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

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