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Maximum Possibility Estimation Method with Application in GPS Ambiguity Resolution

  • X. Wang
  • C. Xu
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 132)

Abstract

Based on the fuzzy set and the possibility theory, this paper presents the Maximum Possibility Estimation method. The new estimation method is different from the other ones. The principle of the Maximum Possibility Estimation method, using triangular fuzzy number as a membership function, is given in this paper. Then, the hybrid algorithm is discussed for the resolution of the nonlinear programming model. Finally, an example of GPS ambiguity resolution using Maximum Possibility Estimation is presented. The results indicate that this new estimation method is feasible and useful.

Keywords

Possibility theory fuzzy number ambiguity resolution 

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • X. Wang
    • 1
    • 2
    • 3
  • C. Xu
    • 1
    • 2
    • 3
  1. 1.School of Geodesy & GeomaticsWuhan UniversityWuhan 430079P.R. China
  2. 2.Key Laboratory of Geomatics and Digital Technology of Shandong ProvinceShandong University of Science and TechnologyQingdao 266510P.R. China
  3. 3.Research Center for Hazard Monitoring and Prevention, Wuhan UniversityWuhan 430079P.R. China

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