We propose a new algorithm to solve multi-objective fuzzy linear programming problem. Although various models in the literature have been introduced, but we concentrate a multi-objective linear programming model with flexible fuzzy constraints. For solving the introduced model, we propose a new approach ,where using different cuts, allows the original problem reduced to the crisp multi-parametric multi-objective linear programming problems. The mentioned approach first uses a one phase method just in one phase to an optimal solution can be achieved for every objective and then, the optimal pareto solution for the reduced multi parametric multi-objective linear programming can be found by goal programming model. This approach will be illustrated by a numerical example.
