基于粗集的多尺度空间拓扑关系不确定性定量评价模型  

Quantitative Evaluation Model of the Uncertainty of Multi-scale Space Topological Relations Based on Rough-Set

作　　者：牛继强[1] 徐丰[1] 姚高伟[1] 樊勇[1] 林昊[1] 

机构地区：[1]信阳师范学院地理科学学院

出　　处：《武汉大学学报（信息科学版）》2017年第6期756-761,781,共7页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金(41201387;41001219);河南省高等学校青年骨干教师资助计划(2012-GGJS-127);河南省高等学校重点科研项目(15A170012)~~

摘　　要：空间拓扑关系不确定性的定量评价可为多尺度拓扑关系一致性的自动评价、空间推理与空间查询等应用的可靠性提供依据。定义了基于几何度量的拓扑距离,构建了拓扑关系不确定性的粗集表达模型;提出了不确定性粗集表达中拓扑距离的量化方法;进而提出了基于粗集的多尺度空间拓扑关系不确定性度量指标。实例研究证明了本文提出模型的科学性与合理性,该方法可用于多尺度表达过程中引起的拓扑关系不确定性的定量评价。Quantitative evaluation of the uncertainty in spatial topological relations can provide the reliable basis for applications in automatic evaluation of multi-scale topological relation consistency, spatial reasoning, and spatial queries. A geometric measure-based topological distance was defined. A rough set model for uncertainty in topological relation proposed to explore a quantitative method for determining topological distance. Furthermore, this paper presents the measure index for uncertainty in spatial topological relations of multi-scale spatial entities. A case study shows that the model proposed in this paper is reasonable, and suitable for the quantitative evaluation of topological relations found in multi-scale representation processes.

关 键 词：多尺度表达 拓扑关系 不确定性 粗集 拓扑距离 

分 类 号：P208[天文地球—地图制图学与地理信息工程]