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Pythagorean Fuzzy Monotonic Argument Dependent OWA Operator and Its Applications in Multiple Attribute Decision Making

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Abstract

After analyzing the existing ranking methods of Pythagorean fuzzy numbers (PFNs) by several examples, some shortcomings of the existing ranking methods are pointed out. To conquer such shortcomings, we propose a novel approach to rank PFNs by using power index measure and score function of PFN. Simultaneously, the rationality of the proposed ranking method is analyzed theoretically. Besides, the techniques of aggregating Pythagorean fuzzy information are investigated. To expand the practical application scope of the DOWA operator to Pythagorean fuzzy environments, we present two kinds of Pythagorean fuzzy monotonic DOWA (PFMDOWA) operators by utilizing the power index measure of PFN. If the weights of attributes are considered, we further develop two kinds of Pythagorean fuzzy hybrid monotonic DOWA (PFHMDOWA) operators. The main advantage of the PFMDOWA operator and PFHMDOWA operator is that the weights associated to the operators can be generated and adjusted dynamically. Lastly, a decision making example is given to verify the flexibility and rationality of the presented techniques.

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Acknowledgements

The authors are grateful to the anonymous reviewers, for their excellent comments and valuable suggestions, and the Editor-in-Chief, Professor Wei-Yen Wang, for his kind help, that helps us improve this paper.

Funding

This work is supported by the Sci-tech Innovation Team Project of Xiamen Institute of Technology (Grant No. KYTD202005), the Joint Research Fund in Astronomy under Cooperative Agreement between the NSFC and CAS (Grant No. U2031136), and the National Natural Science Foundation of China (Grant No. 12371454).

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Authors and Affiliations

  1. School of Data and Computer Science, Xiamen Institute of Technology, Xiamen, 361021, People’s Republic of China

    Hongya Bian

  2. Academy of Foundational Education, Neusoft Institute Guangdong, 528225, Fuoshan, People’s Republic of China

    Wenyi Zeng, Zheng Xie & Qian Yin

  3. School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People’s Republic of China

    Deqing Li

Authors
  1. Hongya Bian
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  2. Wenyi Zeng
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  3. Deqing Li
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  4. Zheng Xie
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  5. Qian Yin
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Correspondence to Wenyi Zeng or Qian Yin.

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Bian, H., Zeng, W., Li, D. et al. Pythagorean Fuzzy Monotonic Argument Dependent OWA Operator and Its Applications in Multiple Attribute Decision Making. Int. J. Fuzzy Syst. 26, 1016–1029 (2024). https://doi.org/10.1007/s40815-023-01650-7

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