Skip to main content

Indiscernibility and Similarity in an Incomplete Information Table

  • Conference paper
Rough Set and Knowledge Technology (RSKT 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6401))

Included in the following conference series:

Abstract

A new method is proposed for interpreting and constructing relationships between objects in an incomplete information table. An incomplete information table is expressed as a family of complete tables. One can define an indiscernibility relation for each complete table and then get a family of indiscernibility relations of all complete tables. A pair of an indiscernibility and a similarity relation is constructed by the intersection and union of this family of indiscernibility relation. It provides a clear semantic interpretation for relationship between objects of an incomplete information table. In fact, it is a pair of bounds of the actual indiscernibility relation if all values in the incomplete table were known.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Guan, Y.: Set-valued information systems. Information Sciences 176, 2507–2525 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  2. Grzymala-Busse, J.W., Hu, M.: A comparison of several approaches to missing attribute values in data mining. In: Ziarko, W., Yao, Y. (eds.) Proceedings of the Second International Conference on Rough Sets and Current Trends in Computing, pp. 378–385. Physica-Verlag, Heidelberg (2001)

    Chapter  Google Scholar 

  3. Jaworski, W.: Generalized indiscernibility relations: applications for missing values and analysis of structural objects. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets VIII. LNCS, vol. 5084, pp. 116–145. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  4. Kryszkiewicz, M.: Rough set approach to incomplete information systems. Information Sciences 112, 39–49 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  5. Kryszkiewicz, M.: Rules in incomplete information systems. Information Sciences 113, 271–292 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  6. Zhao, Y., Yao, Y.Y., Luo, F.: Data analysis based on discernibility and indiscernibility. Information Sciences 177, 4959–4976 (2007)

    Article  MATH  Google Scholar 

  7. Leung, Y., Li, D.: Maximal consistent block technique for rule acquisition in incomplete information systems. Information Sciences 153, 85–106 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  8. Witold Lipski, J.R.: On semantic issues connected with incomplete information databases. ACM Transactions on Database Systems 4, 262–296 (1979)

    Article  Google Scholar 

  9. Nakamura, A.: A rough logic based on incomplete information and its applicaton. International Journal of Approximate Reasoning 15, 367–378 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  10. Orlowska, E.: Introduction: what you always wanted to know about rough sets. In: Orlowska, E. (ed.) Incomplete Information: Rough Set Analysis, pp. 1–20. Physica-Verlag, Heidelberg (1998)

    Google Scholar 

  11. Pawlak, Z.: Information systems theoretical foundations. Information Systems 6, 205–218 (1981)

    Article  MATH  Google Scholar 

  12. Wang, G.: Extension of rough set under incomplete information systems. Journal of Computer Research and Development 39, 1238–1243 (2002)

    Google Scholar 

  13. Zhang, W.: Incomplete information system and its optimal selections. Computers and Mathematics with Applications 48, 691–698 (2004)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, R., Yao, Y. (2010). Indiscernibility and Similarity in an Incomplete Information Table. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds) Rough Set and Knowledge Technology. RSKT 2010. Lecture Notes in Computer Science(), vol 6401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16248-0_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-16248-0_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16247-3

  • Online ISBN: 978-3-642-16248-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics