Skip to main content

Data Filling Approach of Soft Sets under Incomplete Information

  • Conference paper
Intelligent Information and Database Systems (ACIIDS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6592))

Included in the following conference series:

Abstract

Incomplete information in a soft set restricts the usage of the soft set. To make the incomplete soft set more useful, in this paper, we propose a data filling approach for incomplete soft set in which missing data is filled in terms of the association degree between the parameters when stronger association exists between the parameters or in terms of the probability of objects appearing in the mapping sets of parameters when no stronger association exists between the parameters. An illustrative example is employed to show the feasibility and validity of our approach in practical applications.

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. Molodtsov, D.: Soft set theory_First results. Computers and Mathematics with Applications 37, 19–31 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  2. Aktas, H., Cagman, N.: Soft sets and soft groups. Information Sciences 177, 2726–2735 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Acar, U., Koyuncu, F., Tanay, B.: Soft sets and soft rings. Computers and Mathematics with Applications 59, 3458–3463 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  4. Feng, F., Jun, Y.B., Zhao, X.: Soft semirings. Computers and Mathematics with Applications 56, 2621–2628 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Jun, Y.B., Lee, K.J., Khan, A.: Soft ordered semigroups. Math. Logic Quart. 56, 42–50 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  6. Xiao, Z., Gong, K., Xia, S., Zou, Y.: Exclusive disjunctive soft sets. Computers and Mathematics with Applications 59, 2128–2137 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. Journal of Fuzzy Mathematics 9, 589–602 (2001)

    MathSciNet  MATH  Google Scholar 

  8. Maji, P.K., Biswas, R., Roy, A.R.: Intuitionistic fuzzy soft sets. Journal of Fuzzy Mathematics 9, 677–692 (2001)

    MathSciNet  MATH  Google Scholar 

  9. Yang, X.B., Lin, T.Y., Yang, J., Dongjun, Y.L.A.: Combination of interval-valued fuzzy set and soft set. Computers and Mathematics with Applications 58, 521–527 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Jiang, Y., Tang, Y., Chen, Q., Liu, H., Tang, J.: Interval-valued intuitionistic fuzzy soft sets and their properties. Computers and Mathematics with Applications 60, 906–918 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  11. Maji, P.K., Roy, A.R.: An application of soft sets in a decision making problem. Computers and Mathematics with Applications 44, 1077–1083 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  12. Feng, F., Jun, Y.B., Liu, X., Li, L.: An adjustable approach to fuzzy soft set based decision making. Journal of Computational and Applied Mathematics 234, 10–20 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  13. Feng, F., Li, Y., Leoreanu-Fotea, V.: Application of level soft sets in decision making based on interval-valued fuzzy soft sets. Computers and Mathematics with Applications 60, 1756–1767 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Jiang, Y., Tang, Y., Chen, Q.: An adjustable approach to intuitionistic fuzzy soft sets based decision making. Applied Mathematical Modelling 35, 824–836 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  15. Xiao, Z., Gong, K., Zou, Y.: A combined forecasting approach based on fuzzy soft sets. Journal of Computational and Applied Mathematics 228, 326–333 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  16. Herawan, T., Mat Deris, M.: A soft set approach for association rules mining. Knowledge-Based Systems 24, 186–195 (2011)

    Article  MATH  Google Scholar 

  17. Zou, Y., Xiao, Z.: Data analysis approaches of soft sets under incomplete information. Knowledge-Based Systems 21, 941–945 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Qin, H., Ma, X., Herawan, T., Zain, J.M. (2011). Data Filling Approach of Soft Sets under Incomplete Information. In: Nguyen, N.T., Kim, CG., Janiak, A. (eds) Intelligent Information and Database Systems. ACIIDS 2011. Lecture Notes in Computer Science(), vol 6592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20042-7_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-20042-7_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20041-0

  • Online ISBN: 978-3-642-20042-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics