Fuzzy data envelopment analysis approach based on sample decision making units  

作　　者：Muren Zhanxin Ma Wei Cui 

机构地区：[1]School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, E R. China [2]Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, E R. China [3]School of Economics and Management, Inner Mongolia University, Hohhot 010021, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2012年第3期399-407,共9页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (70961005);211 Project for Postgraduate Student Program of Inner Mongolia University;National Natural Science Foundation of Inner Mongolia (2010Zd34;2011MS1002)

摘　　要：The conventional data envelopment analysis （DEA） measures the relative efficiencies of a set of decision making units with exact values of inputs and outputs. In real-world prob- lems, however, inputs and outputs typically have some levels of fuzziness. To analyze a decision making unit （DMU） with fuzzy input/output data, previous studies provided the fuzzy DEA model and proposed an associated evaluating approach. Nonetheless, numerous deficiencies must still be improved, including the α- cut approaches, types of fuzzy numbers, and ranking techniques. Moreover, a fuzzy sample DMU still cannot be evaluated for the Fuzzy DEA model. Therefore, this paper proposes a fuzzy DEA model based on sample decision making unit （FSDEA）. Five eval- uation approaches and the related algorithm and ranking methods are provided to test the fuzzy sample DMU of the FSDEA model. A numerical experiment is used to demonstrate and compare the results with those obtained using alternative approaches.The conventional data envelopment analysis （DEA） measures the relative efficiencies of a set of decision making units with exact values of inputs and outputs. In real-world prob- lems, however, inputs and outputs typically have some levels of fuzziness. To analyze a decision making unit （DMU） with fuzzy input/output data, previous studies provided the fuzzy DEA model and proposed an associated evaluating approach. Nonetheless, numerous deficiencies must still be improved, including the α- cut approaches, types of fuzzy numbers, and ranking techniques. Moreover, a fuzzy sample DMU still cannot be evaluated for the Fuzzy DEA model. Therefore, this paper proposes a fuzzy DEA model based on sample decision making unit （FSDEA）. Five eval- uation approaches and the related algorithm and ranking methods are provided to test the fuzzy sample DMU of the FSDEA model. A numerical experiment is used to demonstrate and compare the results with those obtained using alternative approaches.

关 键 词：fuzzy mathematical programming sample decision making unit fuzzy data envelopment analysis EFFICIENCY α-cut. 

分 类 号：O22[理学—运筹学与控制论] TP391.14[理学—数学]