Skip to main content

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 404))

Abstract

Contribution of intuitionistic fuzzy soft set (IFSS) in uncertain real-life applications is inevitable. Computation with IFSS may be complicated by the use of less important parameters. However, there has been a little focus on parameter reduction of IFSSs. In this paper, we introduce two different parameter reduction algorithms in IFSSs to satisfy the different needs of decision makers. The first algorithm is based on selection of a set of parameters whose combined contribution is less important in the decision-making process. The second approach selects parameter(s) which has less deviation in comparison to the other parameters. Finally, the proposed algorithms have been demonstrated using illustrative numerical examples. This study also preserves the decision abilities while reducing the redundant parameters.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Molodtsov, D.: Soft set theory-first results. Comput. Math Appl. 37(4/5), 19–31 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  2. Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9(3), 589–602 (2001)

    MathSciNet  MATH  Google Scholar 

  3. Chen, D., Tsang, E.C.C., Yeung, D.S., Wang, X.: The parameterization reduction of soft sets and its applications. Comput. Math Appl. 49(5–6), 757–763 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Maji, P.K., Roy, A.R.: An application of soft sets in a decision making problem. Comput. Math Appl. 44, 1077–1083 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  5. Kong, Z., Gao, L., Wang, L., Li, S.: The normal parameter reduction of soft sets and its algorithm. Comput. Math Appl. 56(12), 3029–3037 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  6. Ma, X.Q., Sulaiman, N., Qin, H.W., Herawan, T., Zaino, J.M.: A new efficient normal parameter reduction algorithm of soft sets. Comput. Math Appl. 62(2), 588–598 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  7. Ma, X., Qin, H., Sulaiman, N., Herawan, T., Abawajy, J.H.: The parameter reduction of the interval-valued fuzzy soft sets and its related algorithms. IEEE Trans. Fuzzy Syst. 22(1), 57–71 (2014)

    Article  Google Scholar 

  8. Maji, P.K., Biswas, R., Roy, A.R.: Intuitionistic fuzzy soft sets. J. Fuzzy Math. 9(3), 677–692 (2001)

    MathSciNet  MATH  Google Scholar 

  9. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  10. Chen, S.M., Tan, J.M.: Handling multi criteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst. 67, 163–172 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  11. Hong, D.H., Choi, C.H.: Multi criteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst. 114, 103–113 (2000)

    Article  MATH  Google Scholar 

  12. Xu, Z.: Intuitionistic preference relations and their application in group decision making. Inf. Sci. 177, 2363–2379 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  13. Das, S., Kar, S.: Group decision making in medical system: an intuitionistic fuzzy soft set approach. Appl. Soft Comput. 24, 196–211 (2014)

    Article  Google Scholar 

  14. Das, S., Kar, S.: The hesitant fuzzy soft set and its application in decision making. In: International Conference on Facets of Uncertainties and Applications, Springer Proceedings in Mathematic and Statics, vol. 125, pp. 235–247 (2013)

    Google Scholar 

  15. Broumi, S., Smarandache, F.: New operations over interval valued intuitionistic hesitant fuzzy set. Math. Stat. 2(2), 62–71 (2014)

    Google Scholar 

  16. Wang, J.Q., Li, X.E., Chen, X.H.: Hesitant fuzzy soft sets with application in multicriteria group decision making problems. Sci. World J. (2015). Article ID 806983

    Google Scholar 

  17. Das, S., Kar, S., Pal, T.: Group decision making using interval-valued intuitionistic fuzzy soft matrix and confident weight of experts. J. Artif. Intell. Soft Comput. Res. 4(1), 57–77 (2014)

    Article  Google Scholar 

  18. Das, S., Kar, M.B., Pal, T., Kar, S.: Multiple attribute group decision making using interval-valued intuitionistic fuzzy soft matrix. In: Proceedings of IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 2222–2229. Beijing (2014). doi:10.1109/FUZZ-IEEE.2014.6891687

  19. Das, S., Kar, S.: Intuitionistic multi fuzzy soft set and its application in decision making. In: Maji, P. et al (eds.) Fifth International Conference on Pattern Recognition and Machine Intelligence (PReMI). Lecture Notes in Computer Science, 8251, pp. 587–592 (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sumonta Ghosh .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer India

About this paper

Cite this paper

Ghosh, S., Das, S. (2016). Parameter Reduction of Intuitionistic Fuzzy Soft Sets and Its Related Algorithms. In: Das, S., Pal, T., Kar, S., Satapathy, S., Mandal, J. (eds) Proceedings of the 4th International Conference on Frontiers in Intelligent Computing: Theory and Applications (FICTA) 2015. Advances in Intelligent Systems and Computing, vol 404. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2695-6_34

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-2695-6_34

  • Published:

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2693-2

  • Online ISBN: 978-81-322-2695-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics