基于一般二元关系的多粒度粗糙集模型

Multigranulation Rough Set Models Based on General Binary Relations

多粒度粗糙集模型是经典粗糙集模型的一种重要扩展形式。它使用了一族等价关系而非一个等价关系来进行目标概念的近似逼近。在多粒度粗糙集模型概念中,有乐观和悲观两种形式。本文从一般二元关系的角度出发,对多粒度粗糙集模型进行进一步扩展,分别给出了基于一般二元关系的乐观和悲观多粒度粗糙集模型的概念,并对这两种模型的性质进行了讨论。

Multigranulation rough set is a very important expansion of the classical rough set model. It uses a family of equivalence relations instead of a single equivalence relation for approximating target. In the concept of multigranulation rough set model, optimistic and pessimistic cases are different. In this paper, from the viewpoint of general binary relations, the muligranulation rough set model is further ex- panded. The general binary relations based optimistic and pessimistic rough set models are presented respectively. The properties about these two general rough set models are also discussed.