基于粗集的区域之间动态拓扑关系的研究

Research on dynamic topological relationship between area and area based Rough set

由于空间数据具有不确定性的和动态性,因而其空间拓扑关系也应是动态变化的,但目前对不确定性空间数据的拓扑关系研究较少,特别是动态的拓扑关系。引入粗集研究空间数据区域之间的动态拓扑关系,研究结果表明,(1)拓扑关系是变化的。可以由相离和相接关系变为相接、相离、相交、覆盖和包含关系;由相交和相等关系可以变为相交、覆盖、相接和包含于关系;由包含于关系与包含关系可以变为覆盖、包含、包含于关系;由覆盖与覆盖于关系变为相交、包含、包含于、覆盖、覆盖于关系。(2)拓扑关系所对应的九交矩阵元素不再是整数1或0,可以是小数。通过实例验证了研究结果的正确性,其研究结果是现有拓扑关系理论的一个重要补充。

Because spatial data is uncertainty and dynamic, the research of topological relationship is dynamic. At present, it is less for the study of topological relations of spatial data uncertainty, especially study for dy- namic topological relationships. The paper adopts Rough set to study dynamic topological relationship between areas. The results show that： （1） topological relationships change. Disjoint and tangent relationships can be turned into disjoint, tangent, intersection, contained and overlapped relationships; intersection and equal rela- tionships can be turned into intersection, overlapped, tangent and contained in relationships; contained and contained in relationships can be turned into overlapped, contained and contained in relationships; overlapped in and overlapped relationships can be turned into intersection, contained, contained in, overlapped and over- lapped in relationships. （2） nine intersection matrix elements corresponding to the topological relationship is no longer an integer of 1 or O, can be a decimal. It proves correctness of the results through the examples. It is a supplement to the existing theory of topological relationship.