Abstract: The variety of two direction S-rough sets boundary can arouse system uncertainty. Aiming at this problem, this paper proposes the concepts of inside boundary and outside boundary. The relevant properties of inside boundary and outside boundary are discussed and the measure method of relative precision is expatiated. It gives the approximate method to deal with system uncertainty and proves the relative precision obtained by agile movement of the element in the boundary domain of two direction S-rough set can meet the error requirement by example. The system feasibility and effectiveness are validated.

Key words: two direction S-rough set, boundary, relative precision, system uncertainty

摘要： 双向S-粗集的边界变化会引起系统不确定性。针对该问题提出内边界和外边界的概念，讨论内边界和外边界的相关性质，阐述相对精度度量方法。给出系统不确定性近似处理方法，通过实例说明在双向S-粗集边界域中，元素灵活迁移而得到的相对精度能满足一定分类误差要求，验证了该系统的可行性和有效性。

关键词: 双向S-粗集, 边界, 相对精度, 系统不确定性

CLC Number: 

• TP391