Multi-objective linear programming problems with flexible fuzzy constraints

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 the introduced model, we propose a new approach, where using different 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 Linear Goal Programming (MPLGP), in one step only, achieves the optimal pareto solution for the crisp MPMOLP problem, which gives the largest possible amount of membership degree of flexible fuzzy constraints.

کلیدواژه ها:

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