The optimization of multi-fuzzy parameters inventory models with backorder was discussed. Fuzzy theory was introduced and the inventory model was described with trapezoidal fuzzy numb. Under the arithmetical operations of function principle, by using graded mean integration representation method was used to defuzzy when the order quantity is real. The extension of the lagrangian method was integrated with reduction to absurdity to solve inequality constrain problem when the order volume is fuzzy number. The result indicates these fuzzy inventory models can be used practically.