Skip to main content

Intuitionistic Hesitant Fuzzy Soft Set and Its Application in Decision Making

  • Conference paper
  • First Online:
Artificial Intelligence and Evolutionary Computations in Engineering Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 517))

Abstract

There are several models of uncertainty found in the literature like fuzzy set, rough set, intuitionistic fuzzy set, soft set, and hesitant fuzzy set. Also, several hybrid models have come up as a combination of these models and have been found to be more useful than the individual models. In everyday life we make many decisions. Making efficient decisions under uncertainty needs better techniques. Many such techniques have been developed in the recent past. These techniques involve soft sets and intuitionistic fuzzy sets. It is well known that intuitionistic hesitant fuzzy sets are more general than intuitionistic fuzzy sets. In this paper, we define intuitionistic hesitant fuzzy soft sets (IHFSS) and we also propose a decision making technique, which extends some of the recently developed algorithms. We also provide an application from real-life situations, which illustrates the working of the algorithm and its efficiency over the other algorithms.

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 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
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. L.A. Zadeh, “Fuzzy sets”, Information and Control, vol. 8, 1965, pp. 338–353.

    Google Scholar 

  2. D. Molodtsov, “Soft Set Theory - First Results”, Computers and Mathematics with Applications, vol. 37, 1999, pp. 19–31.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  6. B.K. Tripathy and K.R. Arun, “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. B.K. Tripathy, Sooraj, T.R., RK Mohanty, “A new approach to fuzzy soft set and its application in decision making”, Advances in intelligent systems and computing, vol. 411, 2016, pp. 305–313.

    Google Scholar 

  8. K. Atanassov, “Intuitionistic Fuzzy Sets”, Fuzzy Set Systems, vol. 20, 1986, pp. 87–96.

    Google Scholar 

  9. Y. Jiang, Y. Tang, Q. Chen, H. Liu, J. Tang, “Interval-valued intuitionistic fuzzy soft sets and their properties”, Computers and Mathematics with Applications, vol. 60, 2010, pp. 906–918.

    Google Scholar 

  10. B.K. Tripathy, RK Mohanty, Sooraj T.R., K.R. Arun, “A New Approach to Intuitionistic Fuzzy Soft Sets and its Application in Decision-Making”, Advances in Intelligent Systems and Computing, vol. 439, 2016, pp. 93–100.

    Google Scholar 

  11. Sooraj T.R., RK Mohanty, B.K. Tripathy, “Fuzzy Soft Set Theory and its Application in Group Decision Making”, Advances in Intelligent Systems and Computing, vol. 452, 2016, pp. 171–178.

    Google Scholar 

  12. B.K. Tripathy, Sooraj T.R., RK Mohanty, “Advances Decision Making Usisng Hybrid Soft Set Models”, International Journal of Pharmacy and Technology, vol. 8(3), 2016, pp. 17694–17721.

    Google Scholar 

  13. B.K. Tripathy, RK Mohanty, T.R. Sooraj, “On Intuitionistic Fuzzy Soft Sets and Their Application in Decision-Making”, Lecture Notes in Electrical Engineering, vol. 396, 2016, pp. 67–73.

    Google Scholar 

  14. B.K. Tripathy, RK Mohanty, Sooraj T.R., “On Intuitionistic Fuzzy Soft Set and its Application in Group Decision Making”, In: Proceedings of the International Conference on Emerging Trends in Engineering, Technology and Science (ICETETS), Pudukkottai, 2016, pp. 1–5.

    Google Scholar 

  15. B.K Tripathy, RK Mohanty, Sooraj T.R., A. Tripathy, “A Modified Representation of IFSS and Its Usage in GDM”, Smart Innovation, Systems and Technologies, Vol. 50, 2016, pp. 365–375.

    Google Scholar 

  16. RK Mohanty, Sooraj T.R., B.K. Tripathy, “An application of IVIFSS in medical diagnosis decision making”, International Journal of Applied Engineering Research, vol. 10(92), pp. 85–93.

    Google Scholar 

  17. B.K. Tripathy, Sooraj T.R., RK Mohanty, “A New Approach to Interval-valued Fuzzy Soft Sets and its Application in Decision-Making”, Advances in Intelligent Systems and Computing, Vol. 509, 2017, pp. 3–10.

    Google Scholar 

  18. RK Mohanty, Sooraj T.R., B.K Tripathy, “IVIFS and Decision-Making”, Advances in Intelligent Systems and Computing, Vol. 468, 2017, pp. 319–330.

    Google Scholar 

  19. Torra V, Hesitant fuzzy sets and decision, International Journal of Intelligent Systems 25 (6), 2010, pp. 395–407.

    Google Scholar 

  20. Torra V, Narukawa Y, On hesitant fuzzy sets and decision, The 18th IEEE international conference on Fuzzy Systems, Jeju Island, Korea, 2009, pp. 1378–1382.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. K. Mohanty .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this paper

Cite this paper

Mohanty, R.K., Tripathy, B.K. (2017). Intuitionistic Hesitant Fuzzy Soft Set and Its Application in Decision Making. In: Dash, S., Vijayakumar, K., Panigrahi, B., Das, S. (eds) Artificial Intelligence and Evolutionary Computations in Engineering Systems. Advances in Intelligent Systems and Computing, vol 517. Springer, Singapore. https://doi.org/10.1007/978-981-10-3174-8_20

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-3174-8_20

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3173-1

  • Online ISBN: 978-981-10-3174-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics