Due to the imprecision and immeasurability of the user's feeling, the search for proper expression of a user's satisfaction function (USF) in multi-media network is challenging. In this article, we propose fuzzy logic as an effective means of meeting these challenges. First, we introduce a new Fuzzy Satisfaction Factor (FSF) from a collective set of fuzzified Quality of Service (QoS) parameters that anticipate the expected user's satisfaction. Second, a scheduling method based on FSF for zero-forcing beamforming (SBF-ZF) is proposed in the multiuser multiple-input multiple-output (MIMO) broadcast channels. Simulation results demonstrate that the novel scheduling method can improve the system average traffic satisfaction (SATS) significantly while nearly achieving the maximum sum capacity of downlink MIMO systems.