一种基于主特征的几何空间模糊推理方法

在几何空间中关于几何体之间不确定关系的推理是空间推理技术的主要研究方向，首先，提出了空间几何体的特征与主特征的概念，并证明了几何体特征之间的关系与几何体之间的基本关系的等价性；其次，引入了相邻、平行、从属、同线、线性等空间关系来描述空间几何体主特征之间的关系，并且将这几种空间关系通过隶属度函数模糊化；最后，基于主特征之间的空间关系，提出了一种进行空间模糊推理的方法，并给出了相应的应用实例，表明了所提出的方法是有效的、可行的。

SPATIAL FUZZY REASONING BASED ON MAIN FEATURE

Nondeterminacy relation's reasoning between geometrical bodies in the geometrical space is the main research direction of spatial reasoning. First, the conceptions of the features and main feature in one geometrical body are given and it is proved that the relations between the features can substitute the classical spatial relations. Second, adjacent relations, parallel relations, substitution relations, common line relations, and linear relations are introduced to describe the relations between the main features. And these relations are fuzzified with membership functions. Finally, a kind of spatial fuzzy reasoning is put forward, and an example is also given, which shows the method is effective.