Floating offshore wind turbine (FOWT) systems are advancing quickly, but they still need to become economically viable for large-scale commercial adoption. Design optimization is essential for reaching this objective by reducing costs while ensuring the best possible system performance and structural integrity. The present study aims to carry a comparative multi objective optimization (MOO) of a 10MW FOWT semisubmersible using three different metaheuristic optimizations technics and sophisticated approach for optimizing a floating concept through the utilization of global limit states. The optimization is performed in Python, integrating PyMAPDL and PyMOO for intricate modeling and simulation tasks. The ZJUS10 floating offshore wind turbine (FOWT) platform, developed by the state key laboratory of wind power at Zhejiang University, is employed as the basis for this study. Key criteria, such as platform stability, overall structural mass, and the stress, are pivotal in formulating the objective functions. Based on a preliminary study the three Metaheuristic Optimization Algorithms chosen for optimization are Particle Swarm Optimization (PSO), Simulated Annealing (SA), and Ant Colony Optimization (ACO). Then, the solutions are evaluated based on Pareto dominance, leading to a Pareto front, a curve that represents the best possible trade-offs among the objectives. Each algorithm's convergence is meticulously evaluated, leading to the selection of the optimal design solution. The results evaluated in simulations elucidate the strengths and limitations of each optimization method, providing valuable insights into their efficacy for complex engineering design challenges. In the post-processing phase, the performance of the optimized FOWT platforms is thoroughly compared both among themselves and with the original model, resulting in validation and endorsement.