Pythagorean fuzzy prioritized aggregation operators with priority degrees for multi-criteria decision-making
International Journal of Intelligent Computing and Cybernetics
ISSN: 1756-378X
Article publication date: 9 February 2022
Issue publication date: 22 September 2022
Abstract
Purpose
The authors develop some prioritized operators named Pythagorean fuzzy prioritized averaging operator with priority degrees and Pythagorean fuzzy prioritized geometric operator with priority degrees. The properties of the existing method are routinely compared to those of other current approaches, emphasizing the superiority of the presented work over currently used methods. Furthermore, the impact of priority degrees on the aggregate outcome is thoroughly examined. Further, based on these operators, a decision-making approach is presented under the Pythagorean fuzzy set environment. An illustrative example related to the selection of the best alternative is considered to demonstrate the efficiency of the proposed approach.
Design/methodology/approach
In real-world situations, Pythagorean fuzzy numbers are exceptionally useful for representing ambiguous data. The authors look at multi-criteria decision-making issues in which the parameters have a prioritization relationship. The idea of a priority degree is introduced. The aggregation operators are formed by awarding non-negative real numbers known as priority degrees among strict priority levels. Consequently, the authors develop some prioritized operators named Pythagorean fuzzy prioritized averaging operator with priority degrees and Pythagorean fuzzy prioritized geometric operator with priority degrees.
Findings
The authors develop some prioritized operators named Pythagorean fuzzy prioritized averaging operator with priority degrees and Pythagorean fuzzy prioritized geometric operator with priority degrees. The properties of the existing method are routinely compared to those of other current approaches, emphasizing the superiority of the presented work over currently used methods. Furthermore, the impact of priority degrees on the aggregate outcome is thoroughly examined. Further, based on these operators, a decision-making approach is presented under the Pythagorean fuzzy set environment. An illustrative example related to the selection of the best alternative is considered to demonstrate the efficiency of the proposed approach.
Originality/value
The aggregation operators are formed by awarding non-negative real numbers known as priority degrees among strict priority levels. Consequently, the authors develop some prioritized operators named Pythagorean fuzzy prioritized averaging operator with priority degrees and Pythagorean fuzzy prioritized geometric operator with priority degrees. The properties of the existing method are routinely compared to those of other current approaches, emphasizing the superiority of the presented work over currently used methods. Furthermore, the impact of priority degrees on the aggregate outcome is thoroughly examined.
Keywords
Acknowledgements
Author contributions: The authors contributed to each part of this paper equally. The authors read and approved the final manuscript.
Conflict of interest: The authors declare that they have no conflict of interest.
Citation
Farid, H.M.A. and Riaz, M. (2022), "Pythagorean fuzzy prioritized aggregation operators with priority degrees for multi-criteria decision-making", International Journal of Intelligent Computing and Cybernetics, Vol. 15 No. 4, pp. 510-539. https://doi.org/10.1108/IJICC-10-2021-0224
Publisher
:Emerald Publishing Limited
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