Skip to main content

A New Fuzzy Interpolative Reasoning Method Based on the Ratio of Fuzziness of Rough-Fuzzy Sets

  • Conference paper
  • First Online:
Intelligent Information and Database Systems (ACIIDS 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9011))

Included in the following conference series:

Abstract

In this paper, we propose a new fuzzy interpolative reasoning method for sparse fuzzy rule-based systems based on the ratio of fuzziness of polygonal rough-fuzzy sets, where the values of the antecedent variables and the consequence variables in the fuzzy rules are represented by polygonal rough-fuzzy sets. The experimental results show that the proposed fuzzy interpolative reasoning method outperforms the existing method for fuzzy interpolative reasoning in sparse fuzzy rule-based systems.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chang, Y.C., Chen, S.M., Liau, C.J.: Fuzzy interpolative reasoning for sparse fuzzy-rule-based systems based on the areas of fuzzy sets. IEEE Transactions on Fuzzy Systems 16(5), 1285–1301 (2008)

    Article  Google Scholar 

  2. Chang, Y.C., Chen, S.M.: A new method for multiple fuzzy rules interpolation with weighted antecedent variables. In: Proceedings of 2008 IEEE International Conference on Systems, Man, and Cybernetics, Singapore, pp. 76–81 (2008)

    Google Scholar 

  3. Chen, C., Shen, Q.: A new method for rule interpolation inspired by rough-fuzzy sets. In: Proceedings of 2012 IEEE International Conference on Fuzzy Systems, Brisbane, Australia (2012)

    Google Scholar 

  4. Chen, S.M., Chang, Y.C.: A new method for weighted fuzzy interpolative reasoning based on weights-learning techniques. In: Proceedings of 2010 IEEE International Conference on Fuzzy Systems, Barcelona, Spain (2010)

    Google Scholar 

  5. Chen, S.M., Chang, Y.C.: Weighted fuzzy rule interpolation based on GA-based weight-learning techniques. IEEE Transactions on Fuzzy Systems 19(4), 729–744 (2011)

    Article  Google Scholar 

  6. Chen, S.M., Chang, Y.C.: Weighted fuzzy interpolative reasoning for sparse fuzzy rule-based systems. Expert Systems with Applications 38(8), 9564–9572 (2011)

    Article  MathSciNet  Google Scholar 

  7. Chen, S.M., Chang, Y.C.: Fuzzy rule interpolation based on principle membership functions and uncertainty grade functions of interval type-2 fuzzy sets. Expert System with Applications 38(9), 11573–11580 (2011)

    Article  MathSciNet  Google Scholar 

  8. Chen, S.M., Chang, Y.C.: Fuzzy rule interpolation based on the ratio of fuzziness of interval type-2 fuzzy sets. Expert Systems with Applications 38(10), 12202–12213 (2011)

    Article  Google Scholar 

  9. Chen, S.M., Chang, Y.C., Chen, Z.J., Chen, C.L.: Multiple fuzzy rules interpolation with weighted antecedent variables in sparse fuzzy rule-based systems. International Journal of Pattern Recognition and Artificial Intelligence 27(5), 1359002-1–1359002-15 (2013)

    Article  Google Scholar 

  10. Chen, S.M., Chang, Y.C., Pan, J.S.: Fuzzy rules interpolation for sparse fuzzy rule-based systems based on interval type-2 Gaussian fuzzy sets and genetic algorithms. IEEE Transactions on Fuzzy Systems 21(3), 412–425 (2013)

    Article  Google Scholar 

  11. Chen, S.M., Hsin, W.C., Yang, S.W., Chang, Y.C.: Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on the slopes of fuzzy sets. Expert Systems with Applications 39(15), 11961–11969 (2012)

    Article  Google Scholar 

  12. Chen, S.M., Lee, L.W.: Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on interval type-2 fuzzy sets. Expert Systems with Applications 38(8), 9947–9957 (2011)

    Article  Google Scholar 

  13. Zadeh, L.A.: Fuzzy sets. Information and Control 8(3), 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Chen, SM., Cheng, SH., Chen, ZJ. (2015). A New Fuzzy Interpolative Reasoning Method Based on the Ratio of Fuzziness of Rough-Fuzzy Sets. In: Nguyen, N., Trawiński, B., Kosala, R. (eds) Intelligent Information and Database Systems. ACIIDS 2015. Lecture Notes in Computer Science(), vol 9011. Springer, Cham. https://doi.org/10.1007/978-3-319-15702-3_53

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-15702-3_53

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15701-6

  • Online ISBN: 978-3-319-15702-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics