Using the theory of partially ordered sets to study data envelopment analysis

Using the theory of partially ordered sets to study data envelopment analysis

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Article ID: iaor20033334
Country: China
Volume: 17
Issue: 1
Start Page Number: 19
End Page Number: 25
Publication Date: Feb 2002
Journal: Journal of Systems Engineering and Electronics
Authors: , ,
Abstract:

There is a close relationship between an efficient unit and a maximum element in DEA. On the basis of the theory of partially ordered sets, this paper gives some characteristic properties of effective units in several DEA models and analyzes the structure of frontiers in C2R, C2GS2 models, then proves there is a one to one correspondence between an effective point and a maximum element. At the same time, the meaning of DEA efficiency is explained and a basic rule of selecting models is provided. In addition, the effects upon DEA efficiency due to the structure change of possible productive collections are discussed and some results are given. Finally, some suggestions for further research are provided.

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