INTUITIONISTIC MULTIPLICATIVE SET APPROACH FOR GREEN SUPPLIER SELECTION PROBLEM USING TODIM METHOD

Öz

Production and supply chain can be considered as the fundamentals of economic cycle for all countries. As a result of climate crisis in the world and the disasters it brought, the use of green products has become inevitable. With the restrictions imposed by some governments, suppliers have started to canalize their productions to environmental goods and the selection of most appropriate green supplier become a strategic decision. However, classical methods remain incapable to making these decisions due to the uncertain information contained in real life problems. Intuitionistic multiplicative information is a good choice dealing with these uncertainties in this kind of problems. Therefore, in this work, green supplier selection problem is discussed using TODIM method with intuitionistic multiplicative sets.

Anahtar Kelimeler

• Decision Making
• intuitionistic multiplicative set
• investment selection

Kaynakça

1. L. A. Zadeh, “Fuzzy sets,” Inf. Control, vol. 8, no. 3, pp. 338–353, 1965, Accessed: Nov. 18, 2019. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S001999586590241X.
2. K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets Syst., vol. 20, no. 1, pp. 87–96, 1986.
3. E. Szmidt and J. Kacprzyk, “Using intuitionistic fuzzy sets in group decision making,” Control Cybern., vol. 31, no. 4, pp. 1037–1053, 2002.
4. Z. Xu, “Intuitionistic fuzzy aggregation operators,” IEEE Trans. fuzzy Syst., vol. 15, no. 6, pp. 1179–1187, 2007.
5. Z. Xu and R. R. Yager, “Some geometric aggregation operators based on intuitionistic fuzzy sets,” Int. J. Gen. Syst., vol. 35, no. 4, pp. 417–433, 2006, doi: 10.1080/03081070600574353.
6. J. Ye, “Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment,” Int. J. Gen. Syst., vol. 42, no. 4, pp. 386–394, 2013, doi: 10.1080/03081079.2012.761609.
7. D. Dumitrescu, “FUZZY CORRELATION,” Stud. Univ. Babes-Bolyai Math, vol. 23, no. 1, pp. 41–44, 1978.
8. S. K. De, R. Biswas, and A. R. Roy, “An application of intuitionistic fuzzy sets in medical diagnosis,” Fuzzy Sets Syst., vol. 117, no. 2, pp. 209–213, Jan. 2001, doi: 10.1016/S0165-0114(98)00235-8.

9. A. Köseoğlu, “Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making,” Gümüşhane Univ. J. Sci. Technol., vol. 12, no. 2, pp. 385–394, Apr. 2022, doi: 10.17714/GUMUSFENBIL.974420.
10. A. Köseoğlu, “Tourism Management Application in Pythagorean Fuzzy Sets With COPRAS Method,” in 7th Ifs And Contemporary Mathematics Conference, 2021, pp. 197–208.
11. M. Xia and Z. Xu, “Group decision making based on intuitionistic multiplicative aggregation operators,” Appl. Math. Model., vol. 37, no. 7, pp. 5120–5133, Apr. 2013, doi: 10.1016/j.apm.2012.10.029.
12. T. Saaty, “A Scaling Method for Priorities in Hierarchical Structures, Journal of Mathematical Psychology.-Vol. 15.-№ 3,” 1977.
13. M. Xia, Z. Xu, and H. Liao, “Preference relations based on intuitionistic multiplicative information,” IEEE Trans. Fuzzy Syst., vol. 21, no. 1, pp. 113–133, 2013, doi: 10.1109/TFUZZ.2012.2202907.
14. A. Köseoğlu and R. Şahin, “An Intuitionistic Multiplicative TOPSIS Method for a Supplier Selection Problem,” in 3rd International Conference on Advanced Engineering Technologies, 2019, pp. 1076–1082.
15. A. Köseoğlu and R. Şahin, “Correlation coefficients of simplified neutrosophic multiplicative sets and their applications in clustering analysis,” J. Ambient Intell. Humaniz. Comput., vol. 1, pp. 1–22, Sep. 2021, doi: 10.1007/S12652-021-03475-4/TABLES/4.
16. H. Garg, “Novel correlation coefficients under the intuitionistic multiplicative environment and their applications to decision-making process,” J. Ind. Manag. Optim., vol. 14, no. 4, pp. 1501–1519, Oct. 2018, doi: 10.3934/jimo.2018018.
17. H. Liao, C. Zhang, and L. Luo, “A multiple attribute group decision making method based on two novel intuitionistic multiplicative distance measures,” Inf. Sci. (Ny)., vol. 467, pp. 766–783, 2018, doi: https://doi.org/10.1016/j.ins.2018.05.023.
18. C. W. Churchman, R. L. Ackoff, and E. L. Arnoff, Introduction to operations research. Oxford, England: Wiley, 1957.
19. A. Köseoğlu, R. Şahin, and M. Merdan, “A simplified neutrosophic multiplicative set-based TODIM using water-filling algorithm for the determination of weights,” Expert Syst., vol. 37, no. 4, p. e12515, Aug. 2020, doi: 10.1111/exsy.12515.
20. Z. peng Tian, J. Wang, J. qiang Wang, and H. yu Zhang, “Simplified Neutrosophic Linguistic Multi-criteria Group Decision-Making Approach to Green Product Development,” Gr. Decis. Negot., vol. 26, no. 3, 2017, doi: 10.1007/s10726-016-9479-5.
21. P. Rani, A. R. Mishra, and A. Mardani, “An extended Pythagorean fuzzy complex proportional assessment approach with new entropy and score function: Application in pharmacological therapy selection for type 2 diabetes,” Appl. Soft Comput. J., vol. 94, p. 106441, Sep. 2020, doi: 10.1016/j.asoc.2020.106441.
22. P. Ji, H. yu Zhang, and J. qiang Wang, “A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection,” Neural Comput. Appl., vol. 29, no. 1, pp. 221–234, Jan. 2018, doi: 10.1007/s00521-016-2436-z.
23. L. F. A. M. Gomes and M. M. P. P. Lima, “Todim: Basic and application to multicriteria ranking of projects with environmental impacts,” Found. Comput. Decis. Sci., vol. 16, no. 4, pp. 113–127, 1991.
24. D. Kahneman and A. Tversky, “An analysis of decision under risk,” in Econometrica, vol. 47, no. 2, World Scientific, 1979, pp. 263–292.
25. R. A. Krohling and T. T. M. De Souza, “Combining prospect theory and fuzzy numbers to multi-criteria decision making,” Expert Syst. Appl., vol. 39, no. 13, pp. 11487–11493, Oct. 2012, doi: 10.1016/j.eswa.2012.04.006.
26. R. A. Krohling, A. G. C. Pacheco, and A. L. T. Siviero, “IF-TODIM: An intuitionistic fuzzy TODIM to multi-criteria decision making,” Knowledge-Based Syst., vol. 53, pp. 142–146, Nov. 2013, doi: 10.1016/j.knosys.2013.08.028.
27. Y. Jiang, Z. Xu, and M. Gao, “Methods for ranking intuitionistic multiplicative numbers by distance measures in decision making,” Comput. Ind. Eng., vol. 88, pp. 100–109, Oct. 2015, doi: 10.1016/j.cie.2015.06.015.
28. Q. Qin, F. Liang, L. Li, Y. W. Chen, and G. F. Yu, “A TODIM-based multi-criteria group decision making with triangular intuitionistic fuzzy numbers,” Appl. Soft Comput. J., vol. 55, pp. 93–107, Jun. 2017, doi: 10.1016/j.asoc.2017.01.041.