Ranking of Efficient and Non-Efficient Decision Making Units with Undesirable Data Based on Combined Models of DEA and TOPSIS

Data Envelopment Analysis (DEA) is a method for determining the performance of units under evaluation of DMUs. Each decision-making unit using multiple inputs produces multiple outputs whose nature of outputs may be desirable or undesirable. Units whose performance score equals one are efficient. The concept of ranking decision makers because of the useful information they provide to decision makers compared to other units is one of the important concepts in data envelopment analysis. In this study, a new development method is presented to evaluate and rank decision makers based on performance scores. Also, to evaluate the validity of the proposed method, the ranking of decision makers based on two other approaches (TOPSIS method and ideal and non-ideal option method in DEA) was calculated and compared. The results showed that the ranking of decision makers using the New Development Model (DEA (N)) is a suitable solution for calculating the efficiency and ranking of decision makers, which is based on the number of calculations and the time taken. Computing is much more efficient.