One of the most arduous topics for next-generation wireless networks - 4G and beyond - is the operation of vertical handover considering the fact that many wireless communication technologies have been deployed in order to handle mobile users any time, anywhere and anyhow. Furthermore, users are more and more captivated by multimedia applications such as audio, video and voice, which need strict Quality of Service (QoS) support. Thus, keeping the user Always Best Connected (ABC) with such constraints is a challenging task. In this paper, we propose an approach for network selection based on Fuzzy Analytic Hierarchy Process (FAHP), applied to determine the relative weights of the evaluation criteria. Afterwards Simple Additive Weighting (SAW) is used to rank the available networks. Implementation and simulation experiments with Network Simulator NS3 are presented in order to validate our proposed approach. The empirical results show that FAHP, compared with classic AHP, achieves a significant improvement up to 10 % in term of delay and 25 % in term of packet loss.