一种简单模糊区域二元拓扑关系定性算法

A Qualitative Algorithm of Binary Topological Relation for Simple Fuzzy Regions

利用α截集刚性区域之间的拓扑关系模糊化原理,提出了一种简单模糊区域的拓扑关系算法.该算法消除了Zhan提出的算法中的拓扑关系表达的不合理性和不一致性.具有计算方便准确、逻辑清晰、含义明确且易于与已有的空间查询语言相结合等特点,能够很好地定性描述简单模糊区域间的二元拓扑关系.

Concerning fuzzed topological relations among crisp regions of α-Cut Set,the paper put forward a new algorithm to calculate the topological relations of simple fuzzy objects.The algorithm overcomes some shortcomings of Zhan＇s counterpart,such as some illogical and inconsistent properties of its expression for topological relations.The algorithm proposed here is precise and easy to be put into practice,it also has some good advantages such as its obvious logical meaning and easy to be combined with some existing spatial query languages etc.It is well performed to qualitatively describe the binary topological relations of simple fuzzy regions.