Cross AHP/DEA method for ranking Decision Making Units

Document Type : Research Paper


1 Assistant Prof. of IUST, Dep. of Mathematics, Tehran, Iran

2 M.Sc. Student in Applied Mathematics, University of Science and Technology, Tehran, Iran

3 Ph.D. Student in Applied Mathematics, University of Science and Technology, Tehran, Iran


All the basic models in Data Envelopment Analysis divide the Decision Making Units to two categories: efficient and inefficient. So, there is no separation for the efficient units. In The Analytical Hierarchy Process in spite of complete ranking of units, the process of pairwise comparison matrix making is based on experts’ ideas, causes error and inconsistency in resulted matrix. In this paper first we suggest a combined method called cross AHP/DEA method for ranking the units that not only uses the strength of The Analytical Hierarchy Process and Data Envelopment Analysis methods in presenting a rational ranking, but also covers the older methods problems noticeably and then we explained properties and advantages of our method in comparison to other methods. Finally, for better comparison we designed some numerical examples.


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