This paper considers the rank of set efficient units in Data envelopment analysis (DEA). DEA measures the efficiency of decision making units (DMUs) within the range of less than or equal to one. The corresponding efficiencies are referred to as relative efficiencies, which describe the best performances of DMUs, and these efficient units determine efficiency frontier. This research proposes an extended on a current research by a technique for order preference by similarity to an ideal solution (TOPSIS) method. Therefore, in this paper, we first introduce two methods namely regular polygon area (RPA) and TOPSIS. Then using common set of weights in order to all efficient units obtained from DEA models, they are projected into two-dimensional plane. Finally, the units are ranked by RPA and TOPSIS methods. Also, with the numerical example, our method is compared with other methods. The obtained results of numerical example show that they are almost close to each of several methods. Manuscript profile

Data envelopment analysis (DEA) is a non-parametric technique to measure and evaluating the relative efficiencies of the set of homogenous decision making units (DMUs) with multiple inputs and multiple outputs. Traditional DEA models assume that inputs and outputs to be continuous, real-valued data. In many occasions, inputs or outputs can only take integer values. Therefore, DEA models can not be used for determining efficiency score of DMUs. The current paper applies of the modified classic DEA models to obtain attractiveness and progress in integer-valued technologies. For this aim, in the first phase, the efficiency score of all DMUs are measured and the efficient and inefficient units are determined. Then, in the second phase, we remove the main efficient frontier that corresponds to the efficient units, and then we create a new efficient frontier as the second layer efficient frontier of the remaining units (units inefficient). With repeat this process, we find the next layers until there is no any unit left. Finally, the attractiveness and progress of each unit is calculated from one efficient level relative to the other efficient level. Manuscript profile