Skip to main content

A New Approach to Intuitionistic Fuzzy Soft Sets and Its Application in Decision-Making

  • Conference paper
  • First Online:
Proceedings of the International Congress on Information and Communication Technology

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 439))

Abstract

Soft set theory (Comput Math Appl 44:1007–1083, 2002) is introduced recently as a model to handle uncertainty. Recently, characteristic functions for soft sets and hence operations on them using this approach were introduced in (Comput Math Appl 45:555–562, 2003). Following this approach, in this paper we redefine intuitionistic fuzzy soft sets (IFSS) and define operations on them. We also present an application of IFSS in decision-making which substantially improve and is more realistic than the algorithms proposed earlier by several authors.

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. Zadeh L.A.: “Fuzzy sets”, Information and Control, 8, (1965), pp. 338–353.

    Google Scholar 

  2. Molodtsov D.: “Soft Set Theory—First Results”, Computers and Mathematics with Applications, 37, (1999), pp. 19–31.

    Google Scholar 

  3. Maji P.K, Biswas R and Roy A.R: An Application of Soft Sets in a Decision Making Problem”, Computers and Mathematics with Applications, 44, (2002), pp. 1007–1083.

    Google Scholar 

  4. Maji P.K., Biswas R. and Roy A.R.: “Soft Set Theory”, Computers and Mathematics with Applications, 45, (2003), pp. 555–562.

    Google Scholar 

  5. Maji P.K., Biswas R. and Roy A.R.: “Fuzzy Soft Sets”, Journal of Fuzzy Mathematics, 9(3), (2001), pp. 589–602.

    Google Scholar 

  6. Tripathy B.K., Arun K.R, “A New Approach to Soft Sets, Soft Multisets and Their Properties”, International Journal of Reasoning-based Intelligent Systems, Vol. 7, no. 3/4, 2015, pp. 244–253.

    Google Scholar 

  7. Tripathy B.K, Sooraj.T.R, Mohanty, “A New Approach to Fuzzy soft set theory and its applications in decision making” accepted for presentation at ICCIDM2015.

    Google Scholar 

  8. Atanassov K.: “Intuitionistic Fuzzy Sets”, Fuzzy Set Systems, Vol. 20, (1986), pp. 87–96.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. K. Tripathy .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media Singapore

About this paper

Cite this paper

Tripathy, B.K., Mohanty, R.K., Sooraj, T.R., Arun, K.R. (2016). A New Approach to Intuitionistic Fuzzy Soft Sets and Its Application in Decision-Making. In: Satapathy, S., Bhatt, Y., Joshi, A., Mishra, D. (eds) Proceedings of the International Congress on Information and Communication Technology. Advances in Intelligent Systems and Computing, vol 439. Springer, Singapore. https://doi.org/10.1007/978-981-10-0755-2_11

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-0755-2_11

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0754-5

  • Online ISBN: 978-981-10-0755-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics