邻域系统层次结构的粗糙集刻画方法研究

摘要

以邻域系统为研究对象,根据邻域系统中邻域与目标之间的包含及相交关系,分析了两种不同类型的邻域系统粗糙集模型.根据这两种邻域系统粗糙集模型,分别提出了邻域系统层次单调变化的2套性质描述,并提出了2种拟序关系用以描述不同邻域系统之间的粗细关系.研究结果证明了这2种拟序关系与邻域系统层次单调变化的2套性质之间的对应关系.%In neighborhood system, by analyzing the inclusion and intersection between neighborhoods and target, two different types of neighborhood system based rough sets were presented, and two sets of properties for describing the monotonic verities of levels of neighborhood systems were proposed immediately. Moreover, two different quasi-orde-rings were also proposed to express the coarser or finer relationships between neighborhood systems. It is proven that there are corresponding relationships between two quasi-ordering and two sets of properties,respectively.