The purpose of admission control is to support the Quality of Service (QoS) demands of real time applications via resource reservation. In order to deal with admission control for high-speed networks, in a previous work we proposed a fuzzy based admission control scheme which is flexible and adaptive and makes an intelligent decision for call acceptance. In the previous work, we considered only two indicators for QoS and congestion control. However, for multimedia applications more QoS and CC parameters should be considered. In this paper, we extend our previous work by proposing two additional schemes which are integrated in the previous scheme. The new scheme is called Fuzzy Admission Control for Multimedia applications (MFAC). In this paper, we introduce the conventional admission control schemes and give some simulation results of their performance. We explain the proposed MFAC scheme and present the design of Fuzzy QoS Controller (FQC) and Fuzzy Congestion Controller (FCC). The performance of the new scheme and the comparison with conventional ones is for the future work.