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Extended PROMETHEE method with (p,q)-rung linear Diophantine fuzzy sets for robot selection problem
J Vimala1, A N Surya1, Nasreen Kausar2
1Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, 630003, India.
Scientific Reports
|January 2, 2025
Summary
This study integrates (p, q)-rung linear Diophantine fuzzy sets with the PROMETHEE method for complex decision-making. The enhanced framework improves handling of intricate real-world problems, demonstrated through a robot selection example.
Area of Science:
- Fuzzy Set Theory
- Multi-Criteria Decision Making
Background:
- The (p, q)-rung linear Diophantine fuzzy set offers a novel approach to fuzzy set theory.
- The PROMETHEE method is a recognized tool for multi-criteria decision-making.
Purpose of the Study:
- To integrate (p, q)-rung linear Diophantine fuzzy sets into the PROMETHEE framework.
- To enhance the adaptability and efficiency of fuzzy sets in practical decision-making scenarios.
Main Methods:
- Development of an extended PROMETHEE framework incorporating (p, q)-rung linear Diophantine fuzzy sets.
- Application of the proposed framework to a robot selection problem for practical demonstration.
Main Results:
- The integrated framework effectively addresses complex decision-making challenges.
- Demonstrated improved capability of (p, q)-rung linear Diophantine fuzzy sets in handling real-world problems.
- The proposed method shows validity, robustness, and adaptability.
Conclusions:
- The enhanced PROMETHEE framework provides a valuable tool for decision-makers.
- The study highlights the practical utility and relevance of integrating advanced fuzzy set concepts into decision-making tools.
