中文摘要：

首先分析了建立空间数据多尺度表达中基本空间关系统一表达模型的必要性及建模的基本思想,并用有序6元组作为空间数据多尺度表达中基本空间关系统一表达模型;其次证明拓扑关系表达模型RCC5模型、基于方向Voronoi图（DVDs）的方向群模型和Hausdorff距离的多尺度包容性,并将它们进行形式化表达应用于有序6元组中;最后证明有序6元组的多尺度包容性,并结合具体的实例验证模型的合理性。

英文摘要：

It is necessary to build integrated representation model of spatial relations in multi-scale representation of spatial data. Firstly, the orderly diverse group was used as integrated representation model of spatial relations in multi- scale representation of spatial data. Secondly, the multi-scale inclusiveness of RCC5 model, direction groups model based on direction Voronoi diagram and Hausdorff distance were proved, whose formal representations were applied to orderly diverse group. Then, the multi-scale inclusiveness of orderly diverse group was proved. At the last, two exam- ples were used to illustrate that the model was reasonalble and viable.