Skip to main content

Exclusive Item Partition with Fuzziness Tuning in MMMs-Induced Fuzzy Co-clustering

  • Conference paper
  • First Online:
Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9978))

  • 1592 Accesses

Abstract

Fuzzy co-clustering achieves dual partition of object-item pairs by estimating fuzzy memberships of them. In the multinomial mixtures-induced model, object memberships present the exclusive assignment to clusters while item memberships describe relative typicality in each cluster. In order to improve the interpretability of item partition, exclusive penalty was adopted for item memberships in previous works, where item fuzzy memberships are estimated reflecting both fuzzification penalty and exclusive penalty. In this paper, the characteristics of exclusive item penalty are further studied considering the influences of the item fuzziness weight with different fuzziness degrees.

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 EPUB and 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

References

  1. Oh, C.-H., Honda, K., Ichihashi, H.: Fuzzy clustering for categorical multivariate data. In: Proceedings of Joint 9th IFSA World Congress and 20th NAFIPS International Conference, pp. 2154–2159 (2001)

    Google Scholar 

  2. Kummamuru, K., Dhawale, A., Krishnapuram, R.: Fuzzy co-clustering of documents and keywords. In: Proceedings of the 2003 IEEE International Conference on Fuzzy Systems, vol. 2, pp. 772–777 (2003)

    Google Scholar 

  3. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)

    Book  MATH  Google Scholar 

  4. Miyamoto, S., Ichihashi, H., Honda, K.: Algorithms for Fuzzy Clustering. Springer, Heidelberg (2008)

    MATH  Google Scholar 

  5. Honda, K., Oshio, S., Notsu, A.: Fuzzy co-clustering induced by multinomial mixture models. J. Adv. Comput. Intell. Intell. Inf. 19(6), 717–726 (2015)

    Google Scholar 

  6. Rigouste, L., Cappé, O., Yvon, F.: Inference and evaluation of the multinomial mixture model for text clustering. Inf. Process. Manag. 43(5), 1260–1280 (2007)

    Article  Google Scholar 

  7. Honda, K., Nakano, T., Oh, C.-H., Ubukata, S., Notsu, A.: Partially exclusive item partition in MMMs-induced fuzzy co-clustering and its effects in collaborative filtering. J. Adv. Comput. Intell. Intell. Inf. 19(6), 810–817 (2015)

    Google Scholar 

  8. Nakano, T., Honda, K., Ubukata, S., Notsu, A.: MMMs-Induced fuzzy co-clustering with exclusive partition penalty on selected items. In: Huynh, V.-N., Inuiguchi, M., Denoeux, T. (eds.) IUKM 2015. LNCS (LNAI), vol. 9376, pp. 226–235. Springer, Heidelberg (2015). doi:10.1007/978-3-319-25135-6_22

    Chapter  Google Scholar 

  9. Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the EM algorithm. J. Roy. Stat. Soc. B 39, 1–38 (1977)

    MathSciNet  MATH  Google Scholar 

  10. Hathaway, R.J.: Another interpretation of the EM algorithm for mixture distributions. Stat. Probab. Lett. 4, 53–56 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  11. Miyamoto, S., Mukaidono, M.: Fuzzy \(c\)-means as a regularization and maximum entropy approach. In: Proceedings of the 7th International Fuzzy Systems Association World Congress, vol. 2, pp. 86–92 (1997)

    Google Scholar 

  12. Ichihashi, H., Miyagishi, K., Honda, K.: Fuzzy c-means clustering with regularization by K-L information. In: Proceedings of 10th IEEE International Conference on Fuzzy Systems, vol. 2, pp. 924–927 (2001)

    Google Scholar 

  13. Hathaway, R.J., Davenport, J.W., Bezdek, J.C.: Relational duals of the \(c\)-means clustering algorithms. Pattern Recogn. 22(2), 205–212 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  14. Honda, K., Notsu, A., Ichihashi, H.: Fuzzy PCA-guided robust \(k\)-means clustering. IEEE Trans. Fuzzy Syst. 18(1), 67–79 (2010)

    Article  Google Scholar 

  15. Salton, G., Buckley, C.: Term-weighting approaches in automatic text retrieval. Inf. Process. Manage. 24(5), 513–523 (1988)

    Article  Google Scholar 

  16. Honda, K., Oh, C.-H., Notsu, A.: Exclusive condition on item partition in fuzzy co-clustering based on K-L information regularization. In: Proceedings of the Joint 7th International Conference on Soft Computing and Intelligent Systems and 15th International Symposium on Advanced Intelligent Systems, pp. 1413–1417 (2014)

    Google Scholar 

  17. Honda, K., Muranishi, M., Notsu, A., Ichihashi, H.: FCM-type cluster validation in fuzzy co-clustering and collaborative filtering applicability. Int. J. Comput. Sci. Netw. Secur. 13(1), 24–29 (2013)

    Google Scholar 

Download references

Acknowledgment

This work was supported in part by JSPS KAKENHI Grant Number JP26330281.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Katsuhiro Honda .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Nakano, T., Honda, K., Ubukata, S., Notsu, A. (2016). Exclusive Item Partition with Fuzziness Tuning in MMMs-Induced Fuzzy Co-clustering. In: Huynh, VN., Inuiguchi, M., Le, B., Le, B., Denoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2016. Lecture Notes in Computer Science(), vol 9978. Springer, Cham. https://doi.org/10.1007/978-3-319-49046-5_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-49046-5_16

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49045-8

  • Online ISBN: 978-3-319-49046-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics