Skip to main content

Clustering Using Fuzzy Rough Granular Self-organizing Map

  • Chapter
  • First Online:
  • 895 Accesses

Part of the book series: Studies in Computational Intelligence ((SCI,volume 712))

Abstract

Several clustering algorithms for identifying the actual structures of real life data sets are available in the literature.

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   119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   159.99
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

Learn about institutional subscriptions

References

  1. Banerjee, M., Mitra, S., Pal, S.K.: Rough fuzzy MLP: knowledge encoding and classification. IEEE Trans. Neural Netw. 9(6), 1203–1216 (1998)

    Article  Google Scholar 

  2. Bar-Joseph, Z., Gifford, D.K., Jaakkola, T.S.: Fast optimal leaf ordering for hierarchical clustering. Bioinformatics 17(1), 22–29 (2001)

    Article  Google Scholar 

  3. Davies, D.L., Bouldin, D.: A cluster separation measure. IEEE Trans. Pattern Anal. Mach. Intell. 1(2), 224–227 (1979)

    Article  Google Scholar 

  4. Eisen, M.B., Spellman, P.T., Brown, P.O., Botstein, D.: Cluster analysis and display of genome-wide expression patterns. Proc. Natl. Acad. Sci. USA 95, 4863–14868 (1998)

    Article  Google Scholar 

  5. Ganivada, A., Ray, S.S., Pal, S.K.: Fuzzy rough granular self-organizing map and fuzzy rough entropy. Theoret. Comput. Sci. 466, 37–63 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  6. Herbert, J.P., Yao, J.T.: A granular computing frame work for self-organizing maps. Neurocomputing 72(13–15), 2865–2872 (2009)

    Article  Google Scholar 

  7. Kohonen, T.: Self-organizing maps. Proc. IEEE 78(9), 1464–1480 (1990)

    Article  Google Scholar 

  8. Lingras, P., Hogo, M., Snorek, M.: Interval set clustering of web users using modified kohonen self-organizing maps based on the properties of rough sets. Web Intell. Agent Syst. 2(3), 217–225 (2004)

    Google Scholar 

  9. Mewes, H.W., Frishman, D., Gldener, U., Mannhaupt, G., Mayer, K., Mokrejs, M., Morgenstern, B., Mnsterktter, M., Rudd, S., Weil, B.: MIPS: a database for genomes and protein sequences. Nucleic Acids Res. 30(1), 31–34 (2002)

    Article  Google Scholar 

  10. Mi, J.S., Leung, Y., Zhao, H.Y., Feng, T.: Generalized fuzzy rough sets determined by a triangular norm. Inf. Sci. 178(16), 3203–3213 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  11. Mitra, S., Pal, S.K.: Self-organizing neural network as a fuzzy classifier. IEEE Trans. Syst. Man Cybern. 24(3), 385–399 (1994)

    Article  Google Scholar 

  12. Pal, S.K., Dasgupta, B., Mitra, P.: Rough self-organizing map. Appl. Intell. 21(1), 289–299 (2004)

    Article  MATH  Google Scholar 

  13. Pal, S.K., Ghosh, A., Shankar, B.U.: Segmentation of remotely sensed images with fuzzy thresholding, and quantitative evaluation. Int. J. Remote Sens. 21(11), 2269–2300 (2000)

    Article  Google Scholar 

  14. Pal, S.K., Majumder, D.D.: Fuzzy sets and decision making approaches in vowel and speaker recognition. IEEE Trans. Syst. Man Cybern. 7(8), 625–629 (1977)

    Article  MATH  Google Scholar 

  15. Ray, S.S., Bandyopadhyay, S., Pal, S.K.: Dynamic range based distance measure for microarray expressions and a fast gene ordering algorithm. IEEE Trans. Syst. Man Cybern. Part B 37, 742–749 (2007)

    Google Scholar 

  16. Sen, D., Pal, S.K.: Generalized rough sets, entropy and image ambiguity measures. IEEE Trans. Syst. Man Cybern. Part B 39(1), 117–128 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sankar K. Pal .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Pal, S.K., Ray, S.S., Ganivada, A. (2017). Clustering Using Fuzzy Rough Granular Self-organizing Map. In: Granular Neural Networks, Pattern Recognition and Bioinformatics. Studies in Computational Intelligence, vol 712. Springer, Cham. https://doi.org/10.1007/978-3-319-57115-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-57115-7_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57113-3

  • Online ISBN: 978-3-319-57115-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics