包磊, 罗兵, 秦小麟. 利用灰集进行空间区域拓扑关系不确定性定量分析[J]. 武汉大学学报 ( 信息科学版), 2011, 36(6): 731-733.
引用本文: 包磊, 罗兵, 秦小麟. 利用灰集进行空间区域拓扑关系不确定性定量分析[J]. 武汉大学学报 ( 信息科学版), 2011, 36(6): 731-733.
BAO Lei, LUO Bing, QIN Xiaolin. A Grey Set Based Quantitative Analysis Model for Indeterminate Topological Relations Between Uncertain Spatial Regions[J]. Geomatics and Information Science of Wuhan University, 2011, 36(6): 731-733.
Citation: BAO Lei, LUO Bing, QIN Xiaolin. A Grey Set Based Quantitative Analysis Model for Indeterminate Topological Relations Between Uncertain Spatial Regions[J]. Geomatics and Information Science of Wuhan University, 2011, 36(6): 731-733.

利用灰集进行空间区域拓扑关系不确定性定量分析

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

  • 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。

     

    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.

     

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