Multi-attribute group decision making method for sponge iron factory location selection problem using multi-polar...

Area of Science:

• Fuzzy Mathematics
• Decision Science
• Operations Research

Background:

• Existing multi-polar fuzzy number (mpFN) operations are limited for complex decision-making.
• There is a need for advanced averaging operators to handle uncertainty in group decision processes.

Purpose of the Study:

• To introduce novel mpFN averaging operators: mpFEWA, mpFEOWA, mpFEHWA, mpFEWG, and mpFEHWG.
• To evaluate the properties (idempotency, boundedness, monotonicity, commutativity) of these new operators.
• To apply the developed operators in multi-attribute group decision-making (MAGDM) for practical problem-solving.

Main Methods:

• Development of new mpFN averaging operators (mpFEWA, mpFEOWA, mpFEHWA, mpFEWG, mpFEHWG).
• Evaluation of operator properties and design tailored for mpFNs.
• Application of mpFEWA and mpFEWG operators within a MAGDM framework.
• Utilizing the EDAS method for solution verification and validation.

Main Results:

• The proposed averaging operators effectively handle multi-polar fuzzy numbers.
• The developed MAGDM method, using mpFEWA and mpFEWG, successfully determined the optimal site for a sponge iron production plant.
• The EDAS method confirmed the effectiveness and reliability of the proposed solutions.

Conclusions:

• The novel mpFN averaging operators and MAGDM method offer significant improvements for decision-making under uncertainty.
• The approach demonstrates practical utility and efficiency in real-world applications.
• The study provides a foundation for further research in advanced fuzzy decision-making techniques.