As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.
Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 22:43, 25 June 2021 by Vassia Atanassova (talk | contribs) (Vassia Atanassova moved page Issue:Circular intuitionistic fuzzy TOPSIS method with vague membership functions:Supplier selection application context to [[Issue:Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier s...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/27/1/24-52
Title of paper: Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context
Author(s):
Cengiz Kahraman
Istanbul Technical University, Industrial Engineering Department, 34367, Macka, Besiktas, Istanbul, Turkey
Nurşah Alkan
Istanbul Technical University, Industrial Engineering Department, 34367, Macka, Besiktas, Istanbul, Turkey
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 1, pages 24–52
DOI: https://doi.org/10.7546/nifs.2021.27.1.24-52
Download:  PDF (2255  Kb, File info)
Abstract: The membership function of a general type-2 fuzzy set is three-dimensional in order to incorporate its vagueness through the third dimension. Similarly, Circular intuitionistic fuzzy sets (CIFSs) have been recently introduced by Atanassov (2020) as a new extension of intuitionistic fuzzy sets, which are represented by a circle representing the vagueness of the membership function. CIFSs allow decision-makers to express their judgments including this vagueness. In this study, the TOPSIS method, which is one of the most used multi-criteria decision-making methods is extended to its CIF version. The proposed CIF-TOPSIS methodology is applied to the supplier selection problem. Then, a sensitivity analysis based on criteria weights is conducted to check the robustness of the proposed approach. A comparative analysis with single-valued intuitionistic fuzzy TOPSIS method is also performed to verify the developed approach and to demonstrate its effectiveness
Keywords: Circular intuitionistic fuzzy sets, Intuitionistic fuzzy sets, MCDM, TOPSIS, Supplier selection.
AMS Classification: 03E72
References:
  1. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets System, 20 (1), 87–96.
  2. Atannasov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, New York: Heidelberg: Physica-Verlag.
  3. Atanassov, K. (2020). Circular intuitionistic fuzzy sets. Journal of Intelligent and Fuzzy Systems, 39(5), 5981–5986.
  4. Bahadori, M., Hosseini, S. M., Teymourzadeh, E., Ravangard, R., Raadabadi, M., & Alimohammadzadeh, K. (2020). A supplier selection model for hospitals using a combination of artificial neural network and fuzzy VIKOR. International Journal of Healthcare Management, 13(4), 286–294.
  5. Beil, D. (2009). Supplier Selection. Available online at: http://www-personal.umich.edu/~dbeil/Supplier_Selection_Beil-EORMS.pdf. Access date: 22 January 2021.
  6. Beg, I., & Rashid, T. (2013). TOPSIS for hesitant fuzzy linguistic term sets. International Journal of Intelligent Systems, 28(12), 1162–1171.
  7. Biswas, P., Pramanik, S., & Giri, B. (2016). TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment. Neural Computing and Applications, 27(3), 727–737.
  8. Boran, F., Genç, S., Kurt, M., & Akay, D. (2009). A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Systems with Applications, 36(8), 11363–11368.
  9. Budak, A., Kaya, İ., Karaşan A., & Erdoğan, M. (2020). Real-time location systems selection by using a fuzzy MCDM approach: An application in humanitarian relief logistics. Applied Soft Computing, Article No. 106322.
  10. Büyüközkan, G., & Göçer, F. A Novel Approach Integrating AHP and COPRAS Under Pythagorean Fuzzy Sets for Digital Supply Chain Partner Selection. IEEE Transaction on Engineering Management. (in press).
  11. Büyüközkan, G., & Göçer, F. (2019). Smart medical device selection based on intuitionistic fuzzy Choquet integral. Soft Computing, 23(20), 10085−10103.
  12. Chan, Felix T. S., Kumar, N. M., Tiwari, K. H., Lau C. W., & Choy, K. L. (2008). Global supplier selection: A fuzzy-AHP approach. International Journal of Production Research, 46(14), 3825–3857.
  13. Chen, T., Wang, H., & Lu, Y. (2011). A multicriteria group decision-making approach based on interval-valued intuitionistic fuzzy sets: A comparative perspective. Expert Systems and Applications, 38(6), 7647–7658.
  14. Chen, T., & Tsao, C. (2008). The interval-valued fuzzy TOPSIS method and experimental analysis. Fuzzy Sets and Systems, 159(11), 1410–1428.
  15. Cuong, B. (2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30(4), 409–420.
  16. Elhassouny, A., & Smarandache, F. (2016). Neutrosophic-simplified-TOPSIS multi-criteria decision-making using combined simplified-TOPSIS method and neutrosophics. 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2468–2474.
  17. Gündoğdu, F. K., & Kahraman, C. (2019). A novel fuzzy TOPSIS method using emerging interval-valued spherical fuzzy sets. Engineering Applications of Artificial Intelligence, 85, 307–323.
  18. Gündoğdu, F. K., & Kahraman, C. (2019). Spherical fuzzy sets and spherical fuzzy TOPSIS method. Journal of Intelligent & Fuzzy Systems, 36(1), 337–352.
  19. Ho, L., Lin, Y., & Chen, T. (2020). A Pearson-like correlation-based TOPSIS method with interval-valued Pythagorean fuzzy uncertainty and its application to multiple criteria decision analysis of stroke rehabilitation treatments. Neural Computing and Applications, 32(12), 265–295.
  20. Hussain, A., Irfan A. M., & Mahmood, T. (2019). Covering based q-rung orthopair fuzzy rough set model hybrid with TOPSIS for multi-attribute decision making. Journal of Intelligent and Fuzzy Systems, 37(1), 981–993.
  21. Hwang, C., & Yoon, K. (1981). Multiple Attribute Decision Making-Methods, New York: Springer.
  22. Liang, D., & Xu, Z. (2017). The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets. Applied Soft Computing Journal, 60, 167–179.
  23. Lima-Junior, F. R., Osiro, L., & Carpinetti, L. C. R. (2014). A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection. Applied Soft Computing, 21, 194–209.
  24. Liu, H., & Rodríguez, R. (2014). A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making. Information Sciences, 258, 220–238.
  25. Mahmoudi, A., Sadi-Nezhad, S., & Maku, A. (2016). An extended fuzzy VIKOR for group decision-making based on fuzzy distance to supplier selection. Scientia Iranica E, 23(4), 1879–1892.
  26. Memari, A., Dargi, A., Akbari Jokar, Ahmad, M. R., & Abdul Rahim, A. (2019). Sustainable supplier selection: A multi-criteria intuitionistic fuzzy TOPSIS method. Journal of Manufacturing Systems, 50, 9–24.
  27. Opricovic, S. (1998). Multicriteria Optimization of Civil Engineering Systems. PhD Thesis, Faculty of Civil Engineering, Belgrade, 302 p.
  28. Park, J., Park, I., Kwun, Y., & Tan, X. (2011). Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment. Applied Mathematical Modelling, 35(5), 2544–2556.
  29. Rezaei, J., Fahim, P. B. M., & Tavasszy, L. (2014). Supplier selection in the airline retail industry using a funnel methodology: conjunctive screening method and fuzzy AHP. Expert Systems with Applications, 41, 8165–8179.
  30. Saaty, T. (1980). The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation, New York: MacGraw-Hill, New-York International Book Company.
  31. Saaty, T. (1996). Decision Making with Dependence and Feedback: The Analytic Network Process, RWS Publications, Pittsburgh.
  32. Sajjad Ali Khan, M., Abdullah, S., Yousaf Ali, M., Hussain, I., & Farooq, M. (2018). Extension of TOPSIS method base on Choquet integral under interval-valued Pythagorean fuzzy environment. Journal of Intelligent and Fuzzy Systems, 34(1), 67–282.
  33. Sang, X., Liu X., & Qin, J. (2015). An analytical solution to fuzzy TOPSIS and its application in personnel selection for knowledge-intensive enterprise. Applied Soft Computing Journal, 30, 190–204.
  34. Senapati, Y., & Yager, R. (2020). Fermatean fuzzy sets. Journal of Ambient Intelligence and Humanized Computing, 11(2), 663–674.
  35. Smarandache, F. (1998). Neutrosophy: Neutrosophic Probability, Set, and Logic: Analytic Synthesis & Synthetic Analysis, American Research Press.
  36. Tan, C. (2011). A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Systems with Applications, 38(4), 3023–3033.
  37. Torra, V. (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems, 25(6), 529–539.
  38. Xu, Z., & Zhang, X. (2013). Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowledge-Based Systems, 52, 53–64.
  39. Yager, R. (2013). Pythagorean fuzzy subsets. In: Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013, 57–61.
  40. Yager, R. (2017). Generalized orthopair fuzzy sets. IEEE Transactions on Fuzzy Systems, 25(5), 1222−1230.
  41. 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.
  42. Zadeh, L. (1965). Fuzzy set. Information and Control, 8(3), 338–353.
  43. Zadeh, L. (1975). The concept of a linguistic variable and its application. Information Sciences, 8 (3), 199–249.
  44. 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.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.

Retrieved from "https://ifigenia.org/index.php?title=Issue:Circular_intuitionistic_fuzzy_TOPSIS_method_with_vague_membership_functions:_Supplier_selection_application_context&oldid=10689"