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《Mathematics in Practice and Theory》 2011-21
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Generalized Data Envelopment Analysis Method by Using Sample Units

MA Zhan-xin~(1,2),MA Sheng-yun~(2,3) (1.School of Economics and Management,Inner Mongolia University,Hohhot 010021,China) (2.School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) (3.School of Science,Inner Mongolia Agricultural University,Hohhot 010018,China)  
Traditional DEA method is evaluation method based on a self-assessment system, decision-makers can not choose a frame of reference freely.In order to solve the DEA method can also based on self-assessment system and other frame of reference for evaluation,the concept of the generalized DEA efficiency is presented at first.Then a class of generalized data envelopment analysis models based on the sample units are given,including generalized DEA model for input-oriented and output-oriented situation,and generalized additive DEA model.Finally,the relationship between these models and the traditional DEA models is analyzed,the relationship between the generalized DEA efficiency and corresponding Pareto efficiency of multi-objective programming is explored,and the property of projection and the method of ranking decision making units are given.
【Fund】: 国家自然科学基金(70961005 70501012);; 内蒙古自治区自然科学基金重点项目(2010zd34)
【CateGory Index】: N945.1;O242.1
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Chinese Journal Full-text Database 6 Hits
1 MA Zhanxin(School of Economics and Management,NeiMongol University, Hohhot 010021,PRC);An Evaluation Method Based on Some Sample Units[J];Acta Scientiarum Naturalium Universitatis Neimongol;2002-06
2 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);Generalized data envelopment analysis method based on C~2WY model[J];Journal of Systems Engineering;2011-02
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4 MA Zhan xin (School of Economics and Management, Inner Mongolia University, Huhehot 010021, China);Research on the Data Envelopment Analysis Method[J];Systems Engineering and Electronics;2002-03
5 MA Zhan-xin1,L Xi-ming2(1.School of Economics and Management,Inner Mongolia Univ.,Hohhot 010021;2.School of Science and Technology,Inner Mongolia Univ.,Hohhot 010021);Study on sample data envelopment analysis method with restrain cone[J];Systems Engineering and Electronics;2007-08
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