基于SPA的不完备信息系统的双向S-粗集模型

Two Direction S-Rough Sets of Incomplete Information System Based on SPA

利用集对分析(SPA)理论,定义不完备信息系统的同异反联系度及集对α相似关系,描述了不完备信息系统中元素迁移奇异集合的上下近似,给出其双向S-粗集模型和数学结构,并通过实例说明不完备信息系统的双向S-粗集存在的背景与实际意义。不完备信息系统的双向S-粗集是对其理论的完善和发展,是双向S-粗集的一般形式,为不完备信息系统的动态近似规则的提取和分析研究其动态近似特性奠定了理论基础。

Using the set pair analysis （SPA） theory, the connection degree of identical-different-oppose and the set pair α similar relation are defined in incomplete information system. The upper approximation and the lower approximation of element transfer set are described, the two directions S-rough sets model, its mathematics structures are put forward in an incomplete information system. It gives an example to show the existing background and meaning of the two directions S-rough sets in an incomplete information system. Two directions S-rough sets in an incomplete information system is perfect to the two direction S-rough sets, it is the common form of the two direction S-rough sets, it establishes the theory foundation for picking-up the dynamic approximate rule and analysing the dynamic approximate feature in incomplete information system.