| 变精度粗糙集下的GIS面目标拓扑关系扩展研究 |
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| 引用本文： | 廖伟华.变精度粗糙集下的GIS面目标拓扑关系扩展研究[J].地球信息科学,2010,12(6):806-810. |
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| 作者姓名： | 廖伟华 |
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| 作者单位： | 广西大学数学与信息科学学院, 南宁 530004 |
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| 摘 要： | 空间拓扑关系一直是GIS研究热点。本文在分析了GIS面目标拓扑关系的基础上,引入粗糙集概念。在Pawlak粗糙集中,把RCC模型中面目标看成粗糙集中的等价类划分,不考虑边界的模糊性和边界,RCC模型的关系表达模型不变。而在变精度粗糙集中,由于引入多数包含β因子,除PO(X,Y)和POI(X,Y)外,RCC模型其他关系表达模型也不会变化,并且这些关系属于β=0的特例。在PO(X,Y)模型中由于两个面目标存在公共相交部分,及X∩Y≠φ。因此,当C(X,Y)≤β,即X与Y中的公共元素的数目,大于X中元素数目的50%时,显然可以得到Y?βX。因此,在变精度粗糙集中,我们认为两个面目标PO(X,Y)有两种集合表达形式Y?βX和Y?βX,并由此作出了POI(X,Y)和PO(X,Y)在变精度粗糙集下的面目标相交拓扑关系拓展图。
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| 关 键 词： | 面目标 RCC模型 变精度粗糙集 多数包含 |
| 收稿时间： | 2009-03-17; |
Study on Development of Topological Relations among Area Objects Based on Variable Precision Rough Set in GIS |
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| LIAO WeiHua.Study on Development of Topological Relations among Area Objects Based on Variable Precision Rough Set in GIS[J].Geo-information Science,2010,12(6):806-810. |
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| Authors: | LIAO WeiHua |
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| Institution: | Department Of Mathematics and Infomation,Guangxi University,Nanning 530004,China |
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| Abstract: | Spatial topological relations are the hotspot for GIS studies.We introduced rough set theory on the basis of overall analysis of area object topological relations in this text.We took area object of RCC model as equivalence class of Pawlak rough set,when not considering boundary fuzziness and boundary itself,the expressing model of those relations is identical with RCC model.We introduced β most contain factor in the variable precision rough set,and took X as x,Y as X,then X can be expressed as β lower approximation for Y in TPP（X,Y） and NTPP（X,Y） model without considering boundary fuzziness and boundary itself,and Y can be expressed as β lower approximation for X in TPPI（X,Y） and NTPPI（X,Y） model.X is certainly belong to β lower approximation for Y and Y is certainly belong to β lower approximation for X in EQ（X,Y） model.X is possibly belong to β lower approximation for Y and Y is possibly belong to β lower approximation for X in EC（X,Y） model.X is certainly not belong to β lower approximation for Y and Y is certainly not belong to β lower approximation for X in DC（X,Y） model.and these relations are particular case for β=0 in the variable precision rough set.There are common intersect parts of two area objects in PO（X,Y） model,via X∩Y≠φ,then we can divide two area objects into β coefficient including and β coefficient separation by the proportion of the two area objects.So,when the common elemental constituent of X and Y is greater than 50% of X（C（X,Y）≤β）,We can obviously get conclusion for Y■X.Therefore,we reach a conclusion that the two area objects of PO（X,Y） have two set expressions Y■X and Y■X in the variable precision rough set,and we mapped POI（X,Y） and PO（X,Y） figure of area object intersect relations in the variable precision rough set. |
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| Keywords: | area object RCC model variable precision rough set most contain |
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