The use of online social networks has become a crucial activity for individuals in recent years. Users have started to share more data in online social networking platforms. The shared content sometimes includes more than one user's information. This type of data sharing has caused privacy issues as users are only informed after the sharing process is completed. Although, many of the current studies have focused on applying group decision making in data sharing processes, this technique remains a challenge. In this study, we provide a framework in which a consensus-based group decision making process is used in order to take the best decision in co-owned data sharing processes in online social networking. INDEX TERMS Consensus-reaching, co-owned data sharing, fuzzy decision making systems, group decision making, online social networks, users trust values. MO ADDA received the Ph.D. degree in distributed systems and parallel processing from the University of Surrey. He was a Senior Lecturer with the University of Richmond, where he taught programming, computer architecture, and networking, for ten years. From 1999 to 2002, he was a Senior Software Engineer developing software and managing projects on simulation and modeling. He has been researching parallel and distributed systems, since 1987. He is currently a Principal Lecturer in computer networks with the School of Computing, University of Portsmouth. His research interests include software-defined networks, wireless sensor networks, mobile networks, and business process modeling, simulation of mobile agent technology.