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Multicriteria group decision-making based on Fermatean fuzzy fairly weighted and ordered weighted averaging operators

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Abstract

The comprehensive evaluation of digital transformation capability (DTC) for enterprise can not only enhance its innovation capabilities, but also provide guidance for improving its digital transformation measures. Thus, this study constructs a comprehensive decision framework by incorporating the preference selection index (PSI), step-wise weights assessment ratio analysis (SWARA) and evaluation based on distance from average solution (EDAS) under Fermatean fuzzy circumstance. To begin with, we define the fairly operational laws of Fermatean fuzzy numbers (FFNs) and propound the Fermatean fuzzy fairly weighted averaging and Fermatean fuzzy ordered weighted averaging operators. Then we advance a fused FF-SWARA-PSI weight model for ascertaining the importance of criteria from the angle of subjective and objective and the principle of minimum relative information entropy is utilized to integrate the subjective weight identified by Fermatean fuzzy SWARA method and objective weighted identified by improved Fermatean fuzzy PSI method. Further, an improved EDAS method based on the proposed operator is propounded to prioritize the alternatives with Fermatean fuzzy information. Lastly, an empirical case that assesses the DTC for enterprise is carried out to confirm the feasibility and applicability of the proposed framework. The sensibility analysis is executed by analyzing the weight coefficients and parameters for discussing the robustness and stability of propounded framework. The feasibility and practicability of the suggested FF-PSI-SWARA-EDAS framework are also investigated through the comparison study with the extant methods.

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Acknowledgements

The authors are very thankful to the editor and anonymous reviewers for their valuable comments and suggestions that have led to a significant improvement in the manuscript.

Funding

This paper is funded by “National Social Science Foundation of China under the project “Research on Digital Transformation and Value Co-creation Behavior of State-owned Enterprises in Manufacturing Industry from the Perspective of Hyper-Network” (22CGL015)”.

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Contributions

TL: conceptualization, methodology, investigation, writing—original draft, writing—review and editing. KG: conceptualization, methodology, investigation, writing—original draft, writing—review and editing. YR: conceptualization, investigation, data acquisition, writing—review and editing.

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Correspondence to Yuan Rong.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Liu, T., Gao, K. & Rong, Y. Multicriteria group decision-making based on Fermatean fuzzy fairly weighted and ordered weighted averaging operators. Granul. Comput. 9, 13 (2024). https://doi.org/10.1007/s41066-023-00427-5

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  • DOI: https://doi.org/10.1007/s41066-023-00427-5

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