Mobile ad-hoc networks are the most uncertain type of networks. Uncertainty occurs due to the mobile nature of the nodes, continuous consumption of energy and bandwidth results in unpredictable state of nodes. In this situation making an efficient, reliable and stable route selection is a challenging task and an open research problem aiming to provide continuous data transfer between source and destination node. Multipath routing protocol ensures reliable communication by providing multiple paths between source and destination nodes. To choose the best one among different alternative paths is the problem addressed by this paper. For this purpose fuzzy logic (multi valued logic) has been used. Fuzzy logic is a soft computing technique which is able to make precise and accurate decision in multi variable, uncertain and imprecise situation. Here, firstly Multipath Priority Based Route Discovery Mechanism (MPRDM) has been used to generate multiple paths between the two nodes participating in the communication. MPRDM calculates individual priority value for every RREP packet and assigns it to the different obtained routes. Further, in this paper fuzzy logic has been used for designing fuzzy route selection controller for Fuzzy Logic Based Stable Route Selection mechanism (FLSRSM) which calculates stability value of different routes based on priority value, average mobility and residual energy along the paths FLSRSM is able to make selection of best stable path based on the highest value of stability metric. This mechanism has been used to propose fuzzy based priority ad-hoc on demand multipath distance vector stable routing protocol (FPAOMDV) that provide stability, reliability and selects the route that has sufficient amount of energy to hold continuous data transfer. In Simulation results on NS2, the proposed protocol outperforms other compared routing protocols in terms of delay, throughput, PDR and overhead.