Abstract.  In this paper, an approach is proposed to solve the Fuzzy Linear Fractional Programming Problems (FLFPP), where all the coefficients are fuzzy numbers. In this approach, we use Zadeh’s extension principle to drive the fuzzy optimal objective value. Applying the extension principle on the problem, two crisp two-level fractional linear programming problems are obtained to compute the lower and upper bounds of the fuzzy optimal objective value of FLFPP at the possibility level $\alpha$. Then the two problems are converted to two crisp one-level fractional linear programming problems. Using Charnes and Cooper’s method, the recent problems are transformed to two crisp linear programming problems. Driving the lower and upper bounds, we can obtain the membership function of the fuzzy optimal objective value. With regard to the different values $\alpha$, we can estimate the membership function of the optimal objective value. The membership function gives more information to make decision.