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Statistical Diagnostic of Center Fuzzy Linear Regression Model Based on Fuzzy Decentring Degree

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Fuzzy Systems & Operations Research and Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 367))

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Abstract

Aimed at the center fuzzy linear regression model with real input and fuzzy output, the model parameter estimation is discussed on data deletion of fuzzy decentring degree. Statistical diagnostic quantity is established to test outliers or strong influential points in the observed data. And the step is given to examine with the statistical diagnostic quantity. At last the example suggests that the method can improve the accuracy of the computational results effectively.

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References

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Acknowledgments

Thanks to the support by National Natural Science Foundation of China (No. 11271096).

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China

    Jia-wei Xu & Ruo-ning Xu

Authors
  1. Jia-wei Xu
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  2. Ruo-ning Xu
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Corresponding author

Correspondence to Ruo-ning Xu .

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Editors and Affiliations

  1. Guangzhou University, Guangzhou, China

    Bing-Yuan Cao

  2. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  3. Higher Education Mega Center, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

  4. Zhuhai Campus, Beijing Normal University, Zhuhai, China

    Hong-Hai Mi

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© 2016 Springer International Publishing Switzerland

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Xu, Jw., Xu, Rn. (2016). Statistical Diagnostic of Center Fuzzy Linear Regression Model Based on Fuzzy Decentring Degree. In: Cao, BY., Liu, ZL., Zhong, YB., Mi, HH. (eds) Fuzzy Systems & Operations Research and Management. Advances in Intelligent Systems and Computing, vol 367. Springer, Cham. https://doi.org/10.1007/978-3-319-19105-8_22

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  • DOI: https://doi.org/10.1007/978-3-319-19105-8_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19104-1

  • Online ISBN: 978-3-319-19105-8

  • eBook Packages: EngineeringEngineering (R0)

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