多粒度粗糙集与多源信息系统中的粗糙集模型

多粒度粗糙集模型建立在一族而非仅仅一个不可分辨关系的基础上的,而多源信息系统中的粗糙集模型则是在一族而非仅仅一个信息系统中构建的.证明乐观多粒度下近似与多源信息系统中的弱下近似等价,乐观多粒度上近似与多源信息系统中的强上近似等价,悲观多粒度下近似与多源信息系统中的强下近似等价,悲观多粒度上近似与多源信息系统中的弱下近似...

Multi- granulation Rough Set and Rough Set Model in Multi -source Information Systems

Multi-granulation rough set is constructed on the basis of a family of the indiscernibility relations instead of only one indiscernibility relation.Rough set in multi-source information systems is constructed on the basis of a family of the information systems instead of only one information system.It is proved that the optimistic multi-granulation lower approximation is same to the weaker lower approximation in multi-source information systems;the optimistic multi-granulation upper approximation is same to the strong upper approximation in multi-source information systems;the pessimistic multi-granulation lower approximation is same to the strong lower approximation in multi-source information systems;the pessimistic multi-granulation upper approximation is same to the weaker upper approximation in multi-source information systems,from which we can conclude that the rough set in multi-source information systems is one of the forms of the multi-granulation rough set.