Linear Fuzzy Collaborative Forecasting Methods

  • Tin-Chih Toly Chen
  • Katsuhiro Honda
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


Linear methods have been widely applied to forecasting. Prevalent linear forecasting methods include moving average, exponential smoothing, linear regression (LR), autoregressive integrated moving average (ARIMA), and others. Fuzzifying the parameters of a linear forecasting method changes it to a linear fuzzy forecasting method.


  1. 1.
    K.B. Song, Y.S. Baek, D.H. Hong, G. Jang, Short-term load forecasting for the holidays using fuzzy linear regression method. IEEE Trans. Power Syst. 20(1), 96–101 (2005)CrossRefGoogle Scholar
  2. 2.
    J. Watada, H. Tanaka, T. Shimomura, Identification of learning curve based on possibilistic concepts. Adv. Human Factors/Ergon. 6, 191–208 (1986)Google Scholar
  3. 3.
    T. Chen, M.J. Wang, A fuzzy set approach for yield learning modeling in wafer manufacturing. IEEE Trans. Semicond. Manuf. 12(2), 252–258 (1999)CrossRefGoogle Scholar
  4. 4.
    F.M. Tseng, G.H. Tzeng, H.C. Yu, B.J. Yuan, Fuzzy ARIMA model for forecasting the foreign exchange market. Fuzzy Sets Syst. 118(1), 9–19 (2001)MathSciNetCrossRefGoogle Scholar
  5. 5.
    T. Chen, Y.C. Wang, An agent-based fuzzy collaborative intelligence approach for precise and accurate semiconductor yield forecasting. IEEE Trans. Fuzzy Syst. 22(1), 201–211 (2014)CrossRefGoogle Scholar
  6. 6.
    H. Tanaka, J. Watada, Possibilistic linear systems and their application to the linear regression model. Fuzzy Sets Syst. 27(3), 275–289 (1988)MathSciNetCrossRefGoogle Scholar
  7. 7.
    G. Peters, Fuzzy linear regression with fuzzy intervals. Fuzzy Sets Syst. 63(1), 45–55 (1994)MathSciNetCrossRefGoogle Scholar
  8. 8.
    S. Donoso, N. Marin, M.A. Vila, Quadratic programming models for fuzzy regression, in Proceedings of International Conference on Mathematical and Statistical Modeling in Honor of Enrique Castillo (2006)Google Scholar
  9. 9.
    T. Chen, Y.C. Lin, A fuzzy-neural system incorporating unequally important expert opinions for semiconductor yield forecasting. Int. J. Uncertainty Fuzziness Knowledge-Based Syst. 16(01), 35–58 (2008)CrossRefGoogle Scholar
  10. 10.
    T. Chen, An innovative fuzzy and artificial neural network approach for forecasting yield under an uncertain learning environment. J. Ambient Intell. Humanized Comput. (2018)Google Scholar
  11. 11.
    J. Nocedal, S. Wright, Numerical Optimization (Springer Science & Business Media, New York, 2006)zbMATHGoogle Scholar
  12. 12.
    I.S. Cheng, Y. Tsujimura, M. Gen, T. Tozawa, An efficient approach for large scale project planning based on fuzzy Delphi method. Fuzzy Sets Syst. 76, 277–288 (1995)CrossRefGoogle Scholar
  13. 13.
    A. Maturo, A.G.S. Ventre, Models for consensus in multiperson decision making, in 2008 Annual Meeting of the North American Fuzzy Information Processing Society (2008), pp. 1–4Google Scholar
  14. 14.
    T. Chen, An online collaborative semiconductor yield forecasting system. Expert Syst. Appl. 36(3), 5830–5843 (2009)CrossRefGoogle Scholar
  15. 15.
    L.I. Kuncheva, R. Krishnapuram, A fuzzy consensus aggregation operator. Fuzzy Sets Syst. 79, 347–356 (1996)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Y.C. Wang, T. Chen, A partial-consensus posterior-aggregation FAHP method—supplier selection problem as an example. Mathematics 7(2), 179 (2019)CrossRefGoogle Scholar
  17. 17.
    T. Chen, A collaborative fuzzy-neural system for global CO2 concentration forecasting. Int. J. Innov. Comput. Inf. Control 8(11), 7679–7696 (2012)Google Scholar
  18. 18.
    X. Liu, Parameterized defuzzification with maximum entropy weighting function—another view of the weighting function expectation method. Math. Comput. Model. 45, 177–188 (2007)MathSciNetCrossRefGoogle Scholar
  19. 19.
    E. Eraslan, The estimation of product standard time by artificial neural networks in the molding industry. Math. Probl. Eng. article ID 527452 (2009)Google Scholar
  20. 20.
    A. Ranganathan, The Levenberg-Marquardt Algorithm (2004). Available:
  21. 21.
    T. Chen, Forecasting the unit cost of a product with some linear fuzzy collaborative forecasting models. Algorithms 5(4), 449–468 (2012)CrossRefGoogle Scholar

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Tin-Chih Toly Chen
    • 1
  • Katsuhiro Honda
    • 2
  1. 1.Department of Industrial Engineering and ManagementNational Chiao Tung UniversityHsinchuTaiwan
  2. 2.Graduate School of EngineeringOsaka Prefecture UniversitySakaiJapan

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