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A Method for Decision Making Problems by using Graph Representation of Soft Set Relations


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Abstract

Soft set theory, which was defined by D. Molodtsov, has a rich potential for applications in several fields of life. One of the successful application of the soft set theory is to construct new methods for Decision Making problems. In this study, we are introducing a method using graph representation of soft set relations to solve Decision Making problems. We have successfully applied this method to various examples.


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Pages

Total Pages: 7

DOI
10.31209/2018.100000006


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References

Acar, U., Koyuncu, F., & Tanay B. (2010). Soft sets and soft rings. Computer & Mathematics with Applications, 59, 3458-3463 https://doi.org/10.1016/j.camwa.2010.03.034

Aktas, H. & Çağman, (2007). N. Soft sets and soft groups. Information Sciences, 117, 2726-2735. https://doi.org/10.1016/j.ins.2006.12.008

Babitha, K.V. & Sunil, J.J. (2010). Soft set relations and functions, Computer & Mathematics with Applications, 60, 1840-1849. https://doi.org/10.1016/j.camwa.2010.07.014

Babitha, K.V. & Sunil, J.J. (2011). Transitive closures and ordering on soft sets. Computer & Mathematics with Applications, 62, 2235-2239. https://doi.org/10.1016/j.camwa.2011.07.010

Ballı, S. & Turker, M. (2017). A Fuzzy Multi-Criteria Decision Analysis Approach for the Evaluation of the Network Service Providers in Turkey. Intelligent Automation & Soft Computing, 1-7. https://doi.org/10.1080/10798587.2017.1306968

Çağman, N. & Enginoğlu E. (2010). Soft matrix theory and its decision making. Computer & Mathematics with Applications, 59, 3308-3314. https://doi.org/10.1016/j.camwa.2010.03.015

Dauda, M.K., Aliyu I., & Ibrahim A. M. (2013). Partial Ordering in Soft Set Context. Mathematical Theory and Modeling, 3, No.8.

Grimaldi, R. P. (2004) Discrete and Combinatorial Mathematics (an Applied Introduction), United States of America, Addison-Wesley, Fifth Edition.

Gunduz, C. & Bayramov, S. (2011a). Fuzzy soft modules. International Mathematical Forum, 6, No.11, 517-527.

Gunduz, (Aras) C. & Bayramov, S. (2011b). Intuitionistic fuzzy soft modules. Computer & Mathematics with Applications, 62, 2480-2486.

Ibrahim, A.M., Dauda, M.K., & Singh, D. (2012). Composition of soft set relations and construction of transitive closure. Mathematical Theory and Modeling, 2 No.7.

Jiang, Y., Liu, H., Tang, Y., & Chen Q. (2011). Semantic decision making using ontology-based soft sets, Mathematical and Computer Modelling, 53, 1140-1149. https://doi.org/10.1016/j.mcm.2010.11.080

Maji, P.K., Biswas, R., & Roy, A.R. (2003). Soft set theory. Computers and Mathematics with Applications, 45, 555-562. https://doi.org/10.1016/S0898-1221(03)00016-6

Molodtsov, D. (1999). Soft Set Theory-First Result. Computers and Mathematics with Applications, 37, 19-31. https://doi.org/10.1016/S0898-1221(99)00056-5

Ozturk, T.Y., Gunduz, C.A., & Bayramov S. (2013). Inverse and direct systems of soft modules. Annals of Fuzzy Mathematics and Informatics, 5, No.1, 73-85.

Park, J.H., Kim, O.H., & Kwun, Y.C. (2012). Some properties of equivalence soft set relations. Computers & Mathematics with Applications 63, 6, 1079-1088. https://doi.org/10.1016/j.camwa.2011.12.013

Tanay, B. & Yaylalı, G. (2015). A Method for Decision Making by Using Soft Intervals. International Conference on Recent Advances in Pure and Applied Mathematics (Icrapam).

Wang, C. & Wang, J. (2016). A multi-criteria decision-making method based on triangular intuitionistic fuzzy preference information. Intelligent Automation & Soft Computing, 22:3, 473-482. https://doi.org/10.1080/10798587.2015.1095418

Yang, H. & Guo, Z. (2011). Kernels and closures of soft set relations and soft set relation mappings. Computers and Mathematics with Applications, 61, 651-662. https://doi.org/10.1016/j.camwa.2010.12.011

Zeinalova, L.M. (2014). Expected Utility Based Decision Making Under Z-Information. Intelligent Automation & Soft Computing, 20:3, 420-431. https://doi.org/10.1080/10798587.2014.901650

Zhang, X. (2014). On Interval Soft Sets with Applications. International Journal of Computational Intelligence Systems, 7:1, 186-196. https://doi.org/10.1080/18756891.2013.862354

JOURNAL INFORMATION


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present




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