Logical efficiency decomposition for general two-stage systems in view of cross efficiency

讲座名称：Logical efficiency decomposition for general two-stage systems in view of cross efficiency

讲座人：孟凡永 教授

讲座时间：10月27日19:00

讲座地点：腾讯会议直播（ID：199 818 763）

讲座人介绍：

孟凡永，南京信息工程大学龙山学者特聘教授、南京信息工程大学和中南大学博士生导师、中南大学大数据与智能决策研究中心副主任、亚洲科学理事会编辑、美国数学评论评论员、中国运筹学会对策论专业委员会常务理事、国家自然科学基金委管理学部与信息学部评审专家、教育部硕博论文评审专家、霍英东青年教师奖获得者、“湖湘青年英才”、湖南省青年骨干教师、湖南省121创新人才工程入选者、中南大学“升华猎英”计划获得者、中南大学“创新驱动”项目获得者、2021、2022年度入选信息与通讯技术领域“全球前2%顶尖科学家—终身科学影响力排行榜”。省部级成果奖4项。主持包括国家自然科学基金和教育部人文社科基金在内的纵向项目8项（2项国家自科基金均“优秀”结题），横向项目2项。

国家自然科学基金委管理学部A类期刊《运筹与管理》编委、国际SCI 期刊《Journal of Intelligent & Fuzzy Systems》、国际EI期刊《Granular Computing》副主编、40余种国际国内权威重要期刊评审专家。以第一或通讯作者在国内外SCI/SSCI期刊发表论文100余篇，论文在GOOGLE 学术数据库被引3200余次。研究方向包括：大群体决策、多属性群决策、博弈理论及应用研究、资源配置、供应链管理。

讲座内容：

Most of the previous cross-efficiency evaluation methods consider the evaluated system as a “black box” system. This probably leads to misleading results. For example, the system is efficient but all of its divisions are inefficient. This paper firstly investigates the cross-efficiency of a general two-stage system. In such a system, some outputs of one stage are taken as inputs of the other stage, and some other outputs directly become the final products. Since the optimal weight vector for the self-evaluation of a decision-making unit (DMU) may be non-unique, we apply the leader-follower method for the decomposition of the system’s efficiency and then adopt the optimal weights to obtain the peer evaluation. Then, multiplicative hesitant fuzzy elements (MHFEs) are applied to denote the ratio of all possible cross-efficiencies of any two DMUs. Based on MHFEs, multiplicative hesitant fuzzy preference relations (MHFPRs) are used to express these relationships comprehensively. Furthermore, the optimization models for deriving acceptably consistent MHFPRs with the minimum total adjustment and the minimum number of adjusted elements are built when the consistency of MHFPRs is unacceptable. An algorithm for decomposing the overall efficiency according to the cross-efficiency and acceptably consistent MHFPRs in the setting of the general two-stage system is provided. Finally, our method is applied to the analysis of nine top universities in China.

主办单位：经济与管理学院