【摘要】 在需要多层次、多角度分析问题的模型中，多粒度粗糙集模型无疑是最好的选择。本文介绍了变精度多粒度粗糙集的思想，并在其论域扩展不足的基础上提出了双论域上变精度多粒度粗糙集。与经典的多粒度粗糙集一样，分别定义了双论域上变精度乐观多粒度粗糙集和双论域上变精度悲观多粒度粗糙集，不仅研究了双论域上变精度多粒度粗糙集的性质，还研究了其模型之间的联系，并通过一个例子来说明本模型的可应用性。更多还原

【Abstract】 The multi-granularition rough set model is without a doubt the best option for models that require multi-level and multi-angle analysis.The concept of variable-precision multi-granularition rough sets is introduced in this paper, and a dual-domain up-variable-precision multi-granularition rough set based on the universe’s insufficient expansion is proposed. The optimistic variable-precision multi-granularition rough sets on the dual universe and the pessimistic variable-precision multi-granularition rough sets on the dual universes are defined in the same way as the classical multi-granularition rough sets. The model’s properties are also investigated, and an example is used to demonstrate its applicability.更多还原