Journal of Networking Technology Jawad Oubaha, Abderrahmane Ez-zahout 9 2 2018 http://www.dline.info/jnt/fulltext/v9n2/jntv9n2_3.pdf For the mapping the network interconnection of the different technology MPLS backbone and the wireless network WiFi, we have only one choice to ensure the Quality of service the end-to-end. It is the service mapping considering as the future solution to ensuring the performance traffic engineering between Label Switch Path "LSP" of MPLS and access Category "AC" of IEEE802.11e wireless. This paper will propose the mapping between these technologies with Fuzzy logic to optimize the quality of service in MPLS networks. MPLS and 802.11e is very useful approach for today’s things, the internet of Big Data to keep a level of the Quality of service the end-to-end. It studies about different approaches to map 802.11e Access Categories (AC) to Label Switched Path (LSP) and their contributions. It then introduces the concept of encapsulated LSPs with Fuzzy to achieve future QoS, which requires an in-depth study to examine its practicability.