基于模糊集的面目标间拓扑关系描述

The Description of Area Object Topological Relations Based on the Fuzzy Set

空间实体间的拓扑关系是空间中最基本的关系之一,构成了空间推理的基本方面,拓扑关系的研究在空间推理中占有重要的地位,由于地理空间自身的复杂性,使其存在模糊不确定性,而确定性区域中的空间拓扑关系模型却不能直接应用于具有不确定边界区域的地理实体的描述和计算.因此,本论文针对成面状分布的空间区域,运用模糊数学、基础拓扑学等知识,讨论了如何建立模糊地理区域的空间拓扑关系的定性和定量描述模型以及如何借助该模型进行与模糊地理区域相关的空间拓扑关系分析.

Spatial topological relations between spatial object is one of the fundamental relationships in spatial reasoning,Constitute the basic aspects of spatial reasoning,topological relations research in spatial reasoning plays an important role,as a result of geographical space complexity,to the existence of uncertainty,and the uncertainty region of spatial topological relations model can not be directly applied to has to define the boundary of regional geographical entity description and computation.Therefore,in this paper,a distributed area object,using fuzzy mathematics,basic topology knowledge,discusses how to establish the fuzzy area spatial topological relationships between the quantitative description models and how this model and fuzzy geographic areas related to spatial topological relation analysis.