Skip to main content

Fuzzy and Grey Forecasting Techniques and Their Applications in Production Systems

  • Chapter
Production Engineering and Management under Fuzziness

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 252))

Abstract

Forecasting is an important part of decision making as many of our decisions are based on predictions of future unknown events. Forecast is an interesting research topic that has received attention from many researchers in the past several decades. Forecasting has many application areas including but not limited to stock markets, futures markets, enrollments of a school, demand of a product and/or service. Management needs to reduce the risks associated with decision-making, which can be done by anticipating the future more clearly. Accurate forecasts are therefore essential for risk reduction. Forecasting provides critical inputs to various manufacturing-related processes, such as production planning, inventory management, capital budgeting, purchasing, work-force scheduling, resource allocation and other important parts of the production system operation. Accurate forecasts are crucial for successful manufacturing and can lead to considerable savings when implemented efficiently. Forecasting literature contains a large variety of techniques from simple regression to complex metaheuristics such as neural networks and genetic algorithms. Fuzzy set theory is also another useful tool to increase forecast efficiency and effectiveness. This chapter summarizes and classifies forecasting techniques based on crisp logic, fuzzy logic and the grey theory. The chapter also presents numerical examples of fuzzy simple linear regression and grey forecasting methodology.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Abraham, B., Ledolter, J.: Statistical Methods for Forecasting. John Wiley & Sons, Chichester (1983)

    Book  MATH  Google Scholar 

  • Aladag, C.H., Basaran, M.A., Egrioglu, E., Yolcu, U., Uslu, V.R.: Forecasting in high order fuzzy times series by using neural networks to define fuzzy relations. Expert Systems with Applications 36(3-1), 4228–4231 (2009)

    Article  Google Scholar 

  • Albert, W.L., Yao, S.C., Chi, C.K.: An improved Grey-based approach for electricity demand forecasting. Electric Power Systems Research 67, 217–224 (2003)

    Article  Google Scholar 

  • Albertson, K., Aylen, J.: Forecasting the behaviour of manufacturing inventory. International Journal of Forecasting 19(2), 299–311 (2003)

    Article  Google Scholar 

  • Allen, P.G.: Economic forecasting in agriculture. International Journal of Forecasting 10(1), 81–135 (1994)

    Article  Google Scholar 

  • Allison, P.D.: Multiple regression: a primer. Pine Forge Press (1999)

    Google Scholar 

  • Armstrong, J.S.: Principles of forecasting: a handbook for researchers and practitioners. Kluwer Academic Publishers, Dordrecht (2002)

    Google Scholar 

  • Atsalakis, G.S., Valavanis, K.P.: Surveying stock market forecasting techniques – Part II: Soft computing methods. Expert Systems with Applications 36(3-2), 5932–5941 (2009)

    Article  Google Scholar 

  • Bekiros, S.D.: Fuzzy adaptive decision-making for boundedly rational traders in speculative stock markets. European Journal of Operational Research (2009), doi:10.1016/j.ejor.2009.04.015

    Google Scholar 

  • Blumberg, D.F.: Introduction to management of reverse logistics and closed loop supply chain processes. CRC Press, Boca Raton (2004)

    Google Scholar 

  • Box, G.E.P., Jenkins, G.M., Reinsel, G.C.: Time series analysis: forecasting and control. Prentice Hall, NJ (1994)

    MATH  Google Scholar 

  • Buckley, J.J.: Fuzzy statistics. Springer, Berlin (2004)

    MATH  Google Scholar 

  • Chang, N.B., Tseng, C.C.: Optimal evaluation of expansion alternatives for existing air quality monitoring network by grey compromise programming. Journal of Environmental Management 56, 61–77 (1999)

    Article  Google Scholar 

  • Chang, S.C., Lai, H.C., Yu, H.C.: A variable P value rolling Grey forecasting model for Taiwan semiconductor industry production. Technological Forecasting and Social Change 72(5), 623–640 (2005)

    Article  Google Scholar 

  • Chen, S.M., Wang, N.Y., Pan, J.S.: Forecasting enrollments using automatic clustering techniques and fuzzy logical relationships. Expert Systems with Applications 36(8), 11070–11076 (2009)

    Article  Google Scholar 

  • Chu, H.H., Chen, T.L., Cheng, C.H., Huang, C.C.: Fuzzy dual-factor time-series for stock index forecasting. Expert Systems with Applications 36(1), 165–171 (2009)

    Article  Google Scholar 

  • Deng, J.L.: Control problem of grey system. Systems and Control Letters 1, 288–294 (1982)

    Article  MATH  Google Scholar 

  • Deng, J.L.: Introduction to grey systems. Grey Control Systems 1, 1–24 (1989)

    MATH  Google Scholar 

  • Efendigil, T., Önüt, S., Kahraman, C.: A decision support system for demand forecasting with artificial neural networks and neuro-fuzzy models: A comparative analysis. Expert Systems with Applications 36(3-2), 6697–6707 (2009)

    Article  Google Scholar 

  • Egrioglu, E., Aladag, C.H., Yolcu, U., Basaran, M.A., Uslu, V.R.: A new hybrid approach based on SARIMA and partial high order bivariate fuzzy time series forecasting model. Expert Systems with Applications 36(4), 7424–7434 (2009a)

    Article  Google Scholar 

  • Egrioglu, E., Aladag, C.H., Yolcu, U., Uslu, V.R., Basaran, M.A.: A new approach based on artificial neural networks for high order multivariate fuzzy time series. Expert Systems with Applications 36(7), 10589–10594 (2009b)

    Article  Google Scholar 

  • Fung, E.H.K., Cheung, S.M., Leung, T.P.: The implementation of an error forecasting and compensation system for roundness improvement in taper turning. Computers in Industry 35(2), 109–120 (1998)

    Article  Google Scholar 

  • Gardner Jr., E.S., Anderson-Fletcher, E.A., Wicks, A.M.: Further results on focus forecasting vs. exponential smoothing. International Journal of Forecasting 17(2), 287–293 (2001)

    Article  Google Scholar 

  • Guo, X., Sun, L., Li, G., Wang, S.: A hybrid wavelet analysis and support vector machines in forecasting development of manufacturing. Expert Systems with Applications 35(1-2), 415–422 (2008)

    Article  Google Scholar 

  • Hamzaçebi, C., Akay, D., Kutay, F.: Comparison of direct and iterative artificial neural network forecast approaches in multi-periodic time series forecasting. Expert Systems with Applications 36(2-2), 3839–3844 (2009)

    Article  Google Scholar 

  • Hassan, M.R.: A combination of hidden Markov model and fuzzy model for stock market forecasting. Neurocomputing 72(16-18), 3439–3446 (2009)

    Article  Google Scholar 

  • Hong, Y.S.T., White, P.A.: Hydrological modeling using a dynamic neuro-fuzzy system with on-line and local learning algorithm. Advances in Water Resources 32(1), 110–119 (2009)

    Article  Google Scholar 

  • Hsu, C.L., Wen, Y.U.: Improved grey prediction models for trans-pacific air passenger market. Transportation Planning and Technology 22, 87–107 (1998)

    Article  Google Scholar 

  • Hsu, L.C.: The comparison of three residual modification model. Journal of the Chinese Grey System Association 4(2), 97–110 (2001)

    Google Scholar 

  • Hsu, L.C.: Applying the grey prediction model for the global integrated circuit industry. Technological Forecasting and Social Change 70(6), 563–574 (2003)

    Article  Google Scholar 

  • Hsu, L.C.: Forecasting the output of integrated circuit industry using genetic algorithm based multivariable grey optimization models. Expert Systems with Applications 36(4), 7898–7903 (2009)

    Article  Google Scholar 

  • Hsu, L.C., Wang, C.H.: Grey forecasting the financial ratios. The Journal of Grey System 14(4), 399–408 (2002)

    Google Scholar 

  • Hsu, L.C., Wang, C.H.: Forecasting integrated circuit output using multivariate grey model and grey relational analysis. Expert Systems with Applications 36(2-1), 1403–1409 (2009)

    Article  Google Scholar 

  • Hsu, P.H., Wang, C.H., Shyu, J.Z., Yu, H.C.: A Litterman BVAR approach for production forecasting of technology industries. Technological Forecasting and Social Change 70(1), 67–82 (2002)

    Article  Google Scholar 

  • Hylleberg, S.: Modelling seasonality. Oxford University Press, Oxford (1992)

    Google Scholar 

  • Jia, Z.Y., Ma, J.W., Wang, F.J., Liu, W.: Characteristics forecasting of hydraulic valve based on grey correlation and ANFIS. Expert Systems with Applications (2009), doi:10.1016/j.eswa.2009.06.003

    Google Scholar 

  • Khashei, M., Bijari, M., Ardali, G.A.R.: Improvement of auto-regressive integrated moving average models using fuzzy logic and artificial neural networks (ANNs). Neurocomputing 72(4-6), 956–967 (2009)

    Article  Google Scholar 

  • Khemchandani, R., Jayadeva Chandra, S.: Regularized least squares fuzzy support vector regression for financial time series forecasting. Expert Systems with Applications 36(1), 132–138 (2009)

    Article  Google Scholar 

  • Kuo, I.H., Horng, S.J., Kao Chen, Y.H., Run, R.S., Kao, T.W., Chen, R.J., Lai, J.L., Lin, T.L.: Forecasting TAIFEX based on fuzzy time series and particle swarm optimization. Expert Systems with Applications (2009), doi:10.1016/j.eswa.2009.06.102

    Google Scholar 

  • Kuo, I.H., Horng, S.J., Kao, T.W., Lin, T.L., Lee, C.L., Pan, Y.: An improved method for forecasting enrollments based on fuzzy time series and particle swarm optimization. Expert Systems with Applications 36(3-2), 6108–6117 (2009b)

    Article  Google Scholar 

  • Lai, R.K., Fan, C.Y., Huang, W.H., Chang, P.C.: Evolving and clustering fuzzy decision tree for financial time series data forecasting. Expert Systems with Applications 36, 3761–3773 (2009)

    Article  Google Scholar 

  • Li, D.C., Yeh, C.W., Chang, C.J.: An improved grey-based approach for early manufacturing data forecasting. Computers & Industrial Engineering (2009), doi:10.1016/j.cie.2009.05.005

    Google Scholar 

  • Lin, C.T., Yang, S.Y.: Forecast of the output value of Taiwan’s opto-electronics industry using the Grey forecasting model. Technological Forecasting & Social Change 70, 177–186 (2003)

    Article  Google Scholar 

  • Lin, Y.H., Lee, P.C., Chang, T.P.: Adaptive and high-precision grey forecasting model. Expert Systems with Applications 36(6), 9658–9662 (2009)

    Article  Google Scholar 

  • Liu, H.: An integrated fuzzy time series forecasting system. Expert Systems with Applications 36(6), 10045–10053 (2009)

    Article  Google Scholar 

  • Lu, J., Wang, R.: An enhanced fuzzy linear regression model with more flexible spreads. Fuzzy Sets and Systems 160(17), 2505–2523 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  • Mady, M.T.: Sales forecasting practices of Egyptian public enterprises: survey evidence. International Journal of Forecasting 16(3), 359–368 (2000)

    Article  Google Scholar 

  • Mamlook, R., Badran, O., Abdulhadi, E.: A fuzzy inference model for short-term load forecasting. Energy Policy 137(4), 1239–1248 (2009)

    Article  Google Scholar 

  • Mohr, S.H., Evans, G.M.: Forecasting coal production until 2100. Fuel (2009), doi:10.1016/j.fuel.2009.01.032

    Google Scholar 

  • Montgomery, D.C., Runger, G.C.: Applied statistics and probability for engineers. John Wiley and Sons, Chichester (2006)

    Google Scholar 

  • Myatt, G.J.: Making sense of data: a practical guide to exploratory data analysis and data mining. John Wiley and Sons, Chichester (2006)

    Google Scholar 

  • Ragulskis, M., Lukoseviciute, K.: Non-uniform attractor embedding for time series forecasting by fuzzy inference systems. Neurocomputing 72(10-12), 2618–2626 (2009)

    Article  Google Scholar 

  • Song, Q., Chissom, B.S.: Forecasting enrollments with fuzzy time series, Part I. Fuzzy Sets and Systems 54, 1–9 (1993a)

    Article  MathSciNet  Google Scholar 

  • Song, Q., Chissom, B.S.: Forecasting enrollments with fuzzy time series, Part II. Fuzzy Sets and Systems 62, 1–8 (1994)

    Article  Google Scholar 

  • Song, Q., Chissom, B.S.: Fuzzy time series and its models. Fuzzy Sets and Systems 54, 269–277 (1993b)

    Article  MATH  MathSciNet  Google Scholar 

  • Thury, G., Witt, S.F.: Forecasting industrial production using structural time series models. Omega 26(6), 751–767 (1998)

    Article  Google Scholar 

  • Valckenaers, P., Germain, B.S., Verstraete, P., Brussel, H.V.: Emergent short-term forecasting through ant colony engineering in coordination and control systems. Advanced Engineering Informatics 20(3), 261–278 (2006)

    Article  Google Scholar 

  • Vollmann, T.E.: Manufacturing planning and control systems for supply chain management. McGraw-Hill, New York (2004)

    Google Scholar 

  • Wen, J.C., Huang, K.H., Wen, K.L.: The study of a in GM (1,1) model. Journal of the Chinese Institute of Engineers 23(5), 583–589 (2000)

    Google Scholar 

  • Xiao, Z., Ye, S., Zhong, B., Sun, C.: BP neural network with rough set for short term load forecasting. Expert Systems with Applications 36(1), 273–279 (2009)

    Article  Google Scholar 

  • Xie, N., Liu, S.: Discrete grey forecasting model and its optimization. Applied Mathematical Modelling 33(2), 1173–1186 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  • Yolcu, U., Egrioglu, E., Uslu, V.R., Basaran, M.A., Aladag, C.H.: A new approach for determining the length of intervals for fuzzy time series. Applied Soft Computing 9(2), 647–651 (2009)

    Article  Google Scholar 

  • Yo-Ping, H., Chih-Hsin, H.: Real-valued genetic algorithms for fuzzy grey prediction system. Fuzzy Sets and Systems 87, 265–276 (1997)

    Article  Google Scholar 

  • Zadeh, L.: Fuzzy sets. Information and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  • Zhou, P., Ang, B.W., Poh, K.L.: A trigonometric grey prediction approach to forecasting electricity demand. Energy 31, 2839–2847 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kahraman, C., Yavuz, M., Kaya, İ. (2010). Fuzzy and Grey Forecasting Techniques and Their Applications in Production Systems. In: Kahraman, C., Yavuz, M. (eds) Production Engineering and Management under Fuzziness. Studies in Fuzziness and Soft Computing, vol 252. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12052-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-12052-7_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12051-0

  • Online ISBN: 978-3-642-12052-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics