In this work we study approximation of fuzzy functions on a finite set of distinct points. Two types of approximation are considered, one method based on fuzzy linear programming problem, and the other method based on three independent linear programming problems. References [1] S. Abbasbandy and E. Babolian, Interpolation of fuzzy data by natural splines, J. Appl. Math. Comput. 5 (1998) 457-463. [2] S. Abbasbandy, Interpolation of fuzzy data by complete splines, J. Appl. Math. Comput. 8 (2001) 587-594.