G.A Ramzannia-Keshteli - Department of Mathematics, University of Mazandaran, Babolsar, Iran
S.H. Nasseri - Department of Mathematics, University of Mazandaran, Babolsar, Iran

We propose a new algorithm to solve Fuzzy Multi-Objective Linear Programming (FMOLP) problem. Although various models in the literature have been introduced, we concentrate a Multi-Objective Linear Programming model with Flexible Fuzzy Constraints(MOLPFFC).to solve theintroduced model, we propose a new approach ,where using different α-cuts, allows the original MOLPFFC problem to reduce to the crisp Multi-Parametric Multi-Objective Linear Programming(MPMOLP) problems. The mentioned approach using a new model of Multi-Parametric LinearGoal Programming(MPLGP), in one step only, achieves theoptimal pareto solution for the crisp MPMOLP problem, which gives the largest possible amount of membership degree of flexible fuzzy constraints.

multi-objective, flexible fuzzy, multi-parametric, goal programming