基于粗集的多尺度空间拓扑关系不确定性定量评价模型 |
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引用本文: | 牛继强,徐丰,姚高伟,樊勇,林昊.基于粗集的多尺度空间拓扑关系不确定性定量评价模型[J].武汉大学学报(信息科学版),2017,42(6):756. |
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作者姓名: | 牛继强 徐丰 姚高伟 樊勇 林昊 |
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作者单位: | 1.信阳师范学院地理科学学院, 河南 信阳, 464000 |
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基金项目: | 国家自然科学基金41201387国家自然科学基金41001219河南省高等学校青-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 |
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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。
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关 键 词: | 多尺度表达 拓扑关系 不确定性 粗集 拓扑距离 |
收稿时间: | 2015-07-21 |
Quantitative Evaluation Model of the Uncertainty of Multi-scale Space Topological Relations Based on Rough-Set |
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Institution: | 1.School of Geographic Science, Xinyang Normal University, Xinyang 464000, China |
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Abstract: | 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. |
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