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.

q-rung orthopair模糊集（q-ROFSs）的概念使决策者能够通过缓解隶属度和非隶属度的限制，在更大范围内记录各种不确定信息。本文将 q-ROFS 引入多粒度三向决策 (MG-3WD) 框架中，并在 q-rung orthopair 模糊 (q-ROF) 信息系统中探索了一种新的多属性群决策 (MAGDM) 方法。在回顾了 q-ROFS 和 MG-3WD 的一些基本问题之后，我们首先提出了不同类型的多颗粒 q-ROF 概率模型并讨论了它们的一些理论特性。然后，根据提出的多粒度 q-ROF 概率模型和基于决策的 3WD 方法构建了 q-ROF MAGDM 方法。然后，我们提供了一个企业财务质量匹配（CFQM）的例子来展示已建立的 q-ROF MAGDM 方法的实用性。最后通过相应的敏感性分析、有效性测试、对比分析和实验分析，从MG-3WD的角度揭示了所建立方法的适用性。