Fuzzy data envelopment analysis approach based on sample decision making units

作     者：Muren Zhanxin Ma Wei Cui 

作者机构：School of Mathematical Sciences Inner Mongolia University Hohhot 010021 E R. China Department of Mathematics Inner Mongolia University of Technology Hohhot 010051 E R. China School of Economics and Management Inner Mongolia University Hohhot 010021 P. R. China 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2012年第23卷第3期

页      面：399-407页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 081203[工学-计算机应用技术] 08[工学] 070105[理学-运筹学与控制论] 0835[工学-软件工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

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) 

主　　题：fuzzy mathematical programming sample decision making unit fuzzy data envelopment analysis efficiency α-cut. 

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.