Alternative neutral secondary goals for cross-efficiency evaluation

Authors

  • Masomeh Abbasi Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
  • Abbas Ghomashi Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
  • Saeid Shahghobadi Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
  • Farhad Moradi Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran.

Keywords:

Data envelopment analysis, Cross efficiency, Neutral attitude, Topsis method

Abstract

Cross-efficiency evaluation in data envelopment analysis is a useful tool for evaluating the performance of decision-making units (DMUs). Using secondary goals is one way to overcome the issue of the existence of multiple optimal solutions in the cross-efficiency evaluation method. This paper proposes two secondary goals with a neutral aspect for efficiency of the outputs of the DMU under evaluation. This aspect focuses only on the interests of the unit being evaluated and is indifferent to other DMUs. In the first proposed model, the efficiency of all the outputs of the unit under evaluation becomes as close as possible to each other. In the second model, the efficiency of all outputs of the evaluated unit moves closer to the upper limit, away from the lower limit. Finally, using two numerical examples, the effectiveness of the proposed models is shown by comparing them with the previously proposed models. Also, the TOPSIS model is used to integrate the efficiency scores obtained from different models, resulting in a unique score for ranking the units.


Published

2025-11-17

Issue

Vol. 19

Section

Vol. 19, No. 7, (2025)

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