模糊地理实体不确定性综合描述研究

¹中国科学院研究生院,北京市玉泉路甲19号1000491;²中国科学院遥感应用研究所,北京市朝阳区大屯路9718信箱,100101;³中国科学院遥感应用研究所,北京市朝阳区大屯路9718信箱100101

基金项目: 国家科技支撑计划资助项目(2008BAK50B01)；中国博士后科学基金资助项目(20080430586)

详细信息

Investigation of Uncertainty Integrative Description on Fuzzy Geographical Object

¹Graduate University of the Chinese Academy of Sciences,A19 Yuquan Road,Bijing 100049,China;²Institute of Remote Sensing Applications,Chinese Academy of Sciences,Box.9718,Datun Road,Beijing 100101,China

Funds: 国家科技支撑计划资助项目(2008BAK50B01)；中国博士后科学基金资助项目(20080430586)

摘要: 从二型模糊的角度讨论了模糊地理实体的不确定性,基于空间数据的位置误差,利用模糊集的λ-截集和圆误差带模型推导了模糊地理实体隶属度的误差模型,并给出了隶属度不确定性的度量方法,提出了用隶属度误差立方体来综合描述模糊点的不确定性。
- 模糊地理实体 /
- 二型模糊集 /
- 圆误差带 /
- 隶属度误差立方体
Abstract: The random uncertainty and fuzziness uncertainty exist in spatial data at the same time.Ant that it is not suitable for using hybrid entropy to deal with the uncertainty of some geographical objects which contain random uncertainty and fuzziness uncertainty.The uncertainty of fuzzy geographical object was discussed by using type-2 fuzzy theory.The error model of membership of vague geographical object was built by using λ-cut of fuzzy set and error band of circle based on positional erros.The measure method of the error of membership was analyzed,Finally,the membership grade error cube was proposed to synthetically describe the uncertainty of fuzzy point.
- fuzzy geometry /
- type-2 fuzzy sets /
- circle error band /
- membership grade error cube