徐丰, 牛继强, 李卓凡. 基于粗集的多粒度空间方向关系不确定性定量评价模型[J]. 武汉大学学报 ( 信息科学版), 2015, 40(7): 971-976. DOI: 10.13203/j.whugis20130126
引用本文: 徐丰, 牛继强, 李卓凡. 基于粗集的多粒度空间方向关系不确定性定量评价模型[J]. 武汉大学学报 ( 信息科学版), 2015, 40(7): 971-976. DOI: 10.13203/j.whugis20130126
XU Feng, NIU Jiqiang, LI Zhuofan. Quantitative Evaluation Model of the Uncertainty of Multi-granularity Space Direction Relations Based on Rough-Set[J]. Geomatics and Information Science of Wuhan University, 2015, 40(7): 971-976. DOI: 10.13203/j.whugis20130126
Citation: XU Feng, NIU Jiqiang, LI Zhuofan. Quantitative Evaluation Model of the Uncertainty of Multi-granularity Space Direction Relations Based on Rough-Set[J]. Geomatics and Information Science of Wuhan University, 2015, 40(7): 971-976. DOI: 10.13203/j.whugis20130126

基于粗集的多粒度空间方向关系不确定性定量评价模型

Quantitative Evaluation Model of the Uncertainty of Multi-granularity Space Direction Relations Based on Rough-Set

  • 摘要: 针对确定性地理目标位置不确定性和方向系统划分粒度粗细产生的空间方向关系的不确定性问题,提出了锥形模型空间方向关系的粗集表达模型,然后定义了知识含量的测度(I(Rn))用于度量锥形模型粗集表达的方向分类能力,在近似精度和粗糙度中引入I(Rn)因子,构建了基于知识含量的近似精度和粗糙度,用于确定性地理目标位置不确定性及方向系统划分粒度引起的方向关系不确定性的定量评价。实验表明,基于知识含量的近似精度和粗糙度,是定量评价由于确定性地理目标位置不确定性及方向系统划分粒度引起的方向关系不确定性的理想指标。

     

    Abstract: There are uncertainty issues of spatial directional relations, which are generated by the positional uncertainty of deterministic geographical target and the granularity of directional system. Firstly, the rough-set representation model of spatial directional relations was proposed in cone-shaped model. Secondly, knowledge capacity measure (I(Rn)) was defined to measure the classifying ability of direction on rough-set representation of cone-shaped model. Finally, introducing I(Rn) factor to the accuracy and roughness, the accuracy and roughness based on knowledge capacity were constructed to assess quantitative uncertainty of spatial directional relations caused by the positional uncertainty of deterministic geographical target and the granularity of directional system. Experiments showed that the accuracy and roughness based on knowledge capacity are efficient as quantitative evaluation index of the uncertainty for spatial directional relations arising from the positional uncertainty of deterministic geographical target and the granularity of directional system.
     

     

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