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Soft handoff in CDMA cellular system increases system capacity as compared to hard handoff as interference is reduced by transmitting signals as lower power level. A CDMA cellular system involving multiclass calls is considered in this paper. The type of services considered are voice and video which comes in category of real time calls. Data calls are also considered which falls in the category of non-real time calls. The developed model is based on priority reservation for handoff calls along with call queuing. Upper channel restrictions are set for new voice, video and data calls to give priority to handoff calls. For better resource management and efficient call admission to originating and handoff calls, Neuro-fuzzy call admission controller is designed. This controller uses the adaptable feature of soft handoff threshold parameters to house important real time and non-real time calls by monitoring current real time call blocking probability, handoff data dropping probability and real time handoff call dropping probabilities. The proposed ASNFC-MC controller is compared with Cut-off priority based call admission control scheme for required QoS of the system.