一种改进的群组目标空间方向关系计算模型

An improved computational model on spatial direction between object groups

针对既有群组目标空间方向关系模型无法全面准确描述各种空间方向关系的问题,该文结合模糊数学的思路提出一种新型空间方向关系描述模型。该模型建立了各参考目标与原目标的空间方向关系矩阵,并引入面积权重表征各参考目标对空间方向关系的影响,同时根据最大隶属度原则粗略描述群组目标之间的空间方向关系,较好地顾忌了参考目标大小和形状。算例结果表明,新模型得到的结果更符合人们的方位认知习惯,较好地解决了既有群组目标空间方向关系模型中存在的不足。

Aiming at the problem that the existing computational models of spatial direction between object groups cannot describe all kinds of spatial orientation relationship accurately and comprehensively,a new description model of spatial orientation relationship combining with the idea of fuzzy mathematics was proposed in this paper.In this model,the spatial orientation relation matrix between each reference object and the original object was established,and area weight was introduced to represent the influence of each reference object on the spatial orientation relation.At the same time,the spatial orientation relation among group objects was roughly described according to the principle of maximum membership degree,and the size and shape of the reference object were well considered in this model.The results of numerical examples showed that the new model was more consistent with people’s orientation cognition habits,which could solve the shortcomings of computational models of spatial direction between object groups.