DEA with Common Set of Weights Based on a Multi Objective Fractional Programming problem

Data envelopment analysis operates as a tool to appraise the relative efficiency of a set of homogenous decision making units. dea allows each dmu to take its optimal weight in comparison to other dmus while a similar condition is considered for other units. this feature threats the comparability of different units because different weighting schemes are used for different dmus. in this paper, a model is presented to determine a common set of weights to calculate dmus efficiency. this model is developed based on a multi objective fractional linear programming model that considers the original dea's results as ideal solution and seeks a set of common weights to evaluate dmus and increases the model's discrimination power. a numerical example is solved and the proposed method's results are compared to some previous methods. this comparison has shown the proposed method's advantages in ranking dmus.