Skip to main content

Gaussian Fuzzy Integral Based Classification

  • Conference paper
  • First Online:
Intelligent and Evolutionary Systems

Part of the book series: Proceedings in Adaptation, Learning and Optimization ((PALO,volume 5))

Abstract

Fuzzy integral is a kind of effective fusion tool. Traditionally, fuzzy integral can project the data with n-dimension into one line, in which the projection is along with a group of linear lines. In reality, data distribution is not regular, so the straight line for projection is too limited. Gaussian function is applied to natural science widely. It is close to normal distribution and can cover more data. In this article, a new generalization of fuzzy integral is proposed. The Gaussian function is used as integrand. A new classifier is constructed based on Gaussian Fuzzy integral and applied into several benchmark data sets. The results show that the new version can improve the property of fuzzy integral and obtain the better performance.

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 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
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Sugeno, M.: Theory of fuzzy integrals and its applications. Ph.D. dissertation. Tokyo Institute of Technology (1972)

    Google Scholar 

  2. Sugeno, M.: Fuzzy measures and fuzzy integrals: a survey. In: Gupta, Saridis, Gaines (eds.), pp. 89–102 (1977)

    Google Scholar 

  3. Grabisch, M., Nicolas, J.M.: Classification by fuzzy integral: Performance and tests. Fuzzy Sets and Systems 65, 255–271 (1994)

    Article  MathSciNet  Google Scholar 

  4. Keller, J.M., Yan, B.: Possibility expectation and its decision making algorithm. In: 1st IEEE Int. Conf. On Fuzzy Systems, San Diago, pp. 661–668 (1992)

    Google Scholar 

  5. Chen, B., Chen, S., Feng, J.: A study of multisensor information fusion in welding process by using fuzzy integral method. Int. J. Adv. Manuf. Technol. 74, 413–422 (2014)

    Article  Google Scholar 

  6. Cavrini, F., Rita, L., Bianchi, Q.L., Saggio, G.: Combination of Classifiers Using the Fuzzy Integral for Uncertainty Identification and Subject Specific Optimization: Application to Brain-Computer Interface (2015). doi:10.5220/0005035900140024

  7. Mikenina, L., Zimmermann, H.J.: Improved feature selection and classification by the 2-additive fuzzy measure. Fuzzy Sets and Systems 107, 197–218 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  8. Xu, K.B., Wang, Z.Y., Heng, P.A., et al.: Classification by Nonlinear Integral projections. IEEE Transactions on Fuzzy System 11(2), 187–201 (2003)

    Article  Google Scholar 

  9. Wang, J. F, Lee, K. H, Leung, K. S, Wang, Z. Y.: Projection with Double Nonlinear Integrals for Classification. Book of Advances in Data Mining, 5077, 142-152 (2008)

    Google Scholar 

  10. Asuncion, A, Newman, D. J. UCI Machine Learning Repository, Irvine, CA, University of California, Department of Information and Computer Science (2007). http://www.ics.uci.edu/~mlearn/MLRepository.html

  11. Kumar, S., Tamura, K., Nei, M.: MEGA3: Integrated Software for Molecular Evolutionary Genetics Analysis and Sequence Alignment. Brief. Bioinformatics 5, 150–163 (2004)

    Article  Google Scholar 

  12. Sugauchi, F., Kumada, H., Sakugawa, H., Komatsu, M., Niitsuma, H., Watanabe, H., Akahane, Y., Tokita, H., Kato, T., Tanaka, Y., Orito, E., Ueda, R., Miyakawa, Y., Mizokami, M.: Two Subtypes of Genotype B (Ba and Bj) of Hepatitis B Virus in Japan. Clinical Infectious Diseases 38, 1222–1228 (2004)

    Article  Google Scholar 

  13. Leung, K.S., Lee, K.H., Wang, J.F., et al.: Data Mining on DNA Sequences of Hepatitis B Virus. IEEE/ACM Transactions on Computational Biology and Bioinformatics 8(2), 428–440 (2011)

    Article  Google Scholar 

  14. SAS1 Enterprise Miner (EM) (2009). http://www.sas.com/technologies/analytics/datamining/miner/

  15. Data Mining Tools See5 and C5.0: Software (2006). http://www.rulequest.com/see5-info.html

  16. Borgelt, C.: Bayes Classifier Induction. Software (2009). http://fuzzy.cs.uni-magdeburg.de/~borgelt/bayes.html

  17. Chang, C.C., Lin, C.J.: LIBSVM: A Library for Support Vector Machines (2001). http://www.csie.ntu.edu.tw/~cjlin/libsvm

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wang Wenzhong .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Jinfeng, W., Wenzhong, W. (2016). Gaussian Fuzzy Integral Based Classification. In: Lavangnananda, K., Phon-Amnuaisuk, S., Engchuan, W., Chan, J. (eds) Intelligent and Evolutionary Systems. Proceedings in Adaptation, Learning and Optimization, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-27000-5_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-27000-5_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26999-3

  • Online ISBN: 978-3-319-27000-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics