基于AHP的样本数据包络分析模型  

Study on Sample Data Envelopment Analysis Method Based on AHP

作　　者：吕喜明[1] 马占新[2] 

机构地区：[1]内蒙古财经学院统计与数学学院,呼和浩特010051 [2]内蒙古大学经济管理学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2008年第6期614-619,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(No.70501012;No.10702023);内蒙古自然科学基金(No.200308020101;No.2007110020110);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

摘　　要：针对一般的样本数据包络分析方法无法反映决策者主观偏好及层次分析法(AHP)过分依赖决策者主观判断的弱点,从(Sam-Eva)模型和AHP方法各自的特点出发,根据决策者思维的差异性,给出了一种利用层次分析法(AHP)构造偏好锥的方法,从而得到了一个基于AHP的样本数据包络分析模型.在该模型下给出了SADEA有效性及弱有效性的概念,探讨了SADEA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.最后,用家电产品的市场潜力评价问题说明了该方法的实用性及优点.The general sample data envelopment analysis can not reflect the decision-makers＇ subjective preferences and AHP rely on decision-makers; subjective judgement too much,both of them have shortages. Based on the characteristics of Sam-Eva model and AHP method, according to the preference of decision-makers,a method to structure the restrain cone is given by using AHP method. Thereby,a sample data envelopment analysis model based on AHP is provided. At the same time the definitions of SADEA-efficiency and weak-SADEA-efficiency are developed . In addition, the relationships between SCDEA-efficiency and the relevant multi-objective programming pareto solution are discussed. Finally,the practicality and advantages of the method are illustrated by the market potential evaluation of household electrical appliances.

关 键 词：DEA AHP 约束锥 样本单元 

分 类 号：O22[理学—运筹学与控制论] O23[理学—数学]