Ranking Efficient Decision Making Units Using Cooperative Game Theory Based on SBM Input-Oriented Model and Nucleolus Value

In evaluating the efficiency of decision making units (DMUs) by Data Envelopment Analysis (DEA) models, may be more than one DMU has an efficiency score equal to one. Since ranking of efficient DMUs is essential for decision makers, therefore, methods and models for this purpose are presented. One of ranking methods of efficient DMUs is cooperative game theory. In this study, Lee and Lozano models are used, which are a combination of DEA and game theory. Also, the SBM input-oriented model and the solution concept of the nucleolus value are used to rank the efficient decision making units.