Araştırma Makalesi
BibTex RIS Kaynak Göster

A novel mathematical approach to uncertainty problems: VFPIFS-set

Yıl 2022, , 614 - 623, 15.04.2022
https://doi.org/10.17714/gumusfenbil.870783

Öz

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.

Kaynakça

  • 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

Belirsizlik problemlerine yönelik yeni bir matematiksel yaklaşım: VFPIFS-küme

Yıl 2022, , 614 - 623, 15.04.2022
https://doi.org/10.17714/gumusfenbil.870783

Öz

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.

Kaynakça

  • 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
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

Orhan Dalkılıç 0000-0003-3875-1398

Yayımlanma Tarihi 15 Nisan 2022
Gönderilme Tarihi 29 Ocak 2021
Kabul Tarihi 27 Şubat 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA Dalkılıç, O. (2022). Belirsizlik problemlerine yönelik yeni bir matematiksel yaklaşım: VFPIFS-küme. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 12(2), 614-623. https://doi.org/10.17714/gumusfenbil.870783