Optimal βk-stable interval in VPRS-based group decision-making: A further application

This study extends the extant research on use of variable precision rough set (VPRS) for group decision-making (GDM), where the optimal βk-stable interval is derived for the best group consensus. Firstly, we introduce the basic concepts a VPRS model encompasses, and the approach of VPRS-based GDM. Next, using a mathematical programming approach, we derive the optimal βk-stable interval for DMk. Then, an application in petroleum project investment risk management, including risk-based project selection and risk ranking, is investigated. The results suggest that βk-stable intervals have significant impacts on risk management.