Skip to main content

Fuzzy Soft Set Decision Making Algorithms: Some Clarifications and Reinterpretations

  • Conference paper
  • First Online:
Advances in Artificial Intelligence (CAEPIA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9868))

Included in the following conference series:

Abstract

We do two things in relation with fuzzy soft set decision making in this paper. Both in the score-based and fuzzy choice values approaches to decision making, the modifications that account for the model with positive and negative attributes are put forward and discussed for the most common fuzzy negation. We also provide a reinterpretation of the fuzzy choice values solution in terms of choice values associated with fuzzy opportunity costs.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Zadeh, L.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bustince, H., Barrenechea, E., Pagola, M., Fernández, J., Xu, Z., Bedregal, B., Montero, J., Hagras, H., Herrera, F., De Baets, B.: A historical account of types of fuzzy sets and their relationships. IEEE Trans. Fuzzy Syst. 24, 179–194 (2016)

    Article  Google Scholar 

  3. Bustince, H., Barrenechea, E., Fernández, J., Pagola, M., Montero, J.: The origin of fuzzy extensions. In: Kacprzyk, J., Pedrycz, W. (eds.) Springer Handbook of Computational Intelligence, pp. 89–112. Springer, Berlin (2015)

    Chapter  Google Scholar 

  4. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  5. Atanassov, K.T.: More on intuitionistic fuzzy sets. Fuzzy Sets Syst. 33(1), 37–45 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  6. Bustince, H., Burillo, P.: Vague sets are intuitionistic fuzzy sets. Fuzzy Sets Syst. 79(3), 403–405 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  7. Castro, J., Quesada, F.J., Palomares, I., Martínez, L.: A consensus-driven group recommender system. Int. J. Intell. Syst. 30(8), 887–906 (2015)

    Article  Google Scholar 

  8. Alcantud, J.C.R., de Andrés Calle, R., Cascón, J.: A unifying model to measure consensus solutions in a society. Math. Comput. Model. 57(7–8), 1876–1883 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  9. Alcantud, J.C.R., de Andrés Calle, R.: A fuzzy viewpoint of consensus measures in social choice. In: Actas del XVII Congreso Español sobre Tecnologías y Lógica Fuzzy (ESTYLF 2014), pp. 87–92 (2014)

    Google Scholar 

  10. Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529–539 (2010)

    MATH  Google Scholar 

  11. Herrera, F., Martínez, L., Torra, V., Xu, Z.: Hesitant fuzzy sets: an emerging tool in decision making. Int. J. Intell. Syst. 29(6), 493–944 (2014)

    Article  Google Scholar 

  12. Rodríguez, R., Martínez, L., Torra, V., Xu, Z., Herrera, F.: Hesitant fuzzy sets: state of the art and future directions. Int. J. Intell. Syst. 29, 495–524 (2014)

    Article  Google Scholar 

  13. Xu, Z.: Hesitant fuzzy sets theory. Studies in Fuzziness and Soft Computing, vol. 314. Springer International Publishing, Switzerland (2014)

    Google Scholar 

  14. Alcantud, J.C.R., de Andrés Calle, R., Torrecillas, M.: Hesitant fuzzy worth: an innovative ranking methodology for hesitant fuzzy subsets. Appl. Soft Comput. 38, 232–243 (2016)

    Article  Google Scholar 

  15. Alcantud, J.C.R., de Andrés Calle, R.: A segment-based approach to the analysis of project evaluation problems by hesitant fuzzy sets. Int. J. Comput. Intell. Syst. 9(2), 325–339 (2016)

    Article  Google Scholar 

  16. Zhan, J., Zhu, K.: Reviews on decision making methods based on (fuzzy) soft sets and rough soft sets. J. Intell. Fuzzy Syst. 29, 1169–1176 (2015)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  18. Aktaş, H., Çağman, N.: Soft sets and soft groups. Inf. Sci. 177, 2726–2735 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  19. Alcantud, J.C.R.: Some formal relationships among soft sets, fuzzy sets, and their extensions. Int. J. Approx. Reason. 68, 45–53 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  20. Maji, P., Biswas, R., Roy, A.: Soft set theory. Comput. Math. Appl. 45, 555–562 (2003)

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  22. Alcantud, J.C.R., Santos-García, G., Hernández-Galilea, E.: Glaucoma diagnosis: a soft set based decision making procedure. In: Dorronsoro, B., Barrenechea, E., Troncoso, A., Baruque, B., Galar, M. (eds.) CAEPIA 2015. LNCS, vol. 9422, pp. 49–60. Springer, Heidelberg (2015). doi:10.1007/978-3-319-24598-0_5

    Chapter  Google Scholar 

  23. Li, Z., Wen, G., Xie, N.: An approach to fuzzy soft sets in decision making based on grey relational analysis and Dempster-Shafer theory of evidence: an application in medical diagnosis. Artif. Intell. Med. 64(3), 161–171 (2015)

    Article  Google Scholar 

  24. Tang, H.: A novel fuzzy soft set approach in decision making based on grey relational analysis and Dempster-Shafer theory of evidence. Appl. Soft Comput. 31, 317–325 (2015)

    Article  Google Scholar 

  25. Alcantud, J.C.R., Santos-García, G.: Incomplete soft sets: new solutions for decision making problems. In: Bucciarelli, E., Silvestri, M., González, S.R. (eds.) Decision Economics, In Commemoration of the Birth Centennial of Herbert A. Simon 1916-2016 (Nobel Prize in Economics 1978). AISC, vol. 475, pp. 9–17. Springer, Heidelberg (2016). doi:10.1007/978-3-319-40111-9_2

    Chapter  Google Scholar 

  26. Han, B.H., Li, Y., Liu, J., Geng, S., Li, H.: Elicitation criterions for restricted intersection of two incomplete soft sets. Knowl.-Based Syst. 59, 121–131 (2014)

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  29. Alcantud, J.C.R.: A novel algorithm for fuzzy soft set based decision making from multiobserver input parameter data set. Inf. Fusion 29, 142–148 (2016)

    Article  Google Scholar 

  30. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice-Hall Inc., Upper Saddle River (1995)

    MATH  Google Scholar 

  31. Kong, Z., Gao, L., Wang, L.: Comment on “A fuzzy soft set theoretic approach to decision making problems”. J. Comput. Appl. Math. 223, 540–542 (2009)

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  33. Çağman, N., Enginoğlu, S.: Soft set theory and uni-int decision making. Eur. J. Oper. Res. 207(2), 848–855 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  34. Feng, Q., Zhou, Y.: Soft discernibility matrix and its applications in decision making. Appl. Soft Comput. 24, 749–756 (2014)

    Article  Google Scholar 

  35. Feng, F., Jun, Y., Liu, X., Li, L.: An adjustable approach to fuzzy soft set based decision making. J. Comput. Appl. Math. 234, 10–20 (2010)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to José Carlos R. Alcantud .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Alcantud, J.C.R. (2016). Fuzzy Soft Set Decision Making Algorithms: Some Clarifications and Reinterpretations. In: Luaces , O., et al. Advances in Artificial Intelligence. CAEPIA 2016. Lecture Notes in Computer Science(), vol 9868. Springer, Cham. https://doi.org/10.1007/978-3-319-44636-3_45

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-44636-3_45

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44635-6

  • Online ISBN: 978-3-319-44636-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics