We present a new method namely separation and addition method to solve fully intuitionistic fuzzy linear programming (IFLP) problems. The main advantage is that the nature of the intuitionistic variables were not changed in to crisp by ranking functions. Further, it is decomposed into multi-objective linear programming (MOLP) and linear programming (LP) technique by its arithmetic operation and ordering relations. Numerical example will explain clearly about the proposed method. © 2019 Author(s).