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Pythagorean fuzzy prioritized aggregation operators with priority degrees for multi-criteria decision-making

Hafiz Muhammad Athar Farid (Department of Mathematics, University of the Punjab, Lahore, Pakistan)
Muhammad Riaz (Department of Mathematics, University of the Punjab, Lahore, Pakistan)

International Journal of Intelligent Computing and Cybernetics

ISSN: 1756-378X

Article publication date: 9 February 2022

Issue publication date: 22 September 2022

170

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

Copyright © 2021, Emerald Publishing Limited

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