A cross‐efficiency model based on super‐efficiency for ranking units through the TOPSIS approach and its extension to the interval case

One of the most important approaches for ranking decision‐making units in data envelopment analysis is the cross‐efficiency method. The main idea of cross‐efficiency is to use data envelopment analysis in peer evaluation, instead of only a self evaluation. However, in the cross‐efficiency method, optimal weights corresponding to evaluation of decision‐making units may not be unique. In this research with modifying the cross‐efficiency method we are going to overcome this problem. Then with regard to the changes and using the TOPSIS method we present a new super‐efficient method to rank all decision‐making units. Furthermore, we extend the proposed method to the case that data are intervals.