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中文摘要：
把Pawlak粗糙集模型从经典的单粒度粗糙集模型扩展到多粒度粗糙集模型,用论域上的多个等价关系定义了集合的近似.研究了多粒度粗糙集模型的一些数学性质,定理表明Pawlak粗糙集的许多性质是多粒度粗糙集的特殊情况,并且使用多粒度定义的近似度量优于单粒度定义的度量,该度量更适合描述概念的精度并利于解决用户需求的问题.
英文摘要：
The Pawlak rough set model is mainly focused on the approximation of sets described by single binary relation on the universe. In the view of granular computing,classical rough set model has been re-searched by single granulation. The Pawlak rough set model has been extended in this paper to multi-gran-ulation rough set model, where the set approximations are defined by multi-equivalences on the universe. Mathematical properties of multi- granulation rough set have been investigated. Theorems show that some properties of Pawlak rough set are special circumstances of the multi-granulation rough set, approximation measure of set described by using multi-granulation is superior to by using single granulation, which is for describing more accurately the concept and solving problem according to user requirement.
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