Abstract:

In the multi-covering approximation space, this paper presents a variety of optimistic multi-covering models and pessimistic multi-covering rough set models on two different strategies. After studying the relationships between multi-covering rough set models, the inclusion relations or equivalence relations are obtained. The research work is carried out from three aspects, which are the relationships among the optimistic multi-covering rough set models, the relationships among the pessimistic multi-covering rough set models, and the relationships among the optimistic and pessimistic multi-covering rough set models. It can provide a theoretical model to deal directly with the multi-covering approximate space.

Key words: multi-covering approximation space, multi-granulation, rough set model

摘要：

在多覆盖近似空间中研究多覆盖粗糙集模型的构造方法，根据两种不同策略，提出了多种乐观多覆盖粗糙集模型和悲观多覆盖粗糙集模型。分别从乐观多覆盖粗糙集模型间的关系、悲观多覆盖粗糙集模型间的关系、乐观多覆盖粗糙集模型和悲观多覆盖粗糙集模型间的关系这3个方面，对多覆盖粗糙集模型间的关系进行了深入研究，得到了各模型多覆盖近似集间的包含关系或等价关系。该研究为直接处理多覆盖近似空间提供了理论模型。

关键词: 多覆盖近似空间, 多粒度, 粗糙集模型