Using Monte Carlo method, the compensation temperature and hysteresis loops of a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising-type graphene-like bilayer are investigated induced by different physical parameters such as crystal field, exchange coupling, external magnetic field and temperature. The variation of magnetization, magnetic susceptibility, specific heat and the internal energy with the change of temperature are discussed. In addition, we also plotted the phase diagrams including transition temperature and compensation temperature. Finally, multiple hysteresis loops under the certain parameters are given.