顾及模糊逻辑关系的稳健估计

基金项目: 国家自然科学基金资助项目,编号49574201。

详细信息

Robust Estimation Considering Fuzzy Logical Relationship

School of Geo science and Surveying Engineering, WTUSM, 39 Luoyu Road, Wuhan, China, 430070

摘要: 首先给出了标准化残差受粗差污染的隶属函数,进而导出了观测误差与残差之间的模糊逻辑关系,以及观测误差属于粗差的隶属函数。最后提出了顾及模糊逻辑关系的稳健估计算法。计算结果表明,顾及模糊逻辑关系的稳健估计能有效地抵制粗差的影响,并能正确地定位粗差。
- 粗差 /
- 稳健估计 /
- 模糊集合 /
- 模糊逻辑关系
Abstract: By analyzing concept of blunders, this paper points out that blunders are fuzzy concept. Fuzzy concept can not be simply described by ordinary set. It only can be described by fuzzy set. Therefore, based on the fuzzy logical relationship between observation errors and residuals the membership function of blunders has been presented. At last the algorithm of robust estimation considering fuzzy logical relationship has been designed. It is shown that the robust estimation considering fuzzy logical relationship is more effective to repress the influence of blunders and more correct to locate blunders.
- blunder /
- robust estimation /
- fuzzy set /
- fuzzy logical relationship