Skip to main content

Generalized Granulation Model for Data with Multi-complex Values

  • Conference paper
Rough Sets and Current Trends in Computing (RSCTC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7413))

Included in the following conference series:

  • 1904 Accesses

Abstract

In order to establish a better application platform for granular computing, a novel generalized granulation model based on characteristic similarity is constructed in this paper. Considering that in the real-world application, a decision table often contains large amount of different types of complex data, we firstly reform these complex data into unified mathematical descriptions under the probabilistic measures. Then, characteristic similarity relation based on calculations of expectation and variance values, is figured to measure the similarity of each pair of objects with multi-complex attribute values. Lastly, we can get granulation results for all objects in the decision table according to the definition of characteristic similarity matrix. It has been proved that the proposed granulation model is a reasonable extension of Pawlaks equivalence partition model. Finally, examples are given to illustrate the proposed granulation model, which is proved to be effective, feasible and simple.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Pedrycz, W.: Granular computing-the emerging paradigm. Journal of Uncertain Systems 1, 38–61 (2007)

    Google Scholar 

  2. Jenson, R., Shen, Q.: Granular computing-the emerging paradigm. Journal of Uncertain Systems. In: Proceedings of IEEE International Conference on Fuzzy Systems, pp. 29–34. IEEE Press, New York (2002)

    Google Scholar 

  3. Ma, J.M., Zhang, W.X., Leung, Y.: Granular computing and dual Galois connection. Information Sciences 177, 5365–5377 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Bhatt, R.B., Gopal, M.: On the extension of functional dependency degree from crisp to fuzzy partitions. Pattern Recognition Letters 27, 487–491 (2006)

    Article  Google Scholar 

  5. Zhu, W.: Topological approaches to covering rough sets. Information Sciences 177, 1499–1508 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hedjazi, L., Aguilar-Martin, J., Lann, M.L.: Similarity-margin based feature selection for symbolic interval data. Pattern Recognition Letters 32, 578–585 (2011)

    Article  Google Scholar 

  7. Qian, Y., Dang, C., Liang, J.: Set-valued ordered information systems. Information Sciences 179, 2809–2832 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  8. Wu, W.Z., Zhang, M., Li, H.Z.: Knowledge reduction in random information systems via Dempster-Shafer theory of evidence. Information Sciences 174, 143–164 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hu, Q.H., Zhang, L., Zhang, D.: Measuring relevance between discrete and continuous features based on neighborhood mutual information. Expert Systems with Applications 38, 10737–10750 (2011)

    Article  Google Scholar 

  10. Tan, X., Tang, Y.L., Zhang, S.D.: Rough sets based attribute reduction algorithm for hybrid data. Journal of National Univ. of Defense Technology 30, 83–88 (2008) (in Chinese)

    Google Scholar 

  11. Tan, X.: Extended rough set models and their applications in quality prediction and evaluation for tobacco leaves. National University of Defense Technology, Changsha (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tan, X., Chen, B. (2012). Generalized Granulation Model for Data with Multi-complex Values. In: Yao, J., et al. Rough Sets and Current Trends in Computing. RSCTC 2012. Lecture Notes in Computer Science(), vol 7413. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32115-3_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-32115-3_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32114-6

  • Online ISBN: 978-3-642-32115-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics