Green Supplier Selection with TOPSIS Technique Based on Spherical Fuzzy Numbers

Öz

It is important to select the right supplier to create sustainable supply chain structures. Identifying suppliers that are particularly sensitive to the environment and human health, that is, green suppliers, is among the main objectives in the supplier selection process. The green supplier selection (GSS) problem is mostly the subject of multi-criteria decision-making and multi-attribute group decision-making research. In this research, the GSS problem of a hotel business is discussed. Technique for order preference by similarity to ideal solution (TOPSIS) technique was applied by using spherical fuzzy numbers in the research. Within the scope of the research, three decision makers, four alternatives and four criteria (Economic, quality, social and environmental criteria) were used. The collected data based on spherical fuzzy linguistic expressions were combined with the Spherical Weighted Arithmetic Mean (SWAM) operator and the criteria were weighted. Alternatives are ranked by TOPSIS technique based on spherical fuzzy numbers. According to the research findings, the GSS criterion weight of the hotel business was determined as the highest criterion quality criterion and the lowest criterion as social criterion. As a result of the application, the alternatives were ranked, and the third alternative was determined as the best alternative. It has been suggested to the researchers to apply multi-criteria group decision making techniques with fuzzy numbers in solving GSS problem.

Anahtar Kelimeler

• Spherical fuzzy number
• TOPSIS
• Green supplier Selection

Küresel Bulanık Sayılara Dayalı TOPSIS Tekniğiyle Yeşil Tedarikçi Seçimi

Öz

Sürdürülebilir tedarik zinciri yapılarının oluşturulabilmesi için doğru tedarikçi seçimi önemlidir. Özellikle çevreye ve insan sağlığına duyarlı tedarikçilerin yani yeşil tedarikçilerin tespit edilmesi tedarikçi seçim sürecindeki temel hedefler arasında yer almaktadır. Yeşil tedarikçi seçim (YTS) problemi yoğunlukla çok kriterli karar verme ve çok ölçütlü grup karar verme araştırmalar konusudur. Bu araştırma da bir otel işletmesinin YTS problemi ele alınmıştır. Araştırmada küresel bulanık sayılar kullanılarak “İdeal çözüme benzerliğe göre sıralama tercihi (TOPSIS)” tekniği uygulanmıştır. Araştırma kapsamında üç karar verici, dört alternatif ve dört kriter (Ekonomi, Kalite, Sosyal ve Çevresel kriterler) kullanılmıştır. Küresel bulanık dilsel ifadelere dayalı toplanan veriler Küresel Ağırlıklı Aritmetik Ortalama (SWAM) operatörü ile birleştirilmiş ve kriterler ağırlıklandırılmıştır. Küresel bulanık sayılara dayalı TOPSIS tekniğiyle alternatifler sıralanmıştır. Araştırma bulgularına göre otel işletmesinin YTS kriter ağırlığı en yüksek kriter kalite kriteri olarak, en düşük kriter sosyal kriter olarak belirlenmiştir. Uygulama sonucunda alternatiflerin sıralaması yapılmış ve üçüncü alternatif en iyi alternatif olarak tespit edilmiştir. Araştırmacılara YTS problem çözümünde bulanık sayılarla çok ölçütlü grup karar verme tekniklerinin uygulanması önerilmiştir.

Anahtar Kelimeler

• Küresel bulanık sayı
• TOPSIS
• Yeşil tedarikçi Seçimi

Kaynakça

1. Abdel-Baset, M., Chang, V., Gamal, A., & Smarandache, F. (2019). An integrated neutrosophic ANP and VIKOR method for achieving sustainable supplier selection: A case study in importing field. Computers in Industry, 106, 94-110. https://doi.org/10.1016/j.compind.2018.12.017
2. Alrasheedi, M., Mardani, A., Mishra, A. R., Rani, P., & Loganathan, N. (2022). An extended framework to evaluate sustainable suppliers in manufacturing companies using a new Pythagorean fuzzy entropy-SWARA-WASPAS decision-making approach. Journal of Enterprise Information Management, 35(2), 333-357. https://doi.org/10.1108/JEIM-07-2020-0263
3. Atanassov, K. T. (1999). Intuitionistic fuzzy sets. In Intuitionistic fuzzy sets (pp. 1-137). Physica, Heidelberg.
4. Aydoğdu, A., & Gül, S. (2020). A novel entropy proposition for spherical fuzzy sets and its application in multiple attribute decision‐making. International Journal of Intelligent Systems, 35(9), 1354-1374. https://doi.org/10.1002/int.22256
5. Bali, O. (2018). A Dynamic MCDM Approach Based on Simplified Neutrosophic Sets for Green Supplier Selection. Journal of Management and Information Science, 6(2), 14-23.
6. Bali, O., Kose, E., & Gumus, S. (2013). Green supplier selection based on IFS and GRA. Grey Systems: Theory and Application, 3(2), 158-176. https://doi.org/10.1108/GS-04-2013-0007
7. Büyüközkan, G., & Çifçi, G. (2012). A novel hybrid MCDM approach based on fuzzy DEMATEL, fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers. Expert Systems with Applications, 39(3), 3000-3011. https://doi.org/10.1016/j.eswa.2011.08.162
8. Cao, Q., Wu, J., & Liang, C. (2015). An intuitionsitic fuzzy judgement matrix and TOPSIS integrated multi-criteria decision making method for green supplier selection. Journal of Intelligent & Fuzzy Systems, 28(1), 117-126. https://doi.org/10.3233/IFS-141281

9. Chen, C. T. (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy sets and systems, 114(1), 1-9.
10. Çalık, A. (2021). A novel Pythagorean fuzzy AHP and fuzzy TOPSIS methodology for green supplier selection in the Industry 4.0 era. Soft Computing, 25(3), 2253-2265. https://doi.org/10.1007/s00500-020-05294-9
11. Demir, E., & Koca, G. (2020, July). Green supplier selection using intuitionistic fuzzy AHP and TOPSIS methods: a case study from the paper mills. In International Conference on Intelligent and Fuzzy Systems (pp. 666-673). Springer, Cham.
12. Ghorabaee, M. K., Zavadskas, E. K., Amiri, M., & Esmaeili, A. (2016). Multi-criteria evaluation of green suppliers using an extended WASPAS method with interval type-2 fuzzy sets. Journal of Cleaner Production, 137, 213-229. https://doi.org/10.1016/j.jclepro.2016.07.031
13. Govindan, K., Khodaverdi, R., & Vafadarnikjoo, A. (2015). Intuitionistic fuzzy based DEMATEL method for developing green practices and performances in a green supply chain. Expert Systems with Applications, 42(20), 7207-7220. https://doi.org/10.1016/j.eswa.2015.04.030
14. Göçer, F. (2021). Improving sustainable supplier evaluation by an integrated MCDM method under pythagorean fuzzy environment. Cumhuriyet Science Journal, 42(1), 218-235. http://dx.doi.org/10.17776/csj.735674
15. Gupta, S., Soni, U., & Kumar, G. (2019). Green supplier selection using multi-criterion decision making under fuzzy environment: A case study in automotive industry. Computers & Industrial Engineering, 136, 663-680. https://doi.org/10.1016/j.cie.2019.07.038
16. Islam, S., & Deb, S. C. (2019). Neutrosophic Goal Programming Approach to A Green Supplier Selection Model with Quantity Discount. Neutrosophic Sets and Systems, 30, 98-112. https://digitalrepository.unm.edu/nss_journal/vol30/iss1/7
17. Kaur, P., Dutta, V., Pradhan, B. L., Haldar, S., & Chauhan, S. (2021). A Pythagorean Fuzzy Approach for Sustainable Supplier Selection Using TODIM. Mathematical Problems in Engineering, 2021. https://doi.org/10.1155/2021/4254894
18. Khalilzadeh, M., & Derikvand, H. (2018). A multi-objective supplier selection model for green supply chain network under uncertainty. Journal of Modelling in Management, 13(3), 605-625. https://doi.org/10.1108/JM2-06-2017-0062
19. Kumari, R., & Mishra, A. R. (2020). Multi-criteria COPRAS method based on parametric measures for intuitionistic fuzzy sets: application of green supplier selection. Iranian journal of science and technology, Transactions of Electrical Engineering, 44(4), 1645-1662. https://doi.org/10.1007/s40998-020-00312-w
20. Kutlu Gündoğdu, F., & Kahraman, C. (2019). Spherical fuzzy sets and spherical fuzzy TOPSIS method. Journal of intelligent & fuzzy systems, 36(1), 337-352. https://doi.org/10.3233/jifs-181401
21. Lee, A. H., Kang, H. Y., Hsu, C. F., & Hung, H. C. (2009). A green supplier selection model for high-tech industry. Expert systems with applications, 36(4), 7917-7927. https://doi.org/10.1016/j.eswa.2008.11.052
22. Li, M., & Wu, C. (2015). Green supplier selection based on improved intuitionistic fuzzy TOPSIS model. Metallurgical & Mining Industry, (6).
23. Malviya, R. K., Kant, R., & Gupta, A. D. (2018). Evaluation and selection of sustainable strategy for green supply chain management implementation. Business Strategy and the Environment, 27(4), 475-502. https://doi.org/10.1002/bse.2016
24. Mavi, R. K. (2015). Green supplier selection: a fuzzy AHP and fuzzy ARAS approach. International Journal of Services and Operations Management, 22(2), 165-188. https://doi.org/10.1504/IJSOM.2015.071528
25. Memari, A., Dargi, A., Jokar, M. R. A., Ahmad, R., & Rahim, A. R. A. (2019). Sustainable supplier selection: A multi-criteria intuitionistic fuzzy TOPSIS method. Journal of manufacturing systems, 50, 9-24. https://doi.org/10.1016/j.jmsy.2018.11.002
26. Mohammadi, S. S., Azar, A., Ghatari, A. R., & Alimohammadlou, M. (2022). A model for selecting green suppliers through interval-valued intuitionistic fuzzy multi criteria decision making models. Journal of Management Analytics, 9(1), 60-85. https://doi.org/10.1080/23270012.2021.1881926
27. Nguyen, T. L., Nguyen, P. H., Pham, H. A., Nguyen, T. G., Nguyen, D. T., Tran, T. H., ... & Phung, H. T. (2022). A Novel Integrating Data Envelopment Analysis and Spherical Fuzzy MCDM Approach for Sustainable Supplier Selection in Steel Industry. Mathematics, 10(11), 1897. https://doi.org/10.3390/math10111897
28. Phochanikorn, P., & Tan, C. (2019). A new extension to a multi-criteria decision-making model for sustainable supplier selection under an intuitionistic fuzzy environment. Sustainability, 11(19), 5413. https://doi.org/10.3390/su11195413
29. Qiyas, M., & Abdullah, S. (2022). Decision Support System Based on Spherical 2-tuple Linguistic Fuzzy Aggregation Operators and their Application in Green Supplier Selection. Punjab University Journal of Mathematics, 54(6), 411-428. https://doi.org/10.52280/pujm.2021.540604
30. Remadi, F. D., & Frikha, H. M. (2020, November). The Intuitionistic Fuzzy Set FlowSort methodology for green supplier Evaluation. In 2020 International Conference on Decision Aid Sciences and Application (DASA) (pp. 719-725). IEEE.
31. Rinaldi, M., Caterino, M., Fera, M., Manco, P., & Macchiaroli, R. (2021). Technology selection in green supply chains-the effects of additive and traditional manufacturing. Journal of Cleaner Production, 282, 124554. https://doi.org/10.1016/j.jclepro.2020.124554
32. Rouyendegh, B. D., Yildizbasi, A., & Üstünyer, P. (2020). Intuitionistic fuzzy TOPSIS method for green supplier selection problem. Soft Computing, 24(3), 2215-2228. https://doi.org/10.1007/s00500-019-04054-8
33. Sen, D. K., Datta, S., & Mahapatra, S. S. (2018). Sustainable supplier selection in intuitionistic fuzzy environment: a decision-making perspective. Benchmarking: An International Journal, 25(2), 545-574. https://doi.org/10.1108/BIJ-11-2016-0172
34. Sharaf, I. M., & Khalil, E. A. H. A. (2021). A spherical fuzzy TODIM approach for green occupational health and safety equipment supplier selection. International Journal of Management Science and Engineering Management, 16(1), 1-13. https://doi.org/10.1080/17509653.2020.1788467
35. Sun, Y., & Cai, Y. (2021). A flexible decision-making method for green supplier selection integrating TOPSIS and GRA under the single-valued neutrosophic environment. IEEE Access, 9, 83025-83040. https://doi.org/10.1109/ACCESS.2021.3085772
36. Smarandache, F. (2005). A unifying field in logics: neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability: neutrsophic logic. Neutrosophy, neutrosophic set, neutrosophic probability. Infinite Study.
37. Taş, M. A., Çakır, E., & Ulukan, Z. (2021). Spherical fuzzy swara-marcos approach for green supplier selection. 3C Tecnologia, 10. https://doi.org/10.17993/3ctecno.2021.specialissue7.115-133
38. Tian, Z. P., Zhang, H. Y., Wang, J. Q., & Wang, T. L. (2018). Green supplier selection using improved TOPSIS and best-worst method under intuitionistic fuzzy environment. Informatica, 29(4), 773-800. https://doi.org/10.15388/Informatica.2018.192
39. Tsai, W. H., & Hung, S. J. (2009). A fuzzy goal programming approach for green supply chain optimisation under activity-based costing and performance evaluation with a value-chain structure. International Journal of Production Research, 47(18), 4991-5017. https://doi.org/10.1080/00207540801932498
40. Unal, Y., & Temur, G. T. (2022). Sustainable supplier selection by using spherical fuzzy AHP. Journal of Intelligent & Fuzzy Systems, (Preprint), 1-11. https://doi.org/10.3233/JIFS-219214
41. Vachon, S. (2007). Green supply chain practices and the selection of environmental technologies. International journal of production research, 45(18-19), 4357-4379. https://doi.org/10.1080/00207540701440303
42. Van, L. H., Yu, V. F., Dat, L. Q., Dung, C. C., Chou, S. Y., & Loc, N. V. (2018). New integrated quality function deployment approach based on interval neutrosophic set for green supplier evaluation and selection. Sustainability, 10(3), 838. https://doi.org/10.3390/su10030838
43. Wang, L., Wang, H., Xu, Z., & Ren, Z. (2019). The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method. International Journal of Intelligent Systems, 34(6), 1063-1085. https://doi.org/10.1002/int.22086
44. Wu, M. Q., Zhang, C. H., Liu, X. N., & Fan, J. P. (2019). Green supplier selection based on DEA model in interval-valued Pythagorean fuzzy environment. Ieee Access, 7, 108001-108013. https://doi.org/10.1109/ACCESS.2019.2932770
45. Xiao, L., Zhang, S., Wei, G., Wu, J., Wei, C., Guo, Y., & Wei, Y. (2020). Green supplier selection in steel industry with intuitionistic fuzzy Taxonomy method. Journal of Intelligent & Fuzzy Systems, 39(5), 7247-7258. https://doi.org/10.3233/JIFS-200709
46. Xiong, L., Zhong, S., Liu, S., Zhang, X., & Li, Y. (2020). An Approach for Resilient-Green Supplier Selection Based on WASPAS, BWM, and TOPSIS under Intuitionistic Fuzzy Sets. Mathematical Problems in Engineering, 2020, 1-18. https://doi.org/10.1155/2020/1761893
47. Xu, D., Cui, X., & Xian, H. (2020). An extended EDAS method with a single-valued complex neutrosophic set and its application in green supplier selection. Mathematics, 8(2), 282. https://doi.org/10.3390/math8020282
48. Yager, R. R. (2013, June). Pythagorean fuzzy subsets. In 2013 joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS) (pp. 57-61). IEEE.
49. Yang, Y., & Chiclana, F. (2009). Intuitionistic fuzzy sets: spherical representation and distances. International Journal of Intelligent Systems, 24(4), 399-420. https://doi.org/10.1002/int.20342
50. Yazdani, M., Torkayesh, A. E., Stević, Ž., Chatterjee, P., Ahari, S. A., & Hernandez, V. D. (2021). An interval valued neutrosophic decision-making structure for sustainable supplier selection. Expert Systems with Applications, 183, 115354. https://doi.org/10.1016/j.eswa.2021.115354
51. Ye, F. (2010). An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection. Expert Systems with Applications, 37(10), 7050-7055. https://doi.org/10.1016/j.eswa.2010.03.013
52. Ye, J. (2015). An extended TOPSIS method for multiple attribute group decision making based on single valued neutrosophic linguistic numbers. Journal of Intelligent & Fuzzy Systems, 28(1), 247-255. https://doi.org/10.3233/IFS-141295
53. Yeh, W. C., & Chuang, M. C. (2011). Using multi-objective genetic algorithm for partner selection in green supply chain problems. Expert Systems with applications, 38(4), 4244-4253. https://doi.org/10.1016/j.eswa.2010.09.091
54. Yu, C., Shao, Y., Wang, K., & Zhang, L. (2019). A group decision making sustainable supplier selection approach using extended TOPSIS under interval-valued Pythagorean fuzzy environment. Expert Systems with Applications, 121, 1-17. https://doi.org/10.1016/j.eswa.2018.12.010
55. Yücesan, M. (2019). Green Supplier selection for plastic industry using integrated model based on Pythagorean fuzzy AHP and fuzzy TOPSIS. İşletme Araştırmaları Dergisi, 11(1), 26-41. https://doi.org/10.20491/isarder.2019.579
56. Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.
57. Zeng, S., Hu, Y., Balezentis, T., & Streimikiene, D. (2020). A multi‐criteria sustainable supplier selection framework based on neutrosophic fuzzy data and entropy weighting. Sustainable Development, 28(5), 1431-1440. https://doi.org/10.1002/sd.2096
58. Zhang, H., Wei, G., & Chen, X. (2021). CPT-MABAC method for spherical fuzzy multiple attribute group decision making and its application to green supplier selection. Journal of Intelligent & Fuzzy Systems, (Preprint), 1-11. https://doi.org/10.3233/JIFS-202954
59. Zhang, X., & Xu, Z. (2014). Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets. International Journal of Intelligent Systems, 29(12), 1061-1078. https://doi.org/10.1002/int.21676
60. Zhao, M., Wei, G., Wei, C., & Wu, J. (2021). TODIM method for interval-valued Pythagorean fuzzy MAGDM based on cumulative prospect theory and its application to green supplier selection. Arabian Journal for Science and Engineering, 46(2), 1899-1910. https://doi.org/10.1007/s13369-020-05063-8
61. Zhou, F., & Chen, T. Y. (2020). An integrated multicriteria group decision-making approach for green supplier selection under Pythagorean fuzzy scenarios. Ieee Access, 8, 165216-165231. https://doi.org/10.1109/ACCESS.2020.3022377