Sanal sezgisel bulanık parametreli sezgisel bulanık esnek kümeler ve karar verme üzerine bir uygulaması

Yıl 2022, Cilt: 12 Sayı: 3, 769 - 780, 15.07.2022

Orhan Dalkılıç , Naime Demirtaş

https://doi.org/10.17714/gumusfenbil.993353

Cited By: 2

Öz

Bu çalışmada sezgisel bulanık parametreli sezgisel bulanık esnek kümeler için karar vericiler tarafından ifade edilen sezgisel bulanık değerlerin daha doğru bir şekilde ifade edilebilmesi hedeflenmiştir. Bunun için sanal alt ve üst sezgisel bulanık yaklaşım kavramları tanımlanarak sanal sezgisel bulanık parametreli sezgisel bulanık esnek kümeler kümeler önerilmiştir. Dahası bu hibrit küme tipi için temel küme işlemleri ilişkili özellikleriyle birlikte incelenmiştir. Ayrıca soft kümelere odaklanan belirsizlik problemlerine yönelik bir karar verme algoritması inşa edilmiştir. Son olarak elde edilen sonuçların bir irdelemesi yapılmıştır.

Anahtar Kelimeler

Karar verme, Sezgisel bulanık parametreli sezgisel bulanık esnek küme, Sanal sezgisel bulanık parametreli sezgisel bulanık esnek küme

Virtual intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets and their application in decision-making

Öz

In this paper, it is aimed to express more accurately the intuitionistic fuzzy values expressed by the decision-makers for intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets. For this purpose, virtual intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets are proposed by defining the concepts of virtual lower and upper intuitionistic fuzzy approaches. Moreover, the basic set operations for this hybrid set type are examined together with their associated properties. In addition, a decision-making algorithm focusing on virtual intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets is constructed. Finally, an analysis of the obtained results was made.

Anahtar Kelimeler

Decision-making, Intuitionistic fuzzy parameterized intuitionistic fuzzy soft set, Virtual intuitionistic fuzzy parameterized intuitionistic fuzzy soft set

Kaynakça

• Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
• Çağman, N., Çıtak, F., & Enginoğlu, S. (2010). Fuzzy parameterized fuzzy soft set theory and its applications. Turkish Journal of Fuzzy Systems, 1(1), 21–35.
• Çağman, N., Çıtak, F., & Enginoğlu, S. (2011). FP-soft set theory and its applications. Annals of Fuzzy Mathematics and Informatics, 2(2), 219–226.
• Dalkılıç, O. (2021a). An application of VFPFSS’s in decision-making problems. Journal of Polytechnic, 1-11, https://doi.org/10.2339/politeknik.758474.
• Dalkılıç, O. (2021b). Relations on neutrosophic soft set and their application in decision-making. Journal of Applied Mathematics and Computing, 67(1), 257-273.
• Dalkılıç, O. (2021c). A novel approach to soft set theory in decision-making under uncertainty. International Journal of Computer Mathematics, 98(10), 1935-1945.
• Dalkılıç, O., & Demirtas, N. (2021). VFP-soft sets and its application on decision making Problems. Journal of Polytechnic, 24(4): 1391-1399.
• Deli, I., & Çağman, N. (2015). Intuitionistic fuzzy parameterized soft set theory and its decision making. Applied Soft Computing, 28, 109-113.
• Deli, I., & Çağman, N. (2016). Application of soft sets in decision making based on game theory, Annals of Fuzzy Mathematics and Informatics, 11(3), 425-438.
• Demir, İ. (2021). N‐soft mappings with application in medical diagnosis. Mathematical Methods in the Applied Sciences, 44(8), 7343-7358.
• 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.
• Demirtaş, N., Dalkılıç, O., & Riaz, M. (2022). A mathematical model to the inadequacy of bipolar soft sets in uncertainty environment: N-polar soft set. Computational and Applied Mathematics, 41(1), 1-19.
• El-yagubi, E., & Salleh, A. (2013). Intuitionistic fuzzy parameterised fuzzy soft set. Journal of Quality Measurement and Analysis, 9(2), 73-81.
• Enginoğlu, S., Çağman, N., Karataş, S., & Aydın, T. (2015). On soft topology. El-Cezerî Journal of Science and Engineering, 2(3), 23-38.
• Enginoğlu, S., Memiş, S., & Çağman, N. (2019). A Generalization of fuzzy soft max-min decision-making method and its application to a performance-based value assignment in image denoising. El-Cezerî Journal of Science and Engineering, 6(3), 466-481.
• Ergül, Z. G., & Yüksel, S. (2019). A new type of soft covering based rough sets applied to multicriteria group decision making for medical diagnosis. Mathematical Sciences and Applications E-Notes, 7(1), 28-38.
• 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.
• Karaaslan, F. (2016). Intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets with applications in decision making. Annals of Fuzzy Mathematics and Informatics, 11(4), 607-619.
• 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.
• 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 Base System, 21, 941–945.