Araştırma Makalesi

Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making

Cilt: 12 Sayı: 2 15 Nisan 2022
PDF İndir
TR EN

Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making

Öz

Picture fuzzy set is a direct generalization of intuitionistic fuzzy set and is therefore more capable of dealing with uncertainty while working on real life problems. The concept of inclusion is a subject that is frequently studied in family of fuzzy sets and has many applications in real life problems. Therefore, in this work, the measuring degree of inclusion between picture fuzzy sets is introduced. For this purpose, firstly axioms for subsethood measure are given and then a subsethood measure based on a distance measure for picture fuzzy sets is proposed. Then, a numerical example is provided to illustrate the applicability and usefulness of the presented measure. Finally, results are compared with the existing methods and aggregation operator to show validity of subsethood measure for PFS.

Anahtar Kelimeler

MCDM, Picture fuzzy sets, Subsethood measure

Kaynakça

  1. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  2. Cornelis, C., & Kerre, E. (2003). Inclusion measures in intuitionistic fuzzy set theory. Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science), 2711, 345–356. https://doi.org/10.1007/978-3-540-45062-7_28
  3. Cornelis, C., Van der Donck, C., & Kerre, E. (2003). Sinha-Dougherty approach to the fuzzification of set inclusion revisited. Fuzzy Sets and Systems, 134(2), 283–295. https://doi.org/10.1016/S0165-0114(02)00225-7
  4. Cường, B. C. (2015). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30(4), 409–420. https://doi.org/10.15625/1813-9663/30/4/5032
  5. Cuong, B. C., & Kreinovich, V. (2014). Picture fuzzy sets - A new concept for computational intelligence problems. 2013 3rd World Congress on Information and Communication Technologies, WICT 2013, 1–6. https://doi.org/10.1109/WICT.2013.7113099
  6. Ganie, A. H., Singh, S., & Bhatia, P. K. (2020). Some new correlation coefficients of picture fuzzy sets with applications. Neural Computing and Applications, 32(16), 12609–12625. https://doi.org/10.1007/s00521-020-04715-y
  7. Grzegorzewski, P., & Mrówka, E. (2004). Subsethood measure for intuitionistic fuzzy sets. IEEE International Conference on Fuzzy Systems, 1, 139–142. https://doi.org/10.1109/fuzzy.2004.1375704
  8. Köseoğlu, A. (2021). Tourism Management Application in Pythagorean Fuzzy Sets With COPRAS Method. 7th Ifs And Contemporary Mathematics Conference, 197–208.
  9. Köseoğlu, A., & Şahin, R. (2019). An Intuitionistic Multiplicative TOPSIS Method for a Supplier Selection Problem. 3rd International Conference on Advanced Engineering Technologies (ICADET’19), 1076–1082.
  10. Pękala, B., Bentkowska, U., Sesma-Sara, M., Fernandez, J., Lafuente, J., Altalhi, A., Knap, M., Bustince, H., & Pintor, J. M. (2020). Interval subsethood measures with respect to uncertainty for the interval-valued fuzzy setting. International Journal of Computational Intelligence Systems, 13(1), 167–177. https://doi.org/10.2991/ijcis.d.200204.001

Kaynak Göster

APA
Köseoğlu, A. (2022). Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 12(2), 385-394. https://doi.org/10.17714/gumusfenbil.974420
AMA
1.Köseoğlu A. Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2022;12(2):385-394. doi:10.17714/gumusfenbil.974420
Chicago
Köseoğlu, Ali. 2022. “Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 12 (2): 385-94. https://doi.org/10.17714/gumusfenbil.974420.
EndNote
Köseoğlu A (01 Nisan 2022) Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 12 2 385–394.
IEEE
[1]A. Köseoğlu, “Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making”, Gümüşhane Üniversitesi Fen Bilimleri Dergisi, c. 12, sy 2, ss. 385–394, Nis. 2022, doi: 10.17714/gumusfenbil.974420.
ISNAD
Köseoğlu, Ali. “Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 12/2 (01 Nisan 2022): 385-394. https://doi.org/10.17714/gumusfenbil.974420.
JAMA
1.Köseoğlu A. Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2022;12:385–394.
MLA
Köseoğlu, Ali. “Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, c. 12, sy 2, Nisan 2022, ss. 385-94, doi:10.17714/gumusfenbil.974420.
Vancouver
1.Ali Köseoğlu. Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 01 Nisan 2022;12(2):385-94. doi:10.17714/gumusfenbil.974420