Abstract:

Abstract. In data envelopment analysis each decision making unit is analyzed in best situation and in CCR models for the unit under analysis the best weights are considered for inputs and outputs. So, if the decision making unit in its best situation is less than one, it is inefficient, otherwise it is efficient. Therefore, the present article is an attempt to achieve the cross efficiency matrix by using SBM and then rank the decision making units by using the cross efficiency matrix. Overall, selecting the optimal portfolio is done by cross efficiency matrix. In order to find the efficient firms the mean, column variance and covariance of data of cross efficiency scale are utilized. Finally, the cross efficiency matrix of 22 firms with two inputs and one output has been calculated using non-radial models. 

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