基于二元关系的GIS实体拓扑关系的粗糙表达

利用二元关系和粗糙集的一些性质来研究GIS实体之间关系,发现在基于二元关系的广义近似空间下GIS实体的前继领域、后继领域算子、上、下继领域包含了比它自身更广的一个集合定义。同样基于粗糙集,我们发现二元关系GIS实体的上、下近似比Pawlark粗糙集的定义更广泛。在二元关系的广义近似空间下,一个GIS单点集的上近似等于它的前继领域,同样等于它后继领域的逆。

Rough Expression for Topological Relation of GIS Entity Based on Binary Relation

We used some characteristic of binary relation and rough set to study the relations for GIS entities,and we discovered that the front,behind,upper and lower neighborhood relation of GIS entity had even more extensive sets than itself based on binary relation’s generalized approximation space.We also discovered that the upper and lower approximation of GIS entity for binary relation was more extensive than Pawlark rough set.We discovered that the upper approximation for a single-point set of one GIS entity was equal to it’s front neighborhood and was equal to it’s behind neighborhood relation’s inversion too.