Representaion of Topological Relations between Vague Objects Based on Rough and RCC Model

Acta Scientiarum Naturalium Universitatis Pekinensis

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Representaion of Topological Relations between Vague Objects Based on Rough and RCC Model

GAO Zhenji^1,2，3 WU Lun^4， YANG Jian²

¹School of Earth and Space Sciences, Peking University, Beijing 100871; ²The Key Laboratory for Environmental and Urban Sciences，Shenzhen Graduate School,Peking University,Shenzhen 518055;³Chinese Research Academy of Environmental Sciences, Beijing 100012; ⁴Institute of Remote Sensing and Geographical Information System, Peking University, Beijing 100871；

Received:2007-06-20 Online:2008-07-20 Published:2008-07-20

基于RCC及粗糙模型的模糊地理对象拓扑关系表达

高振记^1,2,3,邬伦⁴,杨俭²

¹北京大学地球与空间科学学院，北京100871；²北京大学深圳研究生院，城市人居环境科学与技术重点实验室，深圳518055；³中国环境科学研究院，北京100012；⁴北京大学遥感与地理信息系统研究所，北京100871；

Abstract

Abstract: Rough model is proposed to build vague regions based on rough sets theory after defining rough regions and rough model. Rough regions are classified into three types for study. Based on the studies of neighborhood of RCC-D-8 and the constraints of lower and upper approximate regions, 599 topological relations are obtained between simple vague regions in raster regions and described by the 4×4 intersection and inclusion matrix.

Key words: vague objects, discrete space, rough model, topological relations, RCC-D-8

摘要： 在粗糙集的基本概念上定义了二维离散空间中的粗糙区域和粗糙模型，基于粗糙模型描述了二维离散空间中的模糊地理对象，并给出了粗糙区域的类型。在RCC-D-8的基础上，依据模糊地理对象拓扑关系之间的概念临近及拓扑约束关系，研究得出了二维离散空间中简单模糊地理对象之间的599种全拓扑关系。

关键词: 模糊地理对象, 离散空间, 粗糙模型, 拓扑关系, RCC-D-8

CLC Number:

GAO Zhenji,WU Lun,YANG Jian. Representaion of Topological Relations between Vague Objects Based on Rough and RCC Model[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

高振记,邬伦,杨俭. 基于RCC及粗糙模型的模糊地理对象拓扑关系表达[J]. 北京大学学报（自然科学版）.

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https://xbna.pku.edu.cn/EN/Y2008/V44/I4/597

[1]	GUO Luo,DU Shihong,WANG Qiao. Deriving Topological Relations between Uncertain Regions from Direction Relations [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2009, 45(2): 339-349.
[2]	DU Shihong,QIN Qiming,WANG Qiao,GUO Luo. The Computation of Topological Relations among Composite Regions with Broad Boundaries Based on Relation Matrix [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2008, 44(1): 142-148.

Representaion of Topological Relations between Vague Objects Based on Rough and RCC Model

基于RCC及粗糙模型的模糊地理对象拓扑关系表达

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