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Fermatean Fuzzy IWP-TOPSIS-GRA Multi-Criteria Group Analysis and Its Application to Healthcare Waste Treatment Technology Evaluation

Author

Listed:
  • Wendi Chen

    (School of Business, Ningbo University, Ningbo 315211, China)

  • Shouzhen Zeng

    (School of Business, Ningbo University, Ningbo 315211, China
    School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China)

  • Erhua Zhang

    (School of Business, Ningbo University, Ningbo 315211, China)

Abstract

The growth of healthcare waste (HCW) was driven by the spread of COVID-19. Effective HCW eradication has become a pressing global issue that requires immediate attention. Selecting an effective healthcare waste treatment technology (HCWTT) can aid in preventing waste buildup. HCWTT selection can be seen as a complex multi-criteria group evaluation problem as the process involves multiple types of criteria and decision-makers (DMs) facing uncertain and vague information. The key objective of this study is to create a useful tool for the evaluation of HCWTT that is appropriate for the organization’s needs. A novel index system for assessing the HCWTT during the decision-making evaluation process is first presented. Then a new approach based on entropy measure, decision-making trial and evaluation laboratory (DEMATEL), and game theory for the integrated weighting procedure (IWP) is presented under a Fermatean fuzzy environment. A multi-criteria group analysis based on IWP, a technique for order of preference by similarity to ideal solution (TOPSIS) and grey relational analysis (GRA), named IWP-TOPSIS-GRA framework suited to Fermatean fuzzy evaluation information, is developed. In a real-world case of HCWTT selection, through comparative analysis and sensitivity analysis, it is verified that the presented method is feasible and robust.

Suggested Citation

  • Wendi Chen & Shouzhen Zeng & Erhua Zhang, 2023. "Fermatean Fuzzy IWP-TOPSIS-GRA Multi-Criteria Group Analysis and Its Application to Healthcare Waste Treatment Technology Evaluation," Sustainability, MDPI, vol. 15(7), pages 1-25, March.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:7:p:6056-:d:1112786
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    References listed on IDEAS

    as
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    2. Muhammad Sarwar Sindhu & Imran Siddique & Muhammad Ahsan & Fahd Jarad & Taner Altunok & Gianpaolo Di Bona, 2022. "An Approach of Decision-Making under the Framework of Fermatean Fuzzy Sets," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-9, July.
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