利用灰集进行空间区域拓扑关系不确定性定量分析

基金项目: 国家自然科学基金资助项目(69973032)；湖北省自然科学基金资助项目(2006ABA009)；中国博士后基金资助项目

详细信息

A Grey Set Based Quantitative Analysis Model for Indeterminate Topological Relations Between Uncertain Spatial Regions

¹ College of Electronics Engineering,Naval University of Engineering,717 Jiefang Road,Wuhan 430033,China;² Information Science and Technology Institute,Nanjing University of Aeronautics and Astronautics,29 Yudao Street,Nanjing 210016,China

Funds: 国家自然科学基金资助项目(69973032)；湖北省自然科学基金资助项目(2006ABA009)；中国博士后基金资助项目

摘要: 针对不确定性空间区域对象间拓扑关系不确定性的定量分析问题,提出了一种具有双隶属度函数的灰集表示模型,利用双隶属度函数的截集将不确定性空间区域对象转化为确定性区域对,借用相关的不确定性空间拓扑关系定性分析模型,将不确定性空间对象间拓扑关系的不确定性量化为一个可信度区间。
- 地理信息系统 /
- 拓扑分析 /
- 不确定性 /
- 灰集
Abstract: We present a quantitative analysis model for indeterminate topological relations between uncertain spatial regions.Grey set is used to represent uncertain spatial regions,which have a pair of membership function instead a single one to represent the indeterminacy distribution.Using the cut-set operation on the Grey set,uncertain spatial regions can be turned into crisp region pairs.By applying relative qualitative topological analysis model such as the Egg/Yolk model on these crisp region pairs,the indeterminacy of topological relations can be quantified to a probability range.
- GIS /
- topological analysis /
- uncertain /
- grey set