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In this paper, we present and make comparison between the MFO and PSO methods to tuning fractional order fuzzy PID controller for a DC-DC Boost Converter where MFO and PSO algorithms used to find the optimal parameters of FOFPID controller for A DC-DC Boost Converter. The results showed that Moth-flame optimization algorithm with fractional order fuzzy PID controller give better performance compared with fractional order fuzzy PID controller with PSO and fuzzy PID controllers. Finally, The Moth-flame optimization (MFO) method is helpful to choose the best parameters of Fractional Order Fuzzy PID Controller for A DC-DC Boost Converter.