中文摘要：

利用RoughSet理论，在四交差模型的基础上，提出适合于描述确定和模糊区域或两个模糊区域目标间拓扑空间关系的扩展模型（4-4ID模型），并且详细讨论模糊对象之间的拓扑关系。

英文摘要：

The topological relationship of spatial object is one of the most important aspects in GIS modeling, and it is the basis of spatial inquiry and analysis. The description of spatial relationships has been taken considerable attention in the field of GIS. At present, the research of spatial objects topological relation model was usually abstracted as crisp objects. But, there is fuzziness in special data inevitably when abstracted and generalized into objects in GIS, thus the description of fuzzy objects spatial relationships is also a research focus. In order to describe topological relations between fuzzy objects, the fifth reference literature has put forward an extended 9-intersection model, but it had some disadvantages. Aimed at these disadvantages, rough set theory is used in this paper based on the 4-Intersection-Difference model, a model which can describe the spatial topological relations of certainty and uncertainty region was put forward, and the topological relations of fuzzy objects were discussed.