Extended utilization of adaptive algorithms, Evaluative Algorithms (EAs), to address these issues offers a way to handle massive multi-objective optimization, even if the algorithmic method for handling combinations of objectives (CO) has been accessible for quite some time. Combining the idea of superiority with the Hypervolume (HV) tag approach, the GSA algorithm utilizes various target effects to explain several algorithms depending on the Hypervolume (HV) spacing. The Multi-objective Gravitational Search Algorithm with Hypervolume (MOGSA/HV). Since rapid convergence could result from GSA foundation work, Hypervolume rewrites the multi-objective problem (MOP) as a sequence of Tchebycheff solutions, improving it. Since the one in charge has already decided to utilize this method (Tchebycheff) as a benchmark, solving all of the (MOGSA/HV) problems simultaneously is a formidable challenge. In leader group construction, non-dominant groups are significant in containing less dense areas, avoiding nearby regions, and producing a more diversified and compact Pareto Frontier. This outcome was produced using nine conventional nonlinear functions. It might seem that MOGSA/HV outperforms Multi-objective Evolving Algorithm under Density Indicator (MOEAD), Non-Sorting Genetic Algorithm Two (NSGAII), Multi-Particle Swarm Optimization under Distance Indicator (MPSOD), and Spacing Evolving Algorithm Two (SPEA2). The results we obtained showed the efficiency of the new algorithm compared to other algorithms, which was based on its convergence to the optimal solution based on the (HV). Every single end product was created using MATLAB