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Improved IGGIII Robust Method with Membership Function for Crustal Movement Velocity Field Fitting and Analysis
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Haifang JIAN1, Yuyan SHI1, Xinqiang LEI1, Yixu LI2, Jun ZHANG1, *
Journal of Geodesy and Geodynamics | 2025, 45(5) : 545 - 550
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Journal of Geodesy and Geodynamics | 2025, 45(5): 545-550
Improved IGGIII Robust Method with Membership Function for Crustal Movement Velocity Field Fitting and Analysis
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Haifang JIAN1, Yuyan SHI1, Xinqiang LEI1, Yixu LI2, Jun ZHANG1, *
Affiliations
  • 1 College of Mining, Guizhou University, 2708 South Segment of Huaxi Road, Guiyang 550025, China
  • 2 College of Agriculture, Guizhou University, 2708 South Segment of Huaxi Road, Guiyang 550025, China

    • JIAN Haifang, postgraduate, majors in plate movement and crust deformation, E-mail:

About Author:

JIAN Haifang, postgraduate, majors in plate movement and crust deformation, E-mail:

Published: 2025-05-15 doi: 10.14075/j.jgg.2024.06.286
Outline
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To address the challenges of traditional hard-threshold methods in dealing with ambiguous boundaries when processing abnormal stations, this paper proposes a new method that treats station anomalies caused by tectonic movements and observational errors as gross errors and uses a membership function to construct an IGGIII equivalent weight function to mitigate the impact of abnormal stations. The new method incorporates fuzzy set theory and is an improved IGGIII robust estimation method based on the membership function of the fuzzy subset to which standardized residuals belong to gross errors(membership function IGGIII, MF-IGGIII). Firstly, the membership function of the fuzzy subset most affected by gross errors in standardized residuals is determined through fuzzy statistics; then, an equivalent weight function is constructed based on these membership function values, and a weight iteration process is performed. Simulation experiments and the fitting analysis of the GNSS velocity field in the Bohai rim area show that this method outperforms hypothesis testing, mean shift methods, and the IGGIII method in abnormal station detection, demonstrating strong capability in identifying abnormal stations.

crustal deformation analysis  /  membership function  /  MF-IGGIII  /  equivalent weight function  /  abnormal station
简海方, 石雨燕, 雷新强, 李屹旭, 张俊. 用于地壳运动速度场拟合分析的隶属度函数改进IGGIII抗差方法. 大地测量与地球动力学, 2025 , 45 (5) : 545 -550 . DOI: 10.14075/j.jgg.2024.06.286
Haifang JIAN, Yuyan SHI, Xinqiang LEI, Yixu LI, Jun ZHANG. Improved IGGIII Robust Method with Membership Function for Crustal Movement Velocity Field Fitting and Analysis[J]. Journal of Geodesy and Geodynamics, 2025 , 45 (5) : 545 -550 . DOI: 10.14075/j.jgg.2024.06.286
Funding
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  • Basic Research Project of Science and Technology of Guizhou Province(黔科合基础[2017]1054)
  • Science and Technology Support Program ofthe Department of Science and Technology of Guizhou Province(黔科合支撑[2022]一般204)
Appendix
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Year 2025 volume 45 Issue 5
36
15
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Article Info
doi: 10.14075/j.jgg.2024.06.286
  • Receive Date：2024-06-17
  • Online Date：2026-10-30
  • Published：2025-05-15
Article Data
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History
  • Received：2024-06-17
Funding
Basic Research Project of Science and Technology of Guizhou Province(黔科合基础[2017]1054)
Science and Technology Support Program ofthe Department of Science and Technology of Guizhou Province(黔科合支撑[2022]一般204)
Affiliations
    1 College of Mining, Guizhou University, 2708 South Segment of Huaxi Road, Guiyang 550025, China
    2 College of Agriculture, Guizhou University, 2708 South Segment of Huaxi Road, Guiyang 550025, China
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https://castjournals.cast.org.cn/joweb/ddcl/EN/10.14075/j.jgg.2024.06.286
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栓菌属 Trametes 5 2.39
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