Fair distribution of weights for ranking decision making units using cross-efficiency method in DEA

Subject Areas : International Journal of Data Envelopment Analysis

Sarvar Kassaei ¹ , Alireza Amirteimoori ² , Bijan Rahmani Parchikolaei ³

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Applied Mathematics, Islamic Azad University, Rasht, Iran
3 - Department of Mathematics, Islamic Azad University, Nour, Iran

Received: 2023-04-03 Accepted : 2023-06-24 Published : 2023-07-01

Keywords: Zero weights, Fair weights, Cross-efficiency, Data Envelopment Analysis,

Abstract :

Cross-efficiency is a frequently used method for ranking decision-making units in Data Envelopment Analysis (DEA). A fundamental weakness of this method which has been quite problematic is the presence of multiple optimal weights along with selection of zero values by many of these multiple weights in calculating cross-efficiency. In the current paper it is tried to provide a method which through utilizing fair distribution of weights resolve the mentioned problems and in this way give more validity to the cross-efficiency method in raking decision-making units.