2-tuple linguistic Fermatean fuzzy MAGDM based on the WASPAS method for selection of solid waste disposal location

Area of Science:

• Environmental Science
• Operations Research
• Decision Science

Background:

• Manufacturing plants generate toxic waste, posing risks to human health and the environment.
• Selecting appropriate solid waste disposal locations (SWDLS) is a critical and growing challenge.
• Existing decision-making methods may not fully capture the complexities and uncertainties in SWDLS.

Purpose of the Study:

• To propose a novel decision-making framework for SWDLS problems.
• To integrate the 2-tuple linguistic Fermatean fuzzy (2TLFF) set with the WASPAS method.
• To enhance the handling of subjective decision-maker preferences and alternative dominance in SWDLS.

Main Methods:

• Introduction of 2-tuple linguistic Fermatean fuzzy numbers, their operational laws, and aggregation operators.
• Extension of the WASPAS model into the 2TLFF environment, creating the 2TLFF-WASPAS model.
• Application of Hamacher aggregation operators within the 2TLFF-WASPAS framework for SWDLS.

Main Results:

• A simplified calculation procedure for the proposed 2TLFF-WASPAS model is presented.
• A numerical example demonstrates the application of the method to a real-world SWDLS problem.
• Comparative analysis confirms the stability and consistency of the proposed method's results.

Conclusions:

• The 2TLFF-WASPAS method offers a more reasonable and scientific approach to SWDLS.
• The method effectively addresses decision-maker subjectivity and alternative dominance.
• The proposed framework shows significant advantages for complex decision-making problems in waste management.