Skip to main content
Log in

Novel intuitionistic fuzzy soft multiple-attribute decision-making methods

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

An intuitionistic fuzzy soft set plays a significant role as a mathematical tool for mathematical modeling, system analysis and decision making. This mathematical tool gives more precision, flexibility and compatibility to the system when compared to systems that are designed using fuzzy graphs and fuzzy soft graphs. In this paper, we use intuitionistic fuzzy soft graphs and possibility intuitionistic fuzzy soft graphs for parameterized representation of a system involving some uncertainty. We present novel multiple-attribute decision-making methods based on an intuitionistic fuzzy soft graph and possibility intuitionistic fuzzy soft graph. We also present our methods as algorithms that are used in our applications.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Akram M, Ashraf A, Sarwar M (2014) Novel applications of intuitionistic fuzzy digraphs in decision support systems. Sci World J 2014:11

    Google Scholar 

  2. Akram M, Davvaz B (2012) Strong intuitionistic fuzzy graphs. Filomat 26(1):177–196

    Article  MathSciNet  MATH  Google Scholar 

  3. Akram M, Dudek WA (2013) Intuitionistic fuzzy hypergraphs with applications. Inf Sci 218:182–193

    Article  MathSciNet  MATH  Google Scholar 

  4. Akram M, Nawaz S (2015) On fuzzy soft graphs. Ital J Pure Appl Math 34:497–514

    MathSciNet  MATH  Google Scholar 

  5. Akram M, Nawaz S (2016) Fuzzy soft graphs with applications. J Intell Fuzzy Syst 30(6):3619–3632

    Article  MATH  Google Scholar 

  6. Atanassov KT (2012) Intuitionistic fuzzy sets: theory and applications. In: Studies in fuzziness and soft computing. Physica, Heidelberg

  7. Atanassov KT (1983) Intuitionistic fuzzy sets, VII ITKR’s Session, Deposed in Central for Science-Technical Library of Bulgarian Academy of Sciences, 1697/84, Sofia, Bulgaria (Bulgarian)

  8. Bashir M, Salleh AR, Alkhazaleh S (2012) Possibility intuitionistic fuzzy soft set. Adv Decis Sci 2012:1–24. doi:10.1155/2012/404325

    Article  MathSciNet  MATH  Google Scholar 

  9. Cagman N, Karatas S (2013) Intuitionistic fuzzy soft set theory and its decision making. J Intell Fuzzy Syst 24(4):829–836

    MathSciNet  MATH  Google Scholar 

  10. Deli I, Cagman N (2015) Intuitionistic fuzzy parameterized soft set theory and its decision making. Appl Soft Comput 28(4):109–113

    Article  Google Scholar 

  11. Feng F, Jun YB, Liu XY, Li LF (2010) An adjustable approach to fuzzy soft set based decision making. J Comput Appl Math 234:10–20

    Article  MathSciNet  MATH  Google Scholar 

  12. Feng F, Akram M, Davvaz B, Fotea VL (2014) Attribute analysis of information systems based on elementary soft implications. Knowl Based Syst 70:281–292

    Article  Google Scholar 

  13. Kauffman A (1973) Introduction to la Theorie des Sous-emsembles Flous. Masson et Cie, vol 1

  14. Maji PK, Roy AR, Biswas R (2001) Fuzzy soft sets. J Fuzzy Math 9(3):589–602

    MathSciNet  MATH  Google Scholar 

  15. Maji PK, Biswas R, Roy AR (2001) Intuitionistic fuzzy soft sets. J Fuzzy Math 9(3):677–691

    MathSciNet  MATH  Google Scholar 

  16. Mordeson JN, Nair PS (1998) Fuzzy graphs and fuzzy hypergraphs. Physica Verlag, Heidelberg. Second Edition 2001

  17. Molodtsov DA (1999) Soft set theory-first results. Comput Math Appl 37:19–31

    Article  MathSciNet  MATH  Google Scholar 

  18. Qin J, Liu X, Pedrycz W (2015) Hesitant fuzzy maclaurin symmetric mean operators and its application to multiple-attribute decision making. Int J Fuzzy Syst 17(4):509–520

    Article  MathSciNet  Google Scholar 

  19. Rao RV (2006) A decision-making framework model for evaluating flexible manufacturing systems using digraph and matrix methods. Int J Adv Manuf Technol 30(11–12):1101–1110

    Article  Google Scholar 

  20. Roy AR, Maji PK (2007) A fuzzy soft set theoretic approach to decision making problems. J Comput Appl Math 203:412–418

    Article  MATH  Google Scholar 

  21. Rosenfeld A (1975) Fuzzy sets and their applications. In: Zadeh LA, Fu KS, Tanaka K, Shimura M (eds) Fuzzy graphs. Academic Press, New York, pp 77–95

    Google Scholar 

  22. Shahzadi S, Akram M (2016) Edge regular intuitionistic fuzzy soft graphs. J Intell Fuzzy Syst. doi:10.3233/JIFS-16120

    MATH  Google Scholar 

  23. Singh PK, Kumar ChA (2014) Bipolar fuzzy graph representation of concept lattice. Inf Sci 288:437–448

    Article  MathSciNet  MATH  Google Scholar 

  24. Xu ZS (2004) Uncertain multiple attribute decision making, methods and applications. Tsinghua University Press, Beijing

    Google Scholar 

  25. Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  MATH  Google Scholar 

  26. Zadeh LA (1971) Similarity relations and fuzzy orderings. Inf Sci 3(2):177–200

    Article  MathSciNet  MATH  Google Scholar 

  27. Zhu J, Zhan J (2015) Fuzzy parameterized fuzzy soft sets and decision making. Int J Mach Learn Cyber 1–6. doi:10.1007/s13042-015-0449-z

Download references

Acknowledgments

The authors are thankful to Editor-in-Chief, Professor John MacIntyre and the referees for their valuable comments and suggestions for improving the quality of our paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Muhammad Akram.

Ethics declarations

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this article.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Akram, M., Shahzadi, S. Novel intuitionistic fuzzy soft multiple-attribute decision-making methods. Neural Comput & Applic 29, 435–447 (2018). https://doi.org/10.1007/s00521-016-2543-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-016-2543-x

Keywords

Navigation