One of the modern approaches for enhancing the seismic performance of cable-supported bridges during and after earthquakes is the application of fuzzy control systems. In this study, both Type-1 and Type-2 fuzzy algorithms are employed to control the structural vibrations of the Golden Gate suspension bridge. A comprehensive three-dimensional finite element model of the bridge is developed in ABAQUS software. To modify damping characteristics, a fuzzy logic algorithm is implemented using MATLAB, and the intended damper in its active control mode is modeled in MATLAB Simulink environment. To improve performance in both active and passive control states, the damping parameters and natural frequency of the Tuned Mass damper in the passive state, as well as the frequency parameter in the active state, are optimized through a numerical search method for different mass ratios. The optimal mass ratio is then selected to perform analyses and compare various control systems. Accordingly, a passive tuned mass damper system is modeled in ABAQUS. After constructing the finite element model of the Golden Gate suspension bridge, implementing the fuzzy logic algorithm, and tuning the optimal parameters of the tuned mass damper, time history analyses are carried out under seven near- and far-field seismic records. The results indicate the high efficiency of the Type-2 fuzzy control system in mitigating seismic displacements. Based on the control of displacement and acceleration responses, the Type-2 fuzzy control approach demonstrates approximately 15% better performance compared to the Type-1 fuzzy controller. Displacements of golden gate bridge via Type-2 fuzzy control is about 50 % less than uncontrolled golden gate bridge.