考虑指标关联的网络DEA效率测度研究  

Network Data Envelopment Analysis Considering the Interactions Between Criteria

作　　者：岳未祯 陈锐 索玮岚 YUE Wei-zhen;CHEN Rui;SUO Wei-lan(University of Chinese Academy of Sciences,Beijing 100049,China;Department of Academic and Societies Affairs,China Association for Science and Technology,Beijing 100863,China;Institutes of Science and Development,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]中国科学院大学,北京100049 [2]中国科学技术协会学会学术部,北京100863 [3]中国科学院科技战略咨询研究院,北京100190

出　　处：《数学的实践与认识》2019年第18期50-60,共11页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71673267)

摘　　要：现有网络DEA模型通常在测度指标相互独立的假设前提下进行生产系统效率测度,然而这一假设并不与现实完全相符.针对网络生产系统效率测度指标间存在关联关系的情形,引入模糊测度理论中的Choquet积分,对传统网络DEA模型进行了扩展·首先,分别给出了Choquet积分和网络DEA模型的相关基础知识;然后以串联DEA模型为例,构建了考虑指标间关联的网络DEA模型(C-NDEA模型),进而定义了指标关联情形下网络生产系统有效性的判定标准,并给出了相关定理及其证明;最后通过一个算例验证了所构建C-NDEA模型的合理性和有效性.Usually,network DEA model is used to measure efficiency of production systems under the assumption that criteria are independent,which is not completely consistent with the reality.Considering the interactions between criteria,Choquet integral in fuzzy measure theory is introduced to extend the traditional network DEA model.Firstly,the basic knowledge of Choquet integral and network DEA model are elaborated.Then,the construction process of Choquet-network DEA model(C-NDEA model)is explicated by taking the network DEA model with serial structure as an example.Subsequently,the definition of determining production system effectiveness as well as some related theorems and proofs are given.Finally,the rationality and validity of the proposed C-NDEA model are verified by an example.

关 键 词：效率测度 网络DEA模型 指标关联 CHOQUET积分 

分 类 号：F273[经济管理—企业管理] O225[经济管理—国民经济]