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Using Fourier Series to Improve the Discrete Grey Model (1, 1)

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Advances in Computational Collective Intelligence (ICCCI 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1287))

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Abstract

Discrete grey model (1, 1) (abbreviates as DGM (1, 1)), is a version of grey forecasting model. Since appeared, its has been attracted by many scientists in dealing with the problem related to uncertainly information and small sample data. In recent years, this model has been improved the accuracy in forecast by scientifics. However, the existing DGM (1, 1) model cannot be used in some special scenarios such as the significant fluctuation or noise in data. Solving this issue, this paper propose a novel grey forecasting model named as Fourier Discrete Grey Model (1, 1) (abbreviated as F-DGM (1, 1)). This model was built by combined the Fourier series and DGM (1, 1) model. Through the example in Xie and Liu’s paper (Xie and Liu [28]) and practical application, these simulation outcomes demonstrated that the F-DGM (1, 1) model provided remarkable prediction performance compared with the other grey forecasting models. Future direction, the authors will use different equations or different methodologies to improve the DGM (1, 1) model. The other direction is applied the proposed model for dealing with the highly fluctuation data in different industries.

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Author information

Authors and Affiliations

  1. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Van-Thanh Phan

  2. Quang Binh University, 312 Ly Thuong Kiet Street, Dong Hoi, Quang Binh, Vietnam

    Van-Thanh Phan

  3. Wroclaw University of Science and Technology, 27 Wybrzeże Wyspiańskiego Street, 50-370, Wrocław, Poland

    Zbigniew Malara

  4. Faculty of Economics, Tay Nguyen University, 567 Le Duan Street, Buon Ma Thuot City, DakLak, Vietnam

    Ngoc Thang Nguyen

Authors
  1. Van-Thanh Phan
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  2. Zbigniew Malara
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  3. Ngoc Thang Nguyen
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Corresponding authors

Correspondence to Van-Thanh Phan , Zbigniew Malara or Ngoc Thang Nguyen .

Editor information

Editors and Affiliations

  1. Wroclaw University of Economics and Business, Wrocław, Poland

    Marcin Hernes

  2. Wrocław University of Science and Technology, Wrocław, Poland

    Krystian Wojtkiewicz

  3. University of Newcastle, Newcastle, Australia

    Edward Szczerbicki

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Phan, VT., Malara, Z., Nguyen, N.T. (2020). Using Fourier Series to Improve the Discrete Grey Model (1, 1). In: Hernes, M., Wojtkiewicz, K., Szczerbicki, E. (eds) Advances in Computational Collective Intelligence. ICCCI 2020. Communications in Computer and Information Science, vol 1287. Springer, Cham. https://doi.org/10.1007/978-3-030-63119-2_9

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  • DOI: https://doi.org/10.1007/978-3-030-63119-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-63118-5

  • Online ISBN: 978-3-030-63119-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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