空间区域的拓扑关系是GIS中空间要素间最基本也是最重要的关系之一,空间区域被抽象概括为GIS中的空间目标时不可避免地会带有模糊性.为了描述模糊区域间的拓扑关系,在四交差模型基础上,利用Rough集这个强大的数学工具构建了适合于描述确定与模糊区域或两个模糊区域间拓扑空间关系的形式化模型.
The topological relation of special areas is one of the most important aspects in GIS modeling, and the bases of special inquiry and analysis. The description of spatial relation obtains considerable attention in the field of GIS. The present research on spatial objects topological relation model is usually abstracted as crisp objects, and does not consider fuzziness, as the exciting GIS topological relation description model can not do the describing, proceeding and analyzing the spatial data fuzziness. Based on the 4-intersection-difference model, the powerful mathematic tool-rough set is used. An formulization model is put forward to describe the topological relations between the crisp and fuzzy regions.