,结合中国某海外矿产投资项目选择案例验证所提方法的可行性与有效性,并通过灵敏度分析与比较分析证明所提方法的优越性.
Considering the advantages of single-valued neutrosophic sets(SVNSs)in describing uncertain information,this paper proposes a large-scale group decisionmaking(LSGDM)method based on single-valued neutrosophic information under the social network(SN)environment.First,the SN is partitioned by Louvain algorithm,and the weights of each expert in the partition group and the weights of the partition group in the whole SN are determined respectively.Second,the improved single-valued neutrosophic weighted average(ISVNWA)operator and the improved single-valued neutrosophic ordered weighted average(ISVNOWA)operator are proposed,and the related properties are discussed as well.Then combined with the proposed operators,the preference information of each expert in the partition group and the preference information of the experts in the whole SN are aggregated respectively.Third,according to the single-valued neutrosophic distance measure,the consistency of experts in partition group is detected,and the candidate alternatives are ranked using the ISVNWA operator and the comparison method of single-valued neutrosophic numbers(SVNNs).Finally,an illustrative example of mineral overseas investment project selection is provided to demonstrate the feasibility and effectiveness of the proposed method,and the advantages of the proposed method are proved by sensitivity analysis and comparative analysis.
作者
彭娟娟
田超
PENG Juanjuan;TIAN Chao(School of Information Management and Artificial Intelligence,Zhejiang University of Finance&Economics,Hangzhou 310018)
出处
《系统科学与数学》
CSCD
北大核心
2022年第4期935-954,共20页
Journal of Systems Science and Mathematical Sciences
基金
浙江省哲学社会科学规划课题(21NDJC099YB)
浙江省自然科学基金一般项目(LY20G010006)
国家自然科学基金青年项目(71701065)资助课题。
关键词
大规模群决策
社交网络
单值中智数
改进的单值中智加权平均算子
改进的单值中智有序加权平均算子
Large-scale group decision-making
social network
single-valued neutrosophic numbers
improved single-valued neutrosophic weighted average operator
improved single-valued neutrosophic ordered weighted average operator
