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Data Envelopment Analysis (DEA) models compute an efficiency score for Decision Making Units (DMUs) and discriminate between efficient and inefficient DMUs. Therefore, they rank DMUs except when multiple DMUs have an efficiency score of 1 or inefficient DMUs are the same in efficiency score. Hence, this paper proposes a novel method for complete ranking of DMUs that is based cross–efficiency evaluation method. One of the drawbacks in the mentioned method is the exist of multiple cross–efficiency scores due to the presence of alternative optimal solutions. So this method may not provide a ranking among the DMUs. As a result, it is recommended Linear models for selection best solution in cross–efficiency evaluation. The current paper extends the method of sexton [1986. Measuring efficiency: An assessment of data envelopment analysis. Jossey–Bass, San Francisco, 73–105] by introducing a number of models. The method are illustrated with a numerical example.<\div>

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