Abstract
Molodtsov proposed a completely new approach to modelling uncertainty. This approach is called the soft set theory. Many applications of soft set theory have been developed by combining with a fuzzy set idea. In the present study, for the medical decision-making, the proposed technique related to the fuzzy soft set by Celik–Yamak through Sanchez’s method was used. The real dataset which is called Cleveland heart disease dataset was used in this problem.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs13370-019-00741-9/MediaObjects/13370_2019_741_Fig1_HTML.png)
Similar content being viewed by others
References
Broumi, S., Smarandache, F., Dhar, M.: On fuzzy soft matrix based on reference function. I.J. Inf. Eng. Electron. Bus. 5(2), 52–59 (2013). https://doi.org/10.5815/ijieeb.2013.02.08
Broumi, S., Majumdar, P., Smarandache, F.: New operations on intuitionistic fuzzy soft sets based on second Zadeh’s logical operators. I.J. Inf. Eng. Electron. Bus. 6(1), 25–31 (2014). https://doi.org/10.5815/ijieeb.2014.01.03
Çelik, Y., Yamak, S.: Fuzzy soft set theory applied to medical diagnosis using fuzzy arithmetic operations. J. Inequal. Appl. 2013, 82 (2013). https://doi.org/10.1186/1029-242X-2013-82
Kirişci, M.: Integrated and differentiated spaces of triangular fuzzy numbers. Fas. Math. 59, 75–89 (2017). https://doi.org/10.1515/fascmath-2017-0018
Maji, P.K., Bismas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9(3), 677–692 (2001)
Maji, P.K., Roy, A.R., Biswas, R.: An application of soft sets in a decision making problem. Comput. Math. Appl. 44, 1077–1083 (2002)
Maji, P.K., Bismas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555–562 (2003)
Molodtsov, D.: Soft set theory-first results. Comput. Math. Appl. 37, 19–31 (1999)
Roy, A.R., Maji, P.K.: A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 203, 412–418 (2007)
Sanchez, E.: Inverse of fuzzy relations, application to possibility distributions and medical diagnosis. Fuzzy Sets Syst. 2(1), 75–86 (1979)
UC Irvine Machine Learning Repository, Cleveland heart disease data details (online) (2010). https://archive.ics.uci.edu/ml/datasets/heart+disease. Accessed 9 Sep 2018
Zadeh, L.A.: Fuzzy sets. Inf. Comput. 8, 338–353 (1965)
Acknowledgements
I have benefited much from the constructive reports of the anonymous referees, and I am grateful for their valuable comments on the first draft on this paper, which improved the presentation and readability.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The author declares that he has no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Kirişci, M. A case study for medical decision making with the fuzzy soft sets. Afr. Mat. 31, 557–564 (2020). https://doi.org/10.1007/s13370-019-00741-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13370-019-00741-9
Keywords
- Cleveland dataset
- Decision making
- Defuzzification
- Fuzzy soft set
- Triangular fuzzy number
- Trapezoidal fuzzy number