Abstract: Multi-granularity rough sets model is one of the hot research directions of rough set model in recent years. According to the general view, it proposes the models of variable precision pessimistic multi-granulation rough set based on triangular norm in the paper. According to the definitions of the S-norm and T-norm, a new model of variable precision pessimistic multi-granularity of upper and lower approximation is established, and its properties are studied. The modified model and its properties are investigated. An example is employed to verify the rationality of the model.

Key words: triangular norm, rough sets, variable precision, pessimistic multi-granulation

摘要： 多粒度粗糙集模型是目前粗糙集模型研究的热点方向之一。在更一般的情形下，提出了基于三角范数的变精度悲观多粒度粗糙集模型。根据S-范数和T-范数的定义，建立了一种新的基于三角范数的变精度悲观多粒度上下近似模型，并对其性质进行研究;对以上模型进行修正，并对修正模型的性质进行研究;结合实例，验证了模型的合理性。

关键词: 三角范数, 粗糙集, 变精度, 悲观多粒度