带有偏好锥的样本数据包络分析方法研究  

Study on sample data envelopment analysis method with restrain cone

作　　者：马占新[1] 吕喜明[2] 

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]内蒙古大学理工学院,内蒙古呼和浩特010021

出　　处：《系统工程与电子技术》2007年第8期1275-1281,共7页Systems Engineering and Electronics

基　　金：国家自然科学基金(70501012);内蒙古自治区自然科学基金(200308020101);内蒙古自治区高等学校科学研究基金(NJ03112);内蒙古大学"513"人才计划项目资助课题

摘　　要：针对传统数据包络分析方法无法依据确定参考面提供评价信息的弱点,给出了带有偏好锥的样本数据包络分析模型(PSam-C2WH)和相应的SCDEA有效性及弱有效性概念。分析了(PSam-C2WH)模型的性质以及它与传统DEA模型之间的关系,探讨了(PSam-C2WH)模型刻画的SCDEA有效性及弱有效性与相应的多目标规划非支配解之间的关系。进而,分析了决策单元在样本可能集中的分布特征、投影性质和模型含义等问题。To solve the problem that data envelopment analysis （DEA） methods can not provide evaluating information by a determinate frontier, a new sample DEA method with restrain cone （PSam-C^2 WH） is provided by using some sample units. At the same time, the definitions of SCDEA-efficlency and weak-SCDEA-efficiency are developed. The relationships between （PSam-C^2WH） and other evaluation models are discussed. In addition, the relationship between SCDEA-efficiency and the relevant multiple objective programming pareto effective solution is studied. Finally, the properties on projection and distribution of decision making units are studied, and the meaning of SCDEA-efficiency and weak-SCDEA-efficiency are explained.

关 键 词：综合评价 数据包络分析 多目标决策 Pareto有效解 样本单元 

分 类 号：N94[自然科学总论—系统科学]