一种不确定区域间的方向关系模型

Direction Relations Model between Indeterminate Regions

基于区间值及其运算性质给出了不确定区域间方向关系的表示及推理方法.该方法不同于基于经典模糊集及其截集的方向关系模型,利用区间值方向关系矩阵分析不确定区域间方向关系的隶属程度,将不确定区域间的方向关系划分为不确定区域与不确定区域间的方向关系、不确定区域与分明区域间的方向关系、分明区域与不确定区域间的方向关系、分明区域与分明区域的方向关系4种类型.将分明区域作为不确定区域的特例统一处理.

A new method for expressing and reasoning directional relations between indeterminate spatial regions based on the operation property of interval value is given after analyzing existing models which is differ- ent from the original directional relation models that use traditional fuzzy set and cut-set. The membership grade of direction relations between indeterminate regions is analyzed via interval value direction relation matrix. We divided directional relations between indeterminate regions into four types： directional relations between crisp regions, directional relations between crisp region and indeterminate region, directional relations between indeterminate region and crisp region and directional relations between indeterminate regions. The model can uniformly deal with crisp regions as a specific case of indeterminate regions. It is valuable in the fields such as GIS, spatial reasoning.