Presenting a Hybrid Model of Data Envelopment Analysis and Multi-Objective Decision Making to Achieve the Efficiency Score of Decision Making Units in Grey Environment

Data Envelopment Analysis Model is one of the methods for measuring efficiency which is used to evaluate homogeneous decision-making units. However, in making use of this technique, we need N times writing formula for n decision-making units in order to achieve the required efficiency. As a result, it is not possible to compare decision-making units in the framework of a common weight, and the model is of low discrimination power. In otherwise the classic DEA models deal with crisp parameters. Therefore, in the present study, we tried to present common weights for decision-making units by presenting a new model utilizing multi objective decision making and Grey Systems Theory to achieve efficiency of DMUs when the parameters of model are uncertain and only interval of them are defined. Finally, the evaluation results, examples are provided to compare the performance rating DMUs through classical DEA models and the proposed model is discussed.