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《Journal of Systems Engineering》 2011-02
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Generalized data envelopment analysis method based on C~2WY model

MA Zhan-xin~1,MA Sheng-yun~2 (1.School of Economics and Management,Inner Mongolia University,Hohhot 010021,China; 2.School of Mathematics Science,Inner Mongolia University,Hohhot 010021,China)  
Suppose that the reference set of evaluation can be grouped into the decision-making unit set(DMU Set) and non-decision-making unit set(non-DMU Set),then traditional DEA methods can only give the information which have relation to DMU Set but not any non-DMU Set.In order to make DEA method have the ability to provide information by using DMU Set and non-DMU Set,a generalized data envelopment analysis model(Sam-C~2WY) and the corresponding conception of DEA efficiency(Sam-DEA) are given.Then the properties of(Sam-C~2WY) model are discussed,and the relationships between(Sam-C~2WY) model and the traditional DEA models are analyzed.In addition,this paper studies the relationship between Sam-DEA efficiency and the non-dominated solution of the relevant multiple objective programming.Finally,the properties on projection and distribution of decision making units are studied.Sam-C~2WY model not only has all the properties of traditional C~2WY model,but also can provide information by any frontier of reference set.
【Fund】: 国家自然科学基金资助项目(70961005;70501012);; 内蒙古自治区自然科学基金重点项目(2010zd34)
【CateGory Index】: N945.1
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