邻域系统层次结构的粗糙集刻画方法研究  

Characterizing Hierarchies of Neighborhood Systems via Rough Sets Approach

作　　者：周君仪[1] 杨习贝[2,3] 杨静宇[3] 

机构地区：[1]江苏科技大学经济管理学院,镇江212003 [2]江苏科技大学计算机科学与工程学院,镇江212003 [3]南京理工大学计算机科学与技术学院,南京210094

出　　处：《计算机科学》2012年第10期227-230,共4页Computer Science

基　　金：国家自然科学基金(61100116);江苏省自然科学基金(BK2011492);江苏省高校自然科学基金(11KJB520004);中国博士后科学基金(20100481149);江苏省博士后科学基金(1101137C)资助

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.

关 键 词：邻域系统 粗糙集 邻域 拟序关系 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]