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Admission Control (AC) avoids network congestion by determining whether a quantified request for resources can be approved without interfering the resource allocation of already accepted traffic flows. For time sensitive networked multimedia applications conventional AC schemes often prove to be unnecessarily strict. The crisp binary admission decision and worst case assumptions on traffic behavior may result in low utilization of resources. In this paper we propose a less stringent fuzzy logic based solution for AC. It decides an admission request according to a collective set of fuzzified Quality of Service (QoS) parameters that anticipate the expected resource utilization. Furthermore, it maps qualitative and quantitative QoS parameters into a single decision metrics. The AC has been incorporated into the service oriented UPnP QoS architecture.