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Cited by 1,506

The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.

Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets

Zhang, Xiaolu, Xu, Zeshui·2014·International Journal of Intelligent Systems
DOI 10.1002/int.21676
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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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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)
DOI
10.1002/int.21676
OpenAlex
W1829951598
Cited by
1,506
References
25
FWCI
35.32
Type
journal article
Language
en
Open access
closed

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