A novel multi-granularity three-way decision making approach in q-rung orthopair fuzzy information systems

Abstract The notion of q-rung orthopair fuzzy sets (q-ROFSs) enables decision makers to record diverse uncertain information in a larger scope by easing the limitation of membership and non-membership degrees. The paper introduces q-ROFSs into the framework of multi-granularity three-way decisions (MG-3WD) and explores a novel multi-attribute group decision making (MAGDM) approach in q-rung orthopair fuzzy (q-ROF) information systems. After reviewing some fundamental issues on q-ROFSs and MG-3WD, we first propose different types of multigranulation q-ROF probabilistic models and discuss some of their theoretical properties. Afterwards, a q-ROF MAGDM approach is constructed in light of the proposed multigranulation q-ROF probabilistic models and decision making-based 3WD methods. Then, we provide an example of corporate financial quality matching (CFQM) to show the practicability of the established q-ROF MAGDM approach. At last, corresponding sensitivity analysis, validity tests, comparative analysis and experimental analysis are arranged to reveal the applicability of the established approach from the aspect of MG-3WD.