Skip to main content

Fuzzy Rule-Based Classification with Hypersphere Information Granules

  • Conference paper
  • First Online:
Book cover Fuzzy Techniques: Theory and Applications (IFSA/NAFIPS 2019 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1000))

Included in the following conference series:

  • 685 Accesses

Abstract

Fuzzy rule-based classification has been studied by a number of classification architectures. In this study, hypersphere information granules are used to form initial fuzzy classification model in an intuitive and interpretative way. The principle of justifiable granularity offers a certain way to optimizing information granules while facing the coverage and specificity criteria. By engaging a synergy of the principle of justifiable granularity and migrating prototypes, the refined classification model is constructed for better classification performance. A series of experiments concerning synthetic datasets and comparative studies are also implemented to exhibit the feasibility and effectiveness of the proposed classification method.

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 EPUB and 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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Asencio-Cortés, G., Martínez-Álvarez, F., Morales-Esteban, A., Reyes, J.: A sensitivity study of seismicity indicators in supervised learning to improve earthquake prediction. Knowl.-Based Syst. 101, 15–30 (2016)

    Article  Google Scholar 

  2. Bellman, R., Kalaba, R., Zadeh, L.: Abstraction and pattern classification. J. Math. Anal. Appl. 13(1), 1–7 (1966)

    Article  MathSciNet  Google Scholar 

  3. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Springer, Heidelberg (2013)

    MATH  Google Scholar 

  4. Bonissone, P., Cadenas, J.M., Garrido, M.C., Díaz-Valladares, R.A.: A fuzzy random forest. Int. J. Approximate Reasoning 51(7), 729–747 (2010)

    Article  MathSciNet  Google Scholar 

  5. Breiman, L.: Classification and Regression Trees. Routledge, Abingdon (2017)

    Book  Google Scholar 

  6. Cover, T.M., Hart, P.E.: Nearest neighbor pattern classification. IEEE Trans. Inf. Theory 13(1), 21–27 (1967)

    Article  Google Scholar 

  7. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification. Wiley, Hoboken (2012)

    MATH  Google Scholar 

  8. Fujita, H., Gaeta, A., Loia, V., Orciuoli, F.: Resilience analysis of critical infrastructures: a cognitive approach based on granular computing. IEEE Trans. Cybern. 99, 1–14 (2018)

    Google Scholar 

  9. Ishibuchi, H., Nozaki, K., Tanaka, H.: Distributed representation of fuzzy rules and its application to pattern classification. Fuzzy Sets Syst. 52(1), 21–32 (1992)

    Article  Google Scholar 

  10. Ishibuchi, H., Nakashima, T., Nii, M.: Classification and Modeling with Linguistic Information Granules: Advanced Approach to Linguistic Data Mining. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  11. Mika, S., Ratsch, G., Weston, J., Scholkopf, B., Mullers, K.R.: Fisher discriminant analysis with kernels. In: Neural Networks for Signal Processing IX: Proceedings of the 1999 IEEE Signal Processing Society Workshop (cat. no. 98th8468), August, pp. 41–48. IEEE (1999)

    Google Scholar 

  12. Pedrycz, W., Amato, A., Di Lecce, V., Piuri, V.: Fuzzy clustering with partial supervision in organization and classification of digital images. IEEE Trans. Fuzzy Syst. 16(4), 1008–1026 (2008)

    Article  Google Scholar 

  13. Pedrycz, W., Al-Hmouz, R., Morfeq, A., Balamash, A.: The design of free structure granular mappings: the use of the principle of justifiable granularity. IEEE Trans. Cybern. 43(6), 2105–2113 (2013)

    Article  Google Scholar 

  14. Pedrycz, W.: Granular computing for data analytics: a manifesto of human-centric computing. IEEE/CAA J. Automatica Sinica 5(6), 1025–1034 (2018)

    Article  MathSciNet  Google Scholar 

  15. Pota, M., Esposito, M., De Pietro, G.: Designing rule-based fuzzy systems for classification in medicine. Knowl.-Based Syst. 124, 105–132 (2017)

    Article  Google Scholar 

  16. Roubos, J.A., Setnes, M., Abonyi, J.: Learning fuzzy classification rules from labeled data. Inf. Sci. 150(1–2), 77–93 (2003)

    Article  MathSciNet  Google Scholar 

  17. Sanz, J.A., Fernández, A., Bustince, H., Herrera, F.: Improving the performance of fuzzy rule-based classification systems with interval-valued fuzzy sets and genetic amplitude tuning. Inf. Sci. 180(19), 3674–3685 (2010)

    Article  Google Scholar 

  18. Sanz, J.A., Bernardo, D., Herrera, F., Bustince, H., Hagras, H.: A compact evolutionary interval-valued fuzzy rule-based classification system for the modeling and prediction of real-world financial applications with imbalanced data. IEEE Trans. Fuzzy Syst. 23(4), 973–990 (2015)

    Article  Google Scholar 

  19. Scholkopf, B., Smola, A.J.: Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond. MIT Press, Cambridge (2002)

    Google Scholar 

  20. Shalaginov, A., Franke, K.: Big data analytics by automated generation of fuzzy rules for Network Forensics Readiness. Appl. Soft Comput. 52, 359–375 (2017)

    Article  Google Scholar 

  21. Shawe-Taylor, J., Cristianini, N.: An Introduction to Support Vector Machines and Other Kernel-based Learning Methods, vol. 204. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  22. Specht, D.F.: Probabilistic neural networks. Neural Netw. 3(1), 109–118 (1990)

    Article  Google Scholar 

  23. Xu, X., Li, Y.: Comparison between particle swarm optimization, differential evolution and multi-parents crossover. In: 2007 Proceedings of International Conference on Computational Intelligence and Security (CIS 2007), December, pp. 124–127. IEEE (2007)

    Google Scholar 

  24. Zadeh, L.A.: Fuzzy sets and information granularity. Adv. Fuzzy Set Theory Appl. 11, 3–18 (1979)

    MathSciNet  Google Scholar 

Download references

Acknowledgements

This research was supported by the Natural Science Foundation of China under Grant No. 61876029.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chen Fu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Fu, C., Lu, W. (2019). Fuzzy Rule-Based Classification with Hypersphere Information Granules. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_24

Download citation

Publish with us

Policies and ethics