Abstract: Rough model is proposed to build vague regions based on rough sets theory after defining rough regions and rough model. Rough regions are classified into three types for study. Based on the studies of neighborhood of RCC-D-8 and the constraints of lower and upper approximate regions, 599 topological relations are obtained between simple vague regions in raster regions and described by the 4×4 intersection and inclusion matrix.

Key words: vague objects, discrete space, rough model, topological relations, RCC-D-8

摘要： 在粗糙集的基本概念上定义了二维离散空间中的粗糙区域和粗糙模型，基于粗糙模型描述了二维离散空间中的模糊地理对象，并给出了粗糙区域的类型。在RCC-D-8的基础上，依据模糊地理对象拓扑关系之间的概念临近及拓扑约束关系，研究得出了二维离散空间中简单模糊地理对象之间的599种全拓扑关系。

关键词: 模糊地理对象, 离散空间, 粗糙模型, 拓扑关系, RCC-D-8