Skip to main content

Fuzzy Multilayer Perceptrons for Fuzzy Vector Regression

  • Chapter
  • First Online:
Women in Computational Intelligence

Abstract

In this chapter, we introduce the fuzzy multilayer perceptrons with cuckoo search (CS-FMLP). In particular, the fuzzy multilayer perceptrons is an algorithm that can deal with fuzzy inputs and fuzzy outputs. The optimal weights and biases are found by the cuckoo search algorithm. We show how this algorithm can be used in the regression research area using three real data sets, the yacht hydrodynamics data set, the energy efficiency data set, and the upper Ping river data set. To show the goodness of the algorithm, we implement the multilayer perceptrons with cuckoo search (CS-MLP) as well. The comparison results show that our CS-FMLP is comparable to the CS-MLP on some results and better than the CS-MLP on the others. However, the real advantage of this CS-FMLP algorithm is that it can provide the possible range of the predicted value, while CS-MLP can only provide the exact predicted value.

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 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
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. G. Alfonso, A.F. Roldán López de Hierro, C. Roldán, A fuzzy regression model based on finite fuzzy numbers and its application to real-world financial data. J. Comput. Appl. Math. 318, 47–58 (2017)

    Article  MathSciNet  Google Scholar 

  2. R.A. Aliev, B. Fazlollahi, R.M. Vahidov, Genetic algorithm-based learning of fuzzy neural networks. Part 1: Feed-forward fuzzy neural networks. Fuzzy Sets Syst. 118(2), 351–358 (2001)

    Article  Google Scholar 

  3. R.A. Aliev, B.G. Guirimov, B. Fazlollahi, R.R. Aliev, Evolutionary algorithm-based learning of fuzzy neural networks. Part 2: Recurrent Fuzzy neural networks. Fuzzy Sets Syst. 160, 2553–2566 (2009)

    Article  MathSciNet  Google Scholar 

  4. A. Bargiela, W. Pedrycz, T. Nakashima, Multiple regression with fuzzy data. Fuzzy Sets Syst. 158(19), 2169–2188 (2007)

    Article  MathSciNet  Google Scholar 

  5. K.Y. Chan, H.K. Lam, C.K.F. Yiu, T.S. Dillon, A flexible fuzzy regression method for addressing nonlinear uncertainty on aesthetic quality assessments. IEEE Trans. Syst. Man Cybern. Syst. 47(8), 2363–2377 (2017)

    Article  Google Scholar 

  6. T. Chen, A fuzzy Back propagation network for output time prediction in a wafer fab. Appl. Soft Comput. 2/3F, 211–222 (2003)

    Article  Google Scholar 

  7. F. Choobineh, H. Li, An index for Ordering Fuzzy Numbers. Fuzzy Sets Syst. 54(3), 287–294 (1993)

    Article  MathSciNet  Google Scholar 

  8. S. Danesh, R. Farnoosh, T. Razzaghnia, Fuzzy nonparametric regression based on adaptive neuro-fuzzy inference system. Neurocomputing 173, 1450–1460 (2016)

    Article  Google Scholar 

  9. W. Dong, F. Wong, Fuzzy weighted averages and implementation of the extension principle. Fuzzy Sets Syst. 21, 183–199 (1987)

    Article  MathSciNet  Google Scholar 

  10. W. Dong, H. Shah, F. Wong, Fuzzy computations in risk and decision analysis. Civ. Eng. Syst. 2, 201–208 (1985)

    Article  Google Scholar 

  11. M. Gupta, J. Qi, On Fuzzy Neuron Models. The International Joint Conference on Neural Networks (IJCNN). pp 431–436, (1991)

    Google Scholar 

  12. Y. Hayashi, J.J. Buckley, E. Czogala, Fuzzy neural network with fuzzy signals and weights. Int. J. Intell. Syst. 8, 527–537 (1993)

    Article  Google Scholar 

  13. S. Haykin, Neural Networks: A Comprehensive Foundation (Prentice Hall, Upper Saddle River, 1999)

    MATH  Google Scholar 

  14. T. Hong, P. Wang, Fuzzy interaction regression for short term load forecasting. Fuzzy Optim. Decis. Making 13(1), 91–103 (2014)

    Article  Google Scholar 

  15. H. Ishibuchi, R. Fujioka, H. Tanaka, An Architecture of Neural Networks for Input Vectors of Fuzzy Numbers. IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). San Diego. pp. 1293–1300, (1992)

    Google Scholar 

  16. H. Ishibuchi, K. Morioka, H. Tanaka, A Fuzzy Neural Network with Trapezoid Fuzzy Weights. IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). pp. 228–233, (1994)

    Google Scholar 

  17. H. Ishibuchi, K. Kwon, H. Tanaka, A learning algorithm of fuzzy neural networks with triangular fuzzy weights. Fuzzy Sets. Syst. 71, 277–293 (1995)

    Article  Google Scholar 

  18. H. Ishibuchi, K. Morioka, I.B. Turksen, Learning by Fuzzified neural networks. Int. J. Approx. Reason. 13, 327–358 (1995)

    Article  Google Scholar 

  19. O. Kaleva, S. Seikkala, On Fuzzy Metric Spaces. Fuzzy Sets Syst. 12, 215–229 (1984)

    Article  Google Scholar 

  20. G. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Application (Prentice Hall, Upper Saddle River, 1995)

    MATH  Google Scholar 

  21. P.V. Krishnamraju, J.J Buckley, K.D. Reilly, Y. Hayashi, Genetic Learning Algorithms for Fuzzy Neural Nets. IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). pp. 1969–1974, (1994)

    Google Scholar 

  22. G. Leng, T.M. McGinnity, G. Prasad, Design for Self-Organizing Fuzzy Neural Networks Based on genetic algorithms. IEEE Trans. Fuzzy Syst. 14(6), 755–766 (2006)

    Article  Google Scholar 

  23. J. Li, W. Zeng, J. Xie, Q. Yin, A new fuzzy regression model based on least absolute deviation. Eng. Appl. Artif. Intell. 52, 54–64 (2016)

    Article  Google Scholar 

  24. M. Mares, Computation over Fuzzy Quantities (CRC Press, 1994)

    MATH  Google Scholar 

  25. F. Megri, A.C. Megri, R. Djabri, An integrated fuzzy support vector regression and the particle swarm optimization algorithm to predict indoor thermal comfort. Indoor Built Environ. 25(8), 1248–1258 (2016)

    Article  Google Scholar 

  26. M. Mizumoto, K. Tanaka, Some properties of fuzzy numbers in advances in fuzzy sets theory and applications, in Advances in Fuzzy Set Theory and Applications, ed. by M. M. Gupta, (North-Holland, Amsterdam, 1979), pp. 153–164

    Google Scholar 

  27. R. Moore, Interval Analysis (Prentice-Hall, Englewood Cliffs, 1966)

    MATH  Google Scholar 

  28. M. Nii, T. Iwamoto, S. Okajima, Y. Tsuchida, Hybridization of Standard and Fuzzified Neural Networks from MEMS-Based Human Condition Monitoring Data for Estimating Heart Rate. International Conference on Machine Learning and Cybernetics (ICMLC). pp. 1–6, (2016)

    Google Scholar 

  29. H. Okada, Genetic algorithm with fuzzy genotype values and its application to Neuroevolution. Int. J. Comput. Inf. Sci. Eng. 8(1), 1–7 (2014)

    Google Scholar 

  30. H. Okada, Evolving fuzzy neural networks by particle swarm optimization with fuzzy genotype values. Int. J. Comput. Digit. Syst. 3(3), 181–187 (2014)

    Article  Google Scholar 

  31. S.K. Pal, S. Mitra, Multilayer perceptron, fuzzy sets, and classification. IEEE Trans. Neural Netw 3(5), 683–696 (1992)

    Article  Google Scholar 

  32. S. Phitakwinai, S. Auephanwiriyakul, N. Theera-Umpon, Fuzzy Multilayer Perceptron with Cuckoo Search. JP Journal of Heat and Mass Transfer. Special Volume, Issue II: Advances in Mechanical System and ICI-convergence. pp. 257–275, (2018)

    Google Scholar 

  33. A.F. Roldán López de Hierro, J. Martínez-Moreno, C. Aguilar-Peña, C. Roldán López de Hierro, Estimation of a fuzzy regression model using fuzzy distances. IEEE Trans. Fuzzy Syst. 24(2), 344–359 (2016)

    Article  Google Scholar 

  34. H. Tanaka, S. Uejima, K. Asai, Linear regression analysis with fuzzy model. IEEE Trans. Syst. Man Cybern. SMC-12(6), 903–907 (1982)

    MATH  Google Scholar 

  35. The UCI, Repository of Machine Learning Databases and Domain Theories. Available: http://www.ics.uci.edu/~mlearn/MLRepository.html

  36. N. Theera-Umpon, S. Auephanwiriyakul, S. Suteerohnwiroj, J. Pahasa, K. Wantanajittikul, River Basin Flood Prediction Using Support Vector Machines. IEEE International Joint Conference on Neural Networks (IJCNN 2008). (Hong Kong, 2008). pp. 3039–3043.

    Google Scholar 

  37. J. Wang, X. Yu, P. Li, Research of Tax Assessment Based on Improved Fuzzy Neural Network (ICALIP, Shanghai, 2016)

    Book  Google Scholar 

  38. H.-C. Wu, Linear regression analysis for fuzzy input and output data using the extension principle. Comput. Math. Appl. 45(12), 1849–1859 (2003)

    Article  MathSciNet  Google Scholar 

  39. X.S. Yang, S. Deb, Cuckoo Search Via Lévy Flights. World Congress on Nature & Biologically Inspired Computing (NaBIC) (Coimbatore, 2009), pp. 210–214

    Google Scholar 

  40. L. Zadeh, Outline of new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cybern. Syst. 3(1) (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sansanee Auephanwiriyakul .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Auephanwiriyakul, S., Phitakwinai, S., Theera-Umpon, N. (2022). Fuzzy Multilayer Perceptrons for Fuzzy Vector Regression. In: Smith, A.E. (eds) Women in Computational Intelligence. Women in Engineering and Science. Springer, Cham. https://doi.org/10.1007/978-3-030-79092-9_12

Download citation

Publish with us

Policies and ethics