中文摘要：

在区间值模糊概率近似空间中,提出了基于IVF（区间值模糊）概率测度的多粒度Ⅳ（区间值）决策粗糙集模型,分别讨论和刻划了平均、乐观和悲观三种情形,结果和算例验证了模型的实用性和广泛性.

英文摘要：

This paper investigates multi-granulation interval-valued decision rough sets in the frameworks of interval-valued fuzzy probabilistic approximation spaces. In addition, the mean, optimistic and pessimistic multi-granulation interval-valued decision rough sets based on interval-valued fuzzy probability measures are discusseds respectively. The results and examples illustrate the practicability and generality of the models.