Position monitoring systems (PMSs) that offer considerable convenience in our daily lives have been thoroughly studied in the past. A PMS has complete control of the position-related information, and it initiates the problem of a roaming users position confidentiality. We study the problem of a mobile objects position confidentiality in wireless networks. Confidentiality-preserved authentication in position-based roaming services is intended for the provision of legal access to wireless network services. Unfortunately, existing PMSs have practical inadequacies such as position cheating, higher communication cost, fake record generation, and forwarding. We propose a novel quantum-inspired hybrid intelligent PMS in wireless networks with the aim of conserving confidentiality of an individual in real-time position-based services. We devise a quantum-inspired PMS algorithm incorporating fuzzy logic and quantum computational theory to achieve computational intelligence in the problem of a mobile objects position confidentiality. To the best of our knowledge this is the first work in the PMS literature to integrate the concept of quantum-inspired computation, and hence the proposed PMS algorithm is also the first quantum-inspired hybrid intelligent PMS algorithm for solving the position confidentiality problem with the anonymity concept. The simulation results and case studies prove that the proposed quantum-inspired PMS can conserve confidentiality of the roaming user with reduced communication cost. © 2017 Elsevier Inc. All rights reserved.