Fuzzy decision support modeling for internet finance soft power evaluation based on sine trigonometric Pythagorean fuzzy information

Abstract

The Pythagorean fuzzy set (PFS) is one of the most important concepts to accommodate more uncertainties than the intuitionistic fuzzy sets, fuzzy sets and hence its applications are more extensive. The well-known sine trigonometric function ensures the periodicity and symmetry of the origin in nature and thus satisfies the expectations of decision-makers over the parameters of the multi-time process. Keeping the features of sine function and the importance of the PFS, introduce the novel sine trigonometric operational laws (STOLs) under Pythagorean Fuzzy Settings. In addition, novel sine-trigonometric Pythagorean fuzzy aggregation operators are established based on these STOLs. The core of the study is the decision-making algorithm for addressing multi-attribute decision-making problems based on the proposed aggregation operators with unknown weight information of the given criteria. Finally, an illustrative example on internet finance soft power evaluation is provided to verify the effectiveness. Sensitivity and comparative analyses are also implemented to assess the stability and validity of our method.

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Acknowledgements

This research work was supported by Higher Education Commission (HEC), Pakistan under National Research Program for University (NRPU), Project title: Fuzzy Mathematical Modeling for Decision Support Systems and Smart Grade Systems (No. 10701/KPK/NRPU/R&D/HEC/2017).

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Correspondence to Shahzaib Ashraf.

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Ashraf, S., Abdullah, S. & Khan, S. Fuzzy decision support modeling for internet finance soft power evaluation based on sine trigonometric Pythagorean fuzzy information. J Ambient Intell Human Comput 12, 3101–3119 (2021). https://doi.org/10.1007/s12652-020-02471-4

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Keywords

  • Pythagorean fuzzy sets
  • Sine trigonometric operational laws
  • Sine trigonometric aggregation operators
  • Multi-criteria decision-making technique