Skip to main content
SpringerLink
Log in

Decision-Making Method Based on Fuzzy N-Soft Expert Sets

  • Research Article-Computer Engineering and Computer Science
  • Published:
Arabian Journal for Science and Engineering Aims and scope Submit manuscript

Abstract

In this paper, we develop two novel hybrid models, namely N-soft expert set model and fuzzy N-soft expert set model. An N-soft expert set model is the combination of N-soft sets with soft expert sets, and a fuzzy N-soft expert model studies the fuzziness of N-soft expert sets. Further, we illustrate our hybrid models with daily life examples involving uncertainties in data. Moreover, we describe some fundamental operations, including intersection, union, complement, OR and AND. Further, we discuss three practical applications of proposed methods in decision making from which third application is a real case study (that is, selection of a place for a telecommunication tower). Algorithms of our proposed models prove their effectiveness and validity. Finally, we present a comparative analysis of our proposed models with some existing models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  Google Scholar 

  2. Pawlak, Z.: Rough sets. Int. J. Comput. Inform. Sci. 11(5), 145–172 (1982)

    Article  Google Scholar 

  3. Molodtsov, D.A.: Soft set theory: first results. Comput. Math. Appl. 37(4–5), 19–31 (1999)

    Article  MathSciNet  Google Scholar 

  4. Feng, F.; Li, C.X.; Davvaz, B.; Ali, M.I.: Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft. Comput. 14(9), 899–911 (2010)

    Article  Google Scholar 

  5. Feng, F.; Li, Y.: Soft subsets and soft product operations. Inf. Sci. 232, 44–57 (2013)

    Article  MathSciNet  Google Scholar 

  6. Maji, P.K.; Biswas, R.; Roy, A.R.: Soft set theory. Comput. Math. Appl. 45(4–5), 555–562 (2003)

    Article  MathSciNet  Google Scholar 

  7. Ali, M.I.; Feng, F.; Liu, X.Y.; Min, W.K.; Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57(9), 1547–1553 (2009)

    Article  MathSciNet  Google Scholar 

  8. Maji, P.K.; Roy, A.R.; Biswas, R.: An application of soft sets in a decision-making problem. Comput. Math. Appl. 44(8), 1077–1083 (2002)

    Article  MathSciNet  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  10. Alkhazaleh, S.; Salleh, A.R.: Soft expert sets. Adv. Decis. Sci. 757868 (2011). https://doi.org/10.1155/2011/757868

  11. Alkhazaleh, S.; Salleh, A.R.: Fuzzy soft expert set and its application. Appl. Math. 5(09), 1349–1368 (2014)

    Article  Google Scholar 

  12. Adam, F.; Hassan, N.: Multi Q-fuzzy soft expert set and its application. J. Intell. Fuzzy Syst. 30(2), 943–950 (2016)

    Article  Google Scholar 

  13. Al-Qudah, Y.; Hassan, N.: Bipolar fuzzy soft expert set and its application in decision making. Int. J. Appl. Decis. Sci. 10(2), 175–191 (2017)

    Google Scholar 

  14. Arockiarani, I.; ArokiaLancy, A.A.: Multi criteria decision making problem with soft expert set. Int. J. Comput. Appl. 78(15), 1–4 (2013)

    Google Scholar 

  15. Bashir, M.; Salleh, A.R.: Fuzzy parameterized soft expert set. Abstr. Appl. Anal. 258361 (2012). https://doi.org/10.1155/2012/258361

  16. Hassan, N.; Alhazaymeh, K.: Vague soft expert set theory. AIP Conf. Proc. 1522(1), 953–958 (2013)

    Article  Google Scholar 

  17. Qayyum, A.; Abdullah, S.; Aslam, M.: Cubic soft expert sets and their application in decision making. J. Intell. Fuzzy Syst. 31(3), 1585–1596 (2016)

    Article  Google Scholar 

  18. Fatimah, F.; Rosadi, D.; Hakim, R.B.F.; Alcantud, J.C.R.: Probabilistic soft sets and dual probabilistic soft sets in decision-making. Neural Comput. Appl. 31(1), 397–407 (2019)

    Article  Google Scholar 

  19. Alkhazaleh, S.; Salleh, A.R.; Hassan, N.: Possibility fuzzy soft set. Adv. Decis. Sci. 479756 (2011). https://doi.org/10.1155/2011/479756

  20. Fatimah, F.; Rosadi, D.; Hakim, R.B.F.; Alcantud, J.C.R.: N-soft sets and their decision making algorithms. Soft. Comput. 22(12), 3829–3842 (2018)

    Article  Google Scholar 

  21. Ali, M.I.: A note on soft sets, rough soft sets and fuzzy soft sets. Appl. Soft Comput. 11(4), 3329–3332 (2011)

    Article  Google Scholar 

  22. Ma, X.; Liu, Q.; Zhan, J.: A survey of decision making methods based on certain hybrid soft set models. Artif. Intell. Rev. 47, 507–530 (2017)

    Article  Google Scholar 

  23. Meng, D.; Zhang, H.; Qin, K.: Soft rough fuzzy sets and soft fuzzy rough sets. Comput. Math. Appl. 12, 4635–4645 (2011)

    Article  MathSciNet  Google Scholar 

  24. Zou, Y.; Xiao, Z.: Data analysis approaches of soft sets under incomplete information. Knowl. Based Syst. 21(8), 941–945 (2008)

    Article  Google Scholar 

  25. Herawan, T.; Deris, M.M.: On Multi-soft Sets Construction in Information Systems, pp. 101–110. Springer, Berlin (2009)

    MATH  Google Scholar 

  26. Alcantud, J.C.R.; Laruelle, A.: Dis and approval voting: a characterization. Soc. Choice Welfare 43(1), 1–10 (2014)

    Article  MathSciNet  Google Scholar 

  27. Akram, M.; Ali, G.; Alcantud, J.C.R.: Hybrid multi-attribute decision-making model based on \((m, N)\)-soft rough sets. J. Intell. Fuzzy Syst. 36(6), 6325–6342 (2019)

    Article  Google Scholar 

  28. Akram, M.; Ali, G.; Alcantud, J.C.R.: New decision-making hybrid model: intuitionistic fuzzy N-soft rough sets. Soft. Comput. 23(20), 9853–9868 (2019)

    Article  Google Scholar 

  29. Akram, M.; Adeel, A.; Alcantud, J.C.R.: Group decision-making methods based on hesitant N-soft sets. Expert Syst. Appl. 115, 95–105 (2019)

    Article  Google Scholar 

  30. Ali, G.; Akram, M.; Koam, A.N.A.; Alcantud, J.C.R.: Parameter reductions of bipolar fuzzy soft sets with their decision-making algorithms. Symmetry 11(8), 949 (2019)

    Article  Google Scholar 

  31. Bashir, M.; Salleh, A.R.: Possibility fuzzy soft expert set. Open J. Appl. Sci. 12, 208–211 (2012)

    Article  Google Scholar 

  32. Broumi, S.; Smarandache, F.: Intuitionistic fuzzy soft expert sets and its application in decision making. J. New Theory 1, 89–105 (2015)

    Google Scholar 

  33. Garg, H.; Rani, D.: Some generalized complex intuitionistic fuzzy aggregation operators and their application to multicriteria decision-making process. Arab. J. Sci. Eng. 44(3), 2679–2698 (2019)

    Article  Google Scholar 

  34. Kaur, G.; Garg, H.: Generalized cubic intuitionistic fuzzy aggregation operators using t-norm operations and their applications to group decision-making process. Arab. J. Sci. Eng. 44(3), 2775–2794 (2019)

    Article  Google Scholar 

  35. Zhang, H.; Jia-Hua, D.; Yan, C.: Multi-attribute group decision-making methods based on Pythagorean fuzzy N-soft sets. IEEE Access 8, 62298–62309 (2020)

    Article  Google Scholar 

  36. Akram, M.; Adeel, A.; Alcantud, J.C.R.: Fuzzy N-soft sets: a novel model with applications. J. Intell. Fuzzy Syst. 35(4), 4757–4771 (2018)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Ghous Ali & Muhammad Akram

Authors
  1. Ghous Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Muhammad Akram
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ghous Ali.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ali, G., Akram, M. Decision-Making Method Based on Fuzzy N-Soft Expert Sets. Arab J Sci Eng 45, 10381–10400 (2020). https://doi.org/10.1007/s13369-020-04733-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13369-020-04733-x

Keywords

Search

Navigation