In the authors' previous work, they proposed an integrated fuzzy-based admission control system (IFACS) for admission control in 5G wireless networks. In this paper, they present a new system by considering service level agreement (SLA) as a new parameter. They call this system IFACS-Q3S. They also implemented a new scheme for slice overloading cost (SOC), called fuzzy-based scheme for SOC (FSSOC). The SOC is used as a new input for the IFACS-Q3S system. The other input parameters for IFACS-Q3S are quality of service (QoS), slice priority (SP), and SLA. From simulation results, they conclude that the considered parameters have different effects on the acceptance decision. The increase of QoS, SP, and SLA caused an increase in the AD value, whereas the increase in SOC resulted in a decrease in the AD value. For SOC 0.3, when the QoS value is 0.1 and the SP value is 0.1, in the case when SLA is increased from 0.1 to 0.5 and 0.5 to 0.9, the AD is increased by 5% and 11%, respectively. On the other side, when the SLA value is 0.9, we see that AD is decreased 14% by increasing the SOC values from 0.3 to 0.8.