Data Envelopment Analysis (DEA) is a non-parametrical method for evaluating the efficiency of Decision Making Units (DMUs) using mathematical programming. There are several methods for evaluating the rank of efficient DMUs such as Anderson and Peterson method (AP) or Mehrabian, Alirezaei and Jahanshahloomethod (MAJ). These models work with deterministic data. In case that data is fuzzy the authors should have an appropriate technique to solve the model. In this paper, a new method is proposed to find the rank of Decision Making Units (DMUs) when all of data were fully fuzzy via MAJ model. To illustrate the proposed model numerical example is solved.