A New DEA Model for evalauating fuzzy cost Efficiency

In conventional cost efficiency models, input and output data and their corresponding input prices are primarily known for each decision making unit. However, the observed values of the input and output data in real problems are occasionally imprecise. This paper shows that the cost efficiency evaluation method can be improved to account for situations where input–output data and their corresponding input prices are fuzzy numbers. A new fuzzy cost-minimizing model known as a Possibilistic Linear Programming problem, is proposed to assess the cost efficiency. In this model data information is considered as triangular fuzzy numbers. Using the α-level based approach, the model is transformed into an interval programming problem which is solved as a crisp parametric linear programming model. Finally, a numerical example is presented to illustrate the proposed method

Keywords:

Cost efficiency , Data Envelopment Analysis , Fuzzy sets , The α-level based approach