GIS中模糊区域拓扑关系形式化描述  

Description of topological relation within fuzzy region in GIS

作　　者：李大军[1] 刘波[1] 刘学军[2] 郭先春[1] 

机构地区：[1]东华理工学院地球科学与测绘工程学院,江西抚州344000 [2]南京师范大学地理科学学院,南京210097

出　　处：《桂林工学院学报》2006年第4期518-520,共3页Journal of Guilin University of Technology

基　　金：国家自然科学基金资助项目(40571120);东华理工学院硕博启动基金(DHB0401)

摘　　要：空间区域的拓扑关系是G IS中空间要素间最基本也是最重要的关系之一,空间区域被抽象概括为G IS中的空间目标时不可避免地会带有模糊性.为了描述模糊区域间的拓扑关系,在四交差模型基础上,利用Rough集这个强大的数学工具构建了适合于描述确定与模糊区域或两个模糊区域间拓扑空间关系的形式化模型.The topological relation of special areas is one of the most important aspects in GIS modeling, and the bases of special inquiry and analysis. The description of spatial relation obtains considerable attention in the field of GIS. The present research on spatial objects topological relation model is usually abstracted as crisp objects, and does not consider fuzziness, as the exciting GIS topological relation description model can not do the describing, proceeding and analyzing the spatial data fuzziness. Based on the 4-intersection-difference model, the powerful mathematic tool-rough set is used. An formulization model is put forward to describe the topological relations between the crisp and fuzzy regions.

关 键 词：模糊区域 ROUGH集 空间拓扑关系 四交差模型 

分 类 号：P208[天文地球—地图制图学与地理信息工程] O189.11[天文地球—测绘科学与技术]