Skip to main content

Rough Set Approach to Information Systems with Interval Decision Values in Evaluation Problems

  • Chapter
Granular Computing: At the Junction of Rough Sets and Fuzzy Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 224))

  • 574 Accesses

Summary

In this chapter, a new rough set approach to decision making problems is proposed. It is assumed that the evaluations given by a decision maker are interval values. That is, we deal with the information system containing ambiguous decision expressed as interval values. By the approximations of the lower and upper bounds with respect to decision values, the approximations with interval decision values are illustrated in this chapter. The concept of the proposed approach resembles the one of Interval Regression Analysis. Furthermore, we discuss the unnecessary divisions between the decision values based on these bounds. The aim is to simplify IF-Then rules extracted from the information system. The method for removing the divisions is introduced using a numerical example.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Pawlak, Z.: Rough Classification. International Journal of Man-Machine Studies 20, 469–483 (1984)

    Article  MATH  Google Scholar 

  2. Nguyen, H.S., Slezak, D.: Approximate reducts and association rules correspondence and complexity results. In: Zhong, N., Skowron, A., Ohsuga, S. (eds.) New Directions in Rough Sets, Data Mining, and Granular-Soft Computing. LNCS (LNAI), vol. 1711, pp. 137–145. Springer, Heidelberg (1999)

    Google Scholar 

  3. Sugihara, K., Ishii, H., Tanaka, H.: On conjoint analysis by rough approximations based on dominance relations. International Journal of Intelligent Systems 19, 671–679 (2004)

    Article  MATH  Google Scholar 

  4. Greco, S., Matarazzo, B., Slowinski, R.: Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129, 1–47 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  5. Tanaka, H., Guo, P.: Possibilistic Data Analysis for Operations Research. Physica-Verlag, Heidelberg (1999)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Rafael Bello Rafael Falcón Witold Pedrycz Janusz Kacprzyk

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Sugihara, K., Tanaka, H. (2008). Rough Set Approach to Information Systems with Interval Decision Values in Evaluation Problems. In: Bello, R., Falcón, R., Pedrycz, W., Kacprzyk, J. (eds) Granular Computing: At the Junction of Rough Sets and Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76973-6_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-76973-6_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76972-9

  • Online ISBN: 978-3-540-76973-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics