Skip to main content

Fuzzy Cognitive Maps and Multi-step Gradient Methods for Prediction: Applications to Electricity Consumption and Stock Exchange Returns

  • Conference paper
  • First Online:
Intelligent Decision Technologies (IDT 2017)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 39))

Included in the following conference series:

Abstract

The paper focuses on the application of fuzzy cognitive map (FCM) with multi-step learning algorithms based on gradient method and Markov model of gradient for prediction tasks. Two datasets were selected for the implementation of the algorithms: real data of household electricity consumption and stock exchange returns that include Istanbul Stock Exchange returns. These data were used in learning and testing processes of the proposed FCM approaches. A comparative analysis of the two-step method of Markov model of gradient, multi-step gradient method and one-step gradient method is performed in order to show the capabilities and effectiveness of each method and conclusions are based on the obtained MSE, RMSE, MAE and MAPE errors.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

References

  1. Akbilgic, O., Bozdogan, H., Balaban, M.E.: A novel Hybrid RBF Neural Networks model as a forecaster. Stat.Comput. 24, 365–375 (2013). doi:10.1007/s11222-013-9375-7

  2. Akbilgic, O.: Hibrit Radyal Tabanlś Fonksiyon Alarś ile Deiken Seimi ve Tahminleme: Menkul Kśymet Yatśrśm Kararlarśna likin Bir Uygulama. Istanbul University,Turkey (2011)

    Google Scholar 

  3. Froelich, W., Salmeron, J.: Evolutionary learning of fuzzy grey cognitive maps for the forecasting of multivariate, interval-valued time series. Int. J. Approximate Reasoning 55, 1319–1335 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  4. Froelich, W., Wakulicz-Deja, A.: Learning fuzzy cognitive maps from the web for stock market decision support system. In: Węgrzyn-Wolska, K.M., Szczepaniak, P.S. (eds.) Advance Intelligence Web, ASC 43, pp. 106–111. Springer-Varlag, Heidelberg (2007)

    Google Scholar 

  5. Hébrail G., Bérard A.: UCI machine learning repository, EDF R&D, Clamart, France. http://archive.ics.uci.edu/ml (2012)

  6. Homenda, W., Jastrzębska, A., Pedrycz, W.: Modeling time series with fuzzy cognitive maps. In: 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 2055–2062, Beijing, China, 6–11 July 2014

    Google Scholar 

  7. Homenda, W., Jastrzębska, A., Pedrycz, W.: Nodes selection criteria for fuzzy cognitive maps designed to model time series. Adv. Intell. Syst. Comput. 323, 859–870 (2015)

    Google Scholar 

  8. Homenda, W., Jastrzębska, A., Pedrycz, W.: Time series modeling with fuzzy cognitive maps: Simplification strategies. The Case of a Posteriori Removal of Nodes and Weights. LNCS 8838, pp. 409–420 (2014)

    Google Scholar 

  9. Kosko, B.: Fuzzy cognitive maps. Int. J. Man-Mach. Stud. 24, 65–75 (1986)

    Article  MATH  Google Scholar 

  10. Lu, W., Pedrycz, W., Liu, X., Yang, J., Li, P.: The modeling of time series based on fuzzy information granules. Expert Syst. Appl. 41, 3799–3808 (2014)

    Article  Google Scholar 

  11. Papageorgiou, E.I., Froelich, W.: Application of evolutionary fuzzy cognitive maps for prediction of pulmonary infections. IEEE Trans. Inf. Technol. Biomed. 16(1), 143–149 (2011)

    Article  Google Scholar 

  12. Papageorgiou, E.I., Froelich, W.: Multi-step prediction of pulmonary infection with the use of evolutionary fuzzy cognitive maps. Neurocomputing 92, 28–35 (2012)

    Article  Google Scholar 

  13. Papageorgiou, E.I., Salmeron, J.L.: Learning fuzzy grey cognitive maps using nonlinear hebbian-based approach. Int. J. Approximate Reasoning 53, 54–65 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  14. Piotrowska, K. (Poczęta, K.): Intelligent expert system based on cognitive maps. Studia Informatica 33(2A 105), 605–616 (2012) (in Polish)

    Google Scholar 

  15. Poczęta K., Yastrebov, A.: analysis of fuzzy cognitive maps with multi-step learning algorithms in valuation of owner-occupied homes. In: 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 1029–1035. Beijing, China (2014)

    Google Scholar 

  16. Salmeron, J.L.: Augmented fuzzy cognitive maps for modelling LMS critical success factors. Knowl.-Based Syst. 22(4), 275–278 (2009)

    Article  MathSciNet  Google Scholar 

  17. Salmeron, J.L.: Modelling grey uncertainty with fuzzy cognitive maps. Expert Syst. Appl. 37, 7581–7588 (2010)

    Article  Google Scholar 

  18. Shilman, S.V., Yastrebov, A.I.: Convergence analysis of some class of multi-step stochastic optimization algorithms. Autom. Telemechanics 8, (1976) (in Russian)

    Google Scholar 

  19. Słoń, G.: The use of fuzzy numbers in the process of designing relational fuzzy cognitive maps. Lecture Notes in Artificial Intelligence LNAI 7894/Part1, pp. 376–387. Springer-Verlag (2013)

    Google Scholar 

  20. Yastrebov, A., Piotrowska, K., Poczęta, K.: Simulation analysis of multistep algorithms of relational cognitive maps learning. In: Yastrebov, A., Kuźmińska-Sołśnia, B., Raczyńska, M. (eds.) Computer Technologies in Science, Technology and Education, pp. 126–137. Institute for Sustainable Technologies, National Research Institute, Radom (2012)

    Google Scholar 

  21. Yastrebov, A., Poczęta, K.: Application of fuzzy cognitive map with two-step learning algorithm based on Markov model of gradient for time series prediction. Logistyka 6/2014 (2014) (in Polish)

    Google Scholar 

  22. Laspidou C., Kalliantopoulos, V.C.: Design and technoeconomic analysis of a photovoltaic system installed on a house in Xanthi, Greece. Fresen. Environ. Bull. 21(8c), 2494–2498

    Google Scholar 

  23. Laspidou, C.: ICT and stakeholder participation for improved urban water management in the cities of the future. Water Util. J. 8, 79–85 (2014)

    Google Scholar 

Download references

Acknowledgments

Elpiniki I. Papageorgiou acknowledge the support of the ERC08- RECITAL project, co-financed by Greece and the European Social Fund through the Education and Lifelong Learning Operational Program of the Greek National Strategic Reference Framework 2007–2013.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Elpiniki I. Papageorgiou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Papageorgiou, E., Poczęta, K., Yastrebov, A., Laspidou, C. (2015). Fuzzy Cognitive Maps and Multi-step Gradient Methods for Prediction: Applications to Electricity Consumption and Stock Exchange Returns. In: Neves-Silva, R., Jain, L., Howlett, R. (eds) Intelligent Decision Technologies. IDT 2017. Smart Innovation, Systems and Technologies, vol 39. Springer, Cham. https://doi.org/10.1007/978-3-319-19857-6_43

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-19857-6_43

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19856-9

  • Online ISBN: 978-3-319-19857-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics