Advertisement

Improved Decision Making Through IFSS

  • T. R. SoorajEmail author
  • R. K. Mohanty
  • B. K. Tripathy
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 77)

Abstract

Decision making has become a common feature in day-to-day activities. Uncertainty-based models are more efficient in handling such problems. In this chapter, we propose an algorithm in this direction by using a hybrid model formed by combining the two models of soft set (SS) and the intuitionistic fuzzy set (IFS). We follow the characteristic function approach used by Tripathy et al. for the purpose. The illustrative real-life example shows the efficiency of our algorithm over other such models.

Keywords

SS Fuzzy set IFS Decision making 

References

  1. 1.
    Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Set Syst. 20, 87–96 (1986)CrossRefGoogle Scholar
  2. 2.
    Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9(3), 589–602 (2001)MathSciNetzbMATHGoogle Scholar
  3. 3.
    Maji, P.K., Biswas, R., Roy, A.R.: An application of soft sets in a decision making problem. Comput. Math. Appl. 44, 1007–1083 (2002)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555–562 (2003)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Mohanty, R.K., Sooraj, T.R., Tripathy, B.K.: An application of IVIFSS in medical diagnosis decision making. Int. J. Appl. Eng. Res. (IJAER) 10(92), 85–93 (2016)Google Scholar
  6. 6.
    Mohanty, R.K., Sooraj, T.R., Tripathy, B.K.: IVIFS and decision-making. Adv. Intell. Syst. Comput. 468, 319–330 (2017)Google Scholar
  7. 7.
    Molodtsov, D.: Soft set theory—first results. Comput. Math Appl. 37, 19–31 (1999)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Narayanan, S.J., Bhatt, R.B., Paramasivam, I., Khalid, M., Tripathy, B.K.: Induction of fuzzy decision trees and its refinement using gradient projected-neuro-fuzzy decision tree. Int. J. Adv. Intell. Paradig. 6, 346–369 (2014)CrossRefGoogle Scholar
  9. 9.
    Sooraj, T.R., Mohanty, R.K., Tripathy, B.K.: Fuzzy soft set theory and its application in group decision making. Adv. Intell. Syst. Comput. 452, 171–178 (2016)Google Scholar
  10. 10.
    Sooraj, T.R., Tripathy, B.K.: Interval valued hesitant fuzzy soft sets and its application in stock market analysis. Adv. Intell. Syst. Comput. 517, 755–764 (2017)Google Scholar
  11. 11.
    Sooraj, T.R., Mohanty, R.K., Tripathy, B.K.: Hesitant fuzzy soft set theory and its application in decision making. Adv. Intell. Syst. Comput. 517, 315–322 (2017)Google Scholar
  12. 12.
    Tripathy, B.K., Arun, K.R.: A new approach to soft sets, soft multisets and their properties. Int. J. Reason. Based Intell. Syst. 7(3/4), 244–253 (2015)MathSciNetGoogle Scholar
  13. 13.
    Tripathy, B.K., Sooraj, T.R., Mohanty, R.K.: Advances decision making usisng hybrid soft set models. Int. J. Pharm. Technol. 8(3), 17694–17721 (2016)Google Scholar
  14. 14.
    Tripathy, B.K., Sooraj, T.R., Mohanty, R.K., Parida, S.Ch.: Rough multisets and their properties. Int. J. Sci. Innov. Math. Res. 3(2), 690–694 (2015)Google Scholar
  15. 15.
    Tripathy, B.K., Sooraj, T.R., Mohanty, R.K.: A new approach to fuzzy soft set theory and its application in decision making. Adv. Intell. Syst. Comput. 411, 305–313 (2016)Google Scholar
  16. 16.
    Tripathy, B.K., Mohanty, R.K., Sooraj, T.R., Arun, K.R.: A new approach to intuitionistic fuzzy soft sets and its application in decision-making. Adv. Intell. Syst. Comput. 439, 93–100 (2016)Google Scholar
  17. 17.
    Tripathy, B.K., Mohanty, R.K., Sooraj, T.R., Tripathy, A.: A modified representation of IFSS and its usage in GDM. Smart Innov. Syst. Technol. 50, 365–375 (2016)CrossRefGoogle Scholar
  18. 18.
    Tripathy, B.K., Mohanty, R.K., Sooraj, T.R.: On intuitionistic fuzzy soft sets and their application in decision-making. Lect. Notes Electr. Eng. 396, 67–73 (2016)Google Scholar
  19. 19.
    Tripathy, B.K., Sooraj, T.R., Mohanty, R.K.: A new approach to interval-valued fuzzy soft sets and its application in decision-making. Adv. Intell. Syst. Comput. 509, 3–10 (2017)Google Scholar
  20. 20.
    Tripathy,B.K., Sooraj, T.R, Mohanty, RK: A new approach to interval-valued fuzzy soft sets and its application in group decision making. In: Proceedings of International Conference on Computer systems, Data Communication and Security, CDCS-2015, Kochi, pp. 1–8Google Scholar
  21. 21.
    Tripathy, B.K., Mohanty, RK, Sooraj, T.R.: On intuitionistic fuzzy soft set and its application in group decision making. In: Proceedings of ICETETS-2016, pp. 1–5 (2016). doi: https://doi.org/10.1109/ICETETS.2016.7603002
  22. 22.
    Tripathy, B.K., Mohanty, R.K., Sooraj, T.R.: Application of uncertainty models in bioinformatics. In: Dash, S., Subudhi, B. (eds.) Handbook of Research on Computational Intelligence Applications in Bioinformatics, Chapter-9, pp. 169–182. IGI Global, Hershey (2016)CrossRefGoogle Scholar
  23. 23.
    Tripathy, B.K., Sooraj, T.R., Mohanty, R.K., Arun, K.R.: Parameter reduction in soft set models and application in decision making. In: Sangaiah, A.K., Gao, X.-Z., Abraham, A. (eds.) Handbook of Research on Fuzzy and Rough Set Theory in Organizational Decision Making, pp. 331–354. IGI Global, Hershey (2016). doi: https://doi.org/10.4018/978-1-5225-1008-6CrossRefGoogle Scholar
  24. 24.
    Tripathy, B.K.: Rough sets on intuitionistic fuzzy approximation spaces. In: IEEE Intelligent Systems, UK, pp. 776–779 (2006)Google Scholar
  25. 25.
    Tripathy, B.K.: Rough sets on fuzzy approximation spaces and intuitionistic fuzzy approximation spaces. Stud. Comput. Intell. 174, 3–44 (2009)Google Scholar
  26. 26.
    Tripathy, B.K., Satapathy, M.K., Choudhury, P.K.: Intuitionistic fuzzy lattices and intuitionistic fuzzy boolean algebras. Int. J. Eng. Technol. 5(3), 2352–2361 (2013)Google Scholar
  27. 27.
    Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • T. R. Sooraj
    • 1
    Email author
  • R. K. Mohanty
    • 1
  • B. K. Tripathy
    • 1
  1. 1.SCOPEVIT UniversityVelloreIndia

Personalised recommendations