Recently, Flexible Fuzzy Linear Programming (FFLP) problems have been many attracts in the literature of fuzzy mathematical programming. Hence, this project will be concentrated on two main parts for these models: 1) Extending the current models to a more general form, 2) Establishing some new approaches for solving Flexible Fuzzy Linear Programming problems. However, this model is essentially practical and will be useful for many models in the real life, with this regard there are a few methods to solve these models. In the most of the suggested approaches which are appeared in the literature the solving processes need at least two phases where each phase needs to solve a linear programming problem, while we are going to provide a new approach to may solve the same given problem at just one phase and in particular by solving one problem. Furthermore, by this approach the sensitivity analysis on Fuzzy Flexible Linear Programming problems is simpler in the complexity sense.