Skip to main content

On the Property of SIC Fuzzy Inference Model with Compatibility Functions

  • Conference paper
  • First Online:
  • 998 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9376))

Abstract

The single input connected fuzzy inference model (SIC model) can decrease the number of fuzzy rules drastically in comparison with the conventional fuzzy inference models. However, the inference results obtained by the SIC model were generally simple comapred with the conventional fuzzy inference models. In this paper, we propose a SIC model with compatibility functions, which weights the rules of the SIC model. Moreover, this paper shows that the inference results of the proposed model can be easily obtained even as the proposed model uses involved compatibility functions.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Mamdani, E.H.: Application of fuzzy algorithms for control of simple dynamic plant. In: Proc. IEE, vol. 121, no. 12, pp. 1585–1588 (1974)

    Google Scholar 

  2. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst., Man, Cybern. SMC–15(1), 116–132 (1985)

    Article  MATH  Google Scholar 

  3. Hayashi, K., Otsubo, A., Murakami, S., Maeda, M.: Realization of nonlinear and linear PID controls using simplified indirect fuzzy inference method. Fuzzy Sets Syst. 105, 409–414 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  4. Hayashi, K., Otsubo, A., Shiranita, K.: Improvement of conventional method of PI fuzzy control. IEICE Trans. Fundamentals E84–A(6), 1588–1592 (2001)

    Google Scholar 

  5. Mizumoto, M.: Fuzzy controls under various fuzzy reasoning methods. Inf. Sci. 45, 129–151 (1988)

    Article  MathSciNet  Google Scholar 

  6. Hu, B.-G., Mann, G.K.I., Gosine, R.G.: A systematic study of fuzzy PID controllers–function-based evaluation approach. IEEE Trans. Fuzzy Syst. 9(5), 699–712 (2001)

    Article  Google Scholar 

  7. Seki, H., Mizumoto, M.: On the equivalence conditions of fuzzy inference methods-part 1: basic concept and definition. IEEE Trans. on Fuzzy Sust. 19(6), 1097–1106 (2011)

    Article  Google Scholar 

  8. Seki, H., Mizumoto, M.: Fuzzy functional inference method. In: Proc. 2010 IEEE World Congress on Computational Intelligence, FUZZ-IEEE 2010, Barcelona, Spain, pp. 1643–1648, July 2010

    Google Scholar 

  9. Seki, H.: A learning method of SIC inference model and its application. In: Proc. the 15th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, Osaka, Japan, pp. 187–191, September 2012

    Google Scholar 

  10. Seki, H.: On the single input connected fuzzy inference model with consequent fuzzy sets. In: Proc. the 7th International Conference on Soft Computing and Pattern Recognition, Fukuoka, Japan, November 2015 (submitted)

    Google Scholar 

  11. Seki, H., Mizumoto, M.: Additive fuzzy functional inference methods. In: Proc. 2010 IEEE International Conference on Systems, Man, and Cybernetics, Istanbul, Turkey, pp. 4304–4309, October 2010

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hirosato Seki .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Seki, H. (2015). On the Property of SIC Fuzzy Inference Model with Compatibility Functions. In: Huynh, VN., Inuiguchi, M., Demoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2015. Lecture Notes in Computer Science(), vol 9376. Springer, Cham. https://doi.org/10.1007/978-3-319-25135-6_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-25135-6_26

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25134-9

  • Online ISBN: 978-3-319-25135-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics