Belirsizlik problemlerine yönelik yeni bir matematiksel yaklaşım: VFPIFS-küme
Bu çalışma da belirsizlik problemlerine yönelik önerilen bulanık parametreli sezgisel bulanık esnek (kısaca FPIFS-) kümelerin bir genellemesi olan sanal bulanık parametreli sezgisel bulanık esnek (kısaca VFPIFS-) küme teorisi verilmiştir ve bazı önemli özellikleri incelenmiştir. Ayrıca bir belirsizlik problemi örneklendirilerek VFPIFS-kümeler için bir karar verme yaklaşımı verilerek en iyi nesnenin seçimi yapılmıştır. Son olarak her iki matematiksel model için bir karşılaştırmalı analiz yapılmıştır.
A novel mathematical approach to uncertainty problems: VFPIFS-set
In this paper, fuzzy parametrized intuitionistic fuzzy soft (briefly FPIFS-) set theory, which is a generalization of virtual fuzzy parametrized intuitionistic fuzzy soft (briefly VFPIFS-) sets proposed for uncertainty problems, is given and some important properties of it are examined. In addition, an uncertainty problem was exemplified and the best object was selected by giving a decision-making approach for VFPIFS-sets. Finally, a comparative analysis was done for both mathematical models.
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- Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1), 87–96.
- Çağman, N., Cıtak, F., & Enginoğlu, S. (2010). Fuzzy parameterized fuzzy soft set theory and ıts applications. Turkish Journal of Fuzzy Systems 1(1), 21–35.
- Çağman, N., Cıtak, F., & Enginoğlu, S. (2011). FP-soft set theory and ıts applications. Annals of Fuzzy Mathematics and Informatics 2(2), 219–226.
- Dalkılıç, O. (2020). An application of VFPFSS’s in decision making problems. Journal of Polytechnic, https://doi.org/10.2339/politeknik.758474.
- Dalkılıç, O., & Demirtas, N. (2020). VFP-soft sets and ıts application on decision making problems. Journal of Polytechnic, https://doi.org/10.2339/politeknik.685634.
- Deli, I., & Çağman, N. (2016). Application of soft sets in decision making based on game theory. Annuals of Fuzzy Mathematics and Informatics, 11(3), 425-438.
- Demirtaş, N., & Dalkılıç O. (2019). An application in the diagnosis of prostate cancer with the help of bipolar soft rough sets, On Mathematics and Mathematics Education (ICMME 2019), KONYA, 283.
- Demirtaş N., Hussaın, S., & Dalkılıç, O. (2020). New approaches of inverse soft rough sets and their applications in a decision making problem. Journal of Applied Mathematics and Informatics, 38(3-4) 335-349.
- Irkin, R., Ozgur, N.Y., & Tas, N. (2018). Optimization of lactic acid bacteria viability using fuzzy soft set modelling. An International Journal of Optimization and Control: Theories and Applications, 8(2) 266-275.
- Kalaichelvi, A., & Malini, P.H. (2011). Application of fuzzy soft sets to investment decision making problem. International Journal of Mathematical Sciences and Applications, 1(3) 1583-1586.
- Karaca, F. & Taş, N. (2018). Decision making problem for life and non-life insurances. Journal of Balıkesir University Institute of Science and Technology, 20(1) 572-588.
- Maji, P. K., Biswas, R., & Roy, A. R. (2001a). Fuzzy soft sets. Journal of Fuzzy Mathematics 9(3), 589–602.
- Maji, P. K., Biswas, R., & Roy, A. R. (2001b). Intuitionistic fuzzy soft sets. The Journal of Fuzzy Mathematics 9(3), 677–692.
- Molodtsov, D. A. (1999). Soft Set Theory–First Results. Computers and Mathematics with Applications 37(4–5), 19–31.
- Nihal, T., Özgür, N.Y., & Demir, P. (2017). An application of soft set and fuzzy soft set theories to stock management. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(3) 791-796.
- Özgür, N.Y., & Nihal, T. (2015). A note on application of fuzzy soft sets to investment decision making problem. Journal of New Theory, (7) 1-10.
- Saeed M., Ahmad M.R., Saqlain M., & Riaz, M. (2020). Rudiments N-framed soft sets. Punjab University Journal of Mathematics, 52(5) 15-30.
- Selvakumari, K. (2018). Solving game problem using weighted soft sets. Journal of Computer and Mathematical Sciences, 9(10) 1307-1311.
- Sulukan, E., Çağman, N., & Aydın, T. (2019). Fuzzy parameterized intuitionistic fuzzy soft sets and their application to a performance-based value assignment problem. Journal of New Theory, (29), 79-88.
- Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338-353.
- Zou, Y., & Xiao, Z. (2008). Data analysis approaches of soft sets under incomplete information. Knowledge-Based Systems, 21, 941–945. https://doi.org/10.1016/j.knosys.2008.04.004