In this work, three parameters (i.e., base material: Al5083, Al6082 and Al7075, reinforcement material: Fly-ash, SiC, and Al2O3, and percent of reinforcement material: 2.5%, 5% and 7.5%) were chosen, each with three levels, for the fabrication of AMMC samples in accordance with the Taguchi experimental design L9 in order to evaluate the tensile strength, hardness and density properties. With the considered set of material combinations, the AMMC samples are fabricated by using stir casting process. To identify the optimal combination of material parameters that results in optimized tensile strength, hardness, and density properties for the aluminum metal matrix composite. The utilization of the GRA approach facilitates the selection of material combinations that yield optimized properties in AMMC samples. Grey relational analysis proves particularly useful in cases of incomplete and uncertain information. Employing GRA, the experimental results are assessed to determine the most effective combination of material parameters. This includes Al6082 as the base material, SiC as the reinforcement material, and a reinforcement percentage of 7.5%, all contributing to the attainment of optimized properties in the AMMC sample