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

  • Authors:
  • G. R. Jahanshahloo;M. Khodabakhshi;F. Hosseinzadeh Lotfi;M. R. Moazami Goudarzi

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2011

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Abstract

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.