基于DEA交叉评价的模糊有效性度量方法  

Fuzzy Effective Measurement Method Based on DEA Cross-evaluation

作　　者：斯琴 马占新[1] SI Qin;MA Zhan-xin(School of Economics and Management, Inner Mongolia University, Hohhot 010021, China;School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China)

机构地区：[1]内蒙古大学经济管理学院,内蒙古呼和浩特010021 [2]内蒙古财经大学统计与数学学院,内蒙古呼和浩特010070

出　　处：《运筹与管理》2022年第4期123-128,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(72161031,71661025);内蒙古自然科学基金资助项目(2021MS07025);内蒙古草原英才项目(12000-12102012)。

摘　　要：针对模糊指标与效率指标同时存在的多属性模糊事件评价问题,提出一种基于DEA交叉效率评价的模糊有效性度量方法.该方法采用DEA交叉效率评价方法对效率指标进行分析,并模糊化得到的效率值,将其转化为基于评价集的隶属度,与原有模糊指标的评价信息一起构建模糊评价可能集,给出了模糊有效性的概念及相应的评价模型。相对于现有方法而言,该方法不仅能找出模糊对象的有效性,及评价结果较低者与有效状态间的差距,还基于模糊可能集提供了调整信息。For the evaluation problem of a multi-attribute fuzzy event with fuzzy indexes and efficiency indexes,a fuzzy effective measurement method based on DEA cross-evaluation is proposed.First,the method uses the DEA cross-efficiency evaluation method to evaluate the efficiency indexes,and the result is transformed into fuzzy membership by the fuzzy treatment.Then,the fuzzy evaluation results possible set is constructedby the above resultsand the fuzzy membership of the fuzzy indexes,the concept of fuzzy effectiveness is given,and the corresponding mathematical model is constructed.Compared with the fuzzy comprehensive evaluation,the model can not only find out the effectiveness of fuzzy objects,but alsothe gap between the lower object and the effective object,and provide useful information based on the fuzzy possible set.

关 键 词：综合评价 模糊综合评价 数据包络分析 交叉评价 

分 类 号：N945[自然科学总论—系统科学]