Data envelopment analysis (DEA) estimates the relative performance of decision making units (DMUs). This paper uses the idea of the Analytical hierarchy process (AHP) method and fuzzy set theory to modify the model of DEA which can be used to evaluate the performance of business units. In this paper, a new method has been proposed for estimating the performance of DMUs with interval data and weights of data. The models proposed in previous studies have interval data or interval weights of data, so the proposed model has more flexibility than previous studies . Thus, innovation has been done theoretically and the experimental part is for testing the theory. Finally, a method is introduced for ranking the DMUs by computed performance. In order to prove the applicability of the proposed method, a case study for ranking of some Iranian automotive companies products is given. The model results indicate that the proposed model will be useful for practical problems, especially when the number of choices is limited.