The aim of this study is to evaluate the efficiency of five active supply chains which have the same structure, by a combined model of the fuzzy data envelopment analysis and the balanced scorecard in Tabriz automotive industry. The input and output data which are triangular fuzzy numbers, are symmetrically entered into the model and the model output is an asymmetric triangular fuzzy number per decision unit, which indicates the performance of the supply chain. The balanced scorecard (BSC) method is used as a tool for designing the performance evaluation indicators in four aspects, namely: the finance,the processes,the customer and the learning and growth of the human resources. The FDEA model used, has the ability to use definite and fuzzy data simultaneously and provide output in the fuzzy format, and on this basis, calculate the efficiency of five automobile companies, namely: Azhitics car company, Rakhsh Khodro Diesel company, Siba Motor company, Azar Motor Industrial Company (Amico), and Azerbaijan Diesel Khodro company. The research is applied-descriptive research and the measurement tool is questionnaire. Financial documents and information analysis method are the mathematical model of FDEA, BSC and sensitivity analysis. The results show that the efficiency of Azhitechs is higher than the other companies studied. Using sensitivity analysis and analysis of fuzzy data coverage, the companies Amico, Siba Motor, Rakhsh Khodro, Azhitechs and diesel cars are ranked as 1, 4, 5, 2 and 3, respectively, which also increase with increasing confidence level of the fuzzy number center that determines the efficiency of supply chains.