The enormous developments in new generation networks reveal the high bandwidth requirements of mobile users. Therefore, wireless communications technologies move higher frequencies with a small coverage area. The small cell concept exposes these advancements for 5G network framework. The small cell issue is a part of 5G networks with non-orthogonal multiple access, millimeter-wave communications, massive MIMO technology, IoT, spectrum sharing, ultra-dense networks, D2D communications, etc. The small cell with small coverage area and seamless communications needs of the mobile users reveal the dense networks with explosive data traffic. The handover process undertakes an important task for 5G networks according to the dense network, small coverage area, and user mobility specifications. In this study, we aim to investigate classic RSSI based handover scheme and fuzzy logic based handover scheme with NOMA for 5G networks. We take into consideration RSSI, BER, and Outage Probability parameters for fast and seamless handover decisions and utilize NOMA technique for users' multiple access. This is the first study for 5G small cell networks fuzzy logic-based handover scheme with NOMA in the literature.