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This paper is concerned with an intelligent application of Moving Picture Expert Group (MPEG) video transmission over IEEE 802.15.4 - ZigBee. MPEG Variable Bit Rate (VBR) video is data hungry and presents excessive time delay and data loss over a wireless communication. Conventional rate policing such as generic cell rate algorithm is inadequate to sufficiently regulate transmission of VBR data sources over bandwidth limited ZigBee. Therefore, it is impossible to transmit MPEG VBR video over ZigBee channel. A buffer entitled 'traffic-shaping buffer' is introduced to prevent excessive overflow of MPEG video data over the ZigBee channel. A new Neural-Fuzzy (NF) scheme is developed to adjust the traffic-shaping buffer output rate to eliminate unacceptable delay or loss of the VBR encoded video and to conform the data to the token-bucket's contract prior entering the ZigBee channel. A Rule-Based Fuzzy (RBF) scheme is developed to monitor the data rate entering the traffic-shaper, In order to prevent either saturation or starvation of the buffer. The simulation results show that the use of the NF scheme and the RBF scheme enables MPEG VBR video to be transmitted over ZigBee.