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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
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Summary
This summary is machine-generated.

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.

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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.