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基于粗集面-线之间的拓扑关系研究

Research on topological relations between area and line based on Rough set
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摘要 为解决不确定性面实体与确定线实体之间的拓扑关系,引用粗集理论和九交模型研究它们之间的拓扑关系,分19种情况与不考虑面实体的不确定性情况下进行对比分析,并用实例进行验证。结果表明,由于考虑了空间数据面实体的不确定性,所得到的拓扑关系更加全面,能充分考虑客观实际情况的变化。本研究成果是对现有拓扑关系理论的完善。 In order to solve topological relations between the uncertainty of area entity and certain line entity,it uses Rough set theory and 9-intersectional model to research topological relations of them.It is divided into the19 cases that are compared with those without considering the uncertainty of area entities,and it is verified with an example.The results show that because of the uncertainty of the area entity,the topological relation is more comprehensive,it can take full account of changes in the objective reality.The research perfects the existing topological relations.
出处 《河南理工大学学报(自然科学版)》 CAS 北大核心 2017年第2期57-62,67,共7页 Journal of Henan Polytechnic University(Natural Science)
基金 国家自然科学基金资助项目(U1304401 41572341 41340034)
关键词 面实体 线实体 粗集 不确定性 九交模型 area entity line entity Rough set uncertainty 9-intersection model
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