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Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets
Abstract
Recently, a new model based on Pythagorean fuzzy set (PFS) has been presented to manage the uncertainty in real-world decision-making problems. PFS has much stronger ability than intuitionistic fuzzy set to model such uncertainty. In this paper, we define some novel operational laws of PFSs and discuss their desirable properties. For the multicriteria decision-making problems with PFSs, we propose an extended technique for order preference by similarity to ideal solution method to deal effectively with them. In this approach, we first propose a score function based comparison method to identify the Pythagorean fuzzy positive ideal solution and the Pythagorean fuzzy negative ideal solution. Then, we define a distance measure to calculate the distances between each alternative and the Pythagorean fuzzy positive ideal solution as well as the Pythagorean fuzzy negative ideal solution, respectively. Afterward, a revised closeness is introduced to identify the optimal alternative. At length, a practical example is given to illustrate the developed method and to make a comparative analysis.
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Cites
Atanassov, K. T. (1986) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(86)80034-3 · Cited by 16,465
Cited by
Generalized Orthopair Fuzzy Sets
Yager, R. R. (2017) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2016.2604005 · Cited by 2,251
Spherical fuzzy sets and spherical fuzzy TOPSIS method
Kutlu Gündoğdu, F., & Kahraman, C. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-181401 · Cited by 965
Zhang, X. (2016) · Information Sciences · doi:10.1016/j.ins.2015.10.012 · Cited by 459
Self-citationSpherical fuzzy sets and their applications in multi-attribute decision making problems
Ashraf, S., Abdullah, S., Mahmood, T., Ghani, F., & Mahmood, T. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-172009 · Cited by 407
Rani, P., Mishra, A. R., Pardasani, K. R., Mardani, A., Liao, H., & Streimikiene, D. (2019) · Journal of Cleaner Production · doi:10.1016/j.jclepro.2019.117936 · Cited by 297
Metadata
- Authors
- Zhang, X., & Xu, Z.
- Venue
- International Journal of Intelligent Systems
- Publisher
- Wiley
- Published
- 2014-10-13
- Volume
- 29
- Issue
- 12
- Pages
- 1061-1078
- ISSN
- 0884-8173 (ISSN-L)
- OpenAlex
- W1829951598
- Cited by
- 1,506
- References
- 1
- FWCI
- 35.32
- Type
- journal article
- Language
- en
- Open access
- closed
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