Skip to main content

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 248))

Abstract

A new feature selection methodology on the basis of features’ combined class separability power, using the framework of Axiomatic Fuzzy Set (AFS) theory has been proposed here. The AFS theory provides the rules for logic operations needed to interpret the combinations of features from the fuzzy feature set. Based on these combinational rules, class separability power of the combined features is determined and subsequently the most powerful subset of the feature set is selected. The performance of this methodology is evaluated upon for recognition of handwritten numerals of five popular Indic scripts viz. Bangla, Devanagari, Roman, Telugu and Arabic with SVM based classifier using gradient based directional feature set and quad-tree based longest-run feature set separately and compared with six widely used feature selection techniques. From the experimental results, it has been found that the methodology provides higher recognition accuracies with lesser or equal numbers of features selected for each dataset.

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

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. Tsamardinos, I., Aliferis, C.F.: Towards principled feature selection: Relevancy, filters and wrappers. In: Proceedings of the Ninth International Workshop on Artificial Intelligence and Statistics. Morgan Kaufmann Publishers, Key West (2003)

    Google Scholar 

  2. Hall, M.A., Smith, L.A.: Feature selection for machine learning: comparing a correlation-based filter approach to the wrapper. In: Proceedings of the Twelfth International Florida Artificial Intelligence Research Society Conference, p. 239. AAAI Press (1999)

    Google Scholar 

  3. Roy, A., Das, N., Basu, S., Sarkar, R., Kundu, M., Nasipuri, M.: Region selection in handwritten character recognition using Artificial Bee Colony Optimization. In: EAIT, pp. 189–192 (2012)

    Google Scholar 

  4. Mitra, P., Murthy, C., Pal, S.K.: Unsupervised feature selection using feature similarity. IEEE Transactions on Pattern Analysis and Machine Intelligence 24, 301–312 (2002)

    Article  Google Scholar 

  5. Hall, M.A.: Correlation-based feature selection for machine learning. The University of Waikato (1999)

    Google Scholar 

  6. Peng, H., Long, F., Ding, C.: Feature selection based on mutual information criteria of max-dependency, max-relevance, and min-redundancy. IEEE Transactions on Pattern Analysis and Machine Intelligence 27, 1226–1238 (2005)

    Article  Google Scholar 

  7. Lee, H.-M., Chen, C.-M., Chen, J.-M., Jou, Y.-L.: An efficient fuzzy classifier with feature selection based on fuzzy entropy. Trans. Sys. Man Cyber. Part B 31, 426–432 (2001)

    Article  Google Scholar 

  8. Luukka, P.: Feature selection using fuzzy entropy measures with similarity classifier. Expert Systems with Applications 38, 4600–4607 (2011)

    Article  Google Scholar 

  9. Guyon, I., Elisseeff, A.: An introduction to variable and feature selection. The Journal of Machine Learning Research 3, 1157–1182 (2003)

    MATH  Google Scholar 

  10. Rezaee, M.R., Goedhart, B., Lelieveldt, B., Reiber, J.: Fuzzy feature selection. Pattern Recognition 32, 2011–2019 (1999)

    Article  Google Scholar 

  11. Li, Y., Wu, Z.F.: Fuzzy feature selection based on min–max learning rule and extension matrix. Pattern Recognition 41, 217–226 (2008)

    Article  MATH  Google Scholar 

  12. Liu, X., Pedrycz, W.: Axiomatic Fuzzy Set Theory and Its Applications. STUDFUZZ, vol. 244. Springer, Heidelberg (2009)

    Book  MATH  Google Scholar 

  13. Xiaodong, L.: The fuzzy theory based on AFS algebras and AFS structure. Journal of Mathematical Analysis and Applications 217, 459–478 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  14. Wang, X., Liu, X., Pedrycz, W., Zhu, X., Hu, G.: Mining axiomatic fuzzy set association rules for classification problems. European Journal of Operational Research 218, 202–210 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  15. Ren, Y., Liu, X., Cao, J.: A parsimony fuzzy rule-based classifier using axiomatic fuzzy set theory and support vector machines. Information Sciences 181, 5180–5193 (2011)

    Article  MATH  Google Scholar 

  16. Tao, L., Chen, Y., Liu, X., Wang, X.: An integrated multiple criteria decision making model applying axiomatic fuzzy set theory. Applied Mathematical Modelling (2011)

    Google Scholar 

  17. http://yann.lecun.com/exdb/mnist/

  18. Roy, A., Mazumder, N., Das, N., Sarkar, R., Basu, S., Nasipuri, M.: A new quad tree based feature set for recognition of handwritten Bangla numerals. In: 2012 IEEE International Conference on Engineering Education: Innovative Practices and Future Trends (AICERA), pp. 1–6 (2012)

    Google Scholar 

  19. Das, N., Reddy, J.M., Sarkar, R., Basu, S., Kundu, M., Nasipuri, M., Basu, D.K.: A statistical-topological feature combination for recognition of handwritten numerals. Appl. Soft Comput. 12, 2486–2495 (2012)

    Article  Google Scholar 

  20. Roy, A., Das, N., Sarkar, R., Basu, S., Kundu, M., Nasipuri, M.: A Comparative Study of Feature Ranking Methods in Recognition of Handwritten Numerals. In: IEEE International Conference on Signal Processing, Computing and Control (ISPCC), September 26-28 (2013)

    Google Scholar 

  21. Hall, M., Frank, E., Holmes, G., Pfahringer, B., Reutemann, P., Witten, I.H.: The WEKA data mining software: an update. ACM SIGKDD Explorations Newsletter 11, 10–18 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abhinaba Roy .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Roy, A., Das, N., Sarkar, R., Basu, S., Kundu, M., Nasipuri, M. (2014). An Axiomatic Fuzzy Set Theory Based Feature Selection Methodology for Handwritten Numeral Recognition. In: Satapathy, S., Avadhani, P., Udgata, S., Lakshminarayana, S. (eds) ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I. Advances in Intelligent Systems and Computing, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-03107-1_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-03107-1_16

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03106-4

  • Online ISBN: 978-3-319-03107-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics