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Hesitant Fuzzy Soft Set Theory and Its Application in Decision Making

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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, 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 fuzzy sets. In this paper we redefined the hesitant fuzzy soft sets (HFSS) with the help of membership function. We also provide a decision making algorithm.

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  13. 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 

  14. 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, 50, pp. 365–375

    Google Scholar 

  15. 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, pp. 85–93.

    Google Scholar 

  16. 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, 509, 2017, pp. 3–10.

    Google Scholar 

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

    Google Scholar 

  18. B.K.Tripathy, Sooraj, T.R, RK Mohanty. “A New Approach to Interval-valued Fuzzy Soft Sets and its Application in Group Decision Making”, Proc. of Int. Conf. on Computer systems, Data Communication and Security, CDCS-2015, pp. 1–8.

    Google Scholar 

  19. B.K.Tripathy, RK Mohanty, Sooraj, T.R, “Application of Uncertainty Models in Bioinformatics”, Handbook of Research on Computational Intelligence Applications in Bioinformatics, Chapter - 9, Publisher: IGI Global, Editors: Sujata Dash, Bidyadhar Subudhi, 2016, pp. 169–182.

    Google Scholar 

  20. B.K.Tripathy, Sooraj, T.R, RK Mohanty and Arun K.R, “Parameter Reduction in Soft Set Models and Application in Decision Making”, Handbook of Research on Fuzzy and Rough Set Theory in Organizational Decision Making, Publisher: IGI Global, Editors: Arun Kumar Sangaiah., Xiao-Zhi Gao and Ajith Abraham, 2016, pp. 331–355.

    Google Scholar 

  21. 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 

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Correspondence to T. R. Sooraj .

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Sooraj, T.R., Mohanty, R.K., Tripathy, B.K. (2017). Hesitant Fuzzy Soft Set Theory 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_28

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  • DOI: https://doi.org/10.1007/978-981-10-3174-8_28

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  • Online ISBN: 978-981-10-3174-8

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