摘要
拓扑关系是地理信息系统中空间要素之间最基本也是最重要的关系之一,是进行绝大多数空间查询和分析的基础。非模糊空间要素之间的拓扑关系在一般拓扑学等理论的基础上已有相关的模型和描述,并在实践中得到广泛的应用,如何建立模糊空间要素之间的拓扑关系是建立模糊要素地理信息系统的基础。该文在模糊拓扑学的基础上提出了模糊区域的定义,建立了用于分析模糊区域之间拓扑关系的理论和模型,提出了4 4-intersection拓扑关系矩阵,并分析了不同拓扑关系矩阵对于非模糊区域之间、模糊区域之间建立拓扑关系的区别和联系,最后采用不同公式对模糊区域之间的关系进行了系统的描述。
Topological relations are one of the most important aspects in GIS modeling. The topological relations between crisp spatial objects have been well identified. However, the topological relations between fuzzy objects need more investigation. This paper deals with building a special fuzzy topological space for fuzzy sets. Based on it, a formal definition of simple fuzzy regions is given. A 4*4-intersection approach and furthermore a 5*5-intersecion approach are proposed for the formalization of topological relations. Finally 152 topological relations between two simple fuzzy regions are identified based on the 4*4-intersection approach in R2.
出处
《地理与地理信息科学》
CSSCI
CSCD
北大核心
2003年第2期1-10,共10页
Geography and Geo-Information Science
基金
荷兰ITC博士研究项目
863计划(2001AA135150)项目
