An α - feasibility of the solution in Multi-Objective Linear programming with Fuzzy Flexible Constraints

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 multiobjective linear programming model with flexible 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 two phase method to obtain an optimal solution for every objective and then,the optimal pareto solution for the reduced multi parametric multi-objective linear programming can be found by revised multi-choice goal programming model. This approach will be illustrated by a numerical example

Keywords:

multi-objective , fuzzy flexible , multi-parametric , revised multi choice