Modification of the Ranking of Alternatives with Weights of Criterion (RAWEC) Method and Improvement with Fermatean Fuzzy numbers

Duško Tešić; Darko Božanić; Sankar Prasad Mondal; Adis Puška

doi:10.31181/jscda31202570

Authors

Duško Tešić Military Academy, University of Defence, Belgrade, Serbia Author https://orcid.org/0000-0002-5277-3270
Darko Božanić Military Academy, University of Defence, Belgrade, Serbia Author https://orcid.org/0000-0002-9657-0889
Sankar Prasad Mondal Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, India Author https://orcid.org/0000-0003-4690-2598
Adis Puška Government of Brčko District of Bosnia and Herzegovina, Brčko, Bosnia and Herzegovina Author https://orcid.org/0000-0003-3274-0188

DOI:

https://doi.org/10.31181/jscda31202570

Keywords:

Fuzzy, Feramatean, RAWEC, MCDM, FF-RAWEC

Abstract

This paper presents a modified version of the Ranking of Alternatives with Weights of Criterion (RAWEC) method, improved by the application of Fermatean fuzzy (FF) numbers, with the aim of solving decision-making problems under conditions of uncertainty. As a contribution to the field of multi-criteria decision making (MCDM), the FF-RAWEC method offers a solid mathematical foundation and shows flexibility through different decision scenarios—when the criteria are of benefit, cost, or mixed type. Numerical examples illustrate the practical application of the method, while sensitivity analysis confirms its stability. In addition, the comparative analysis shows a high correlation of ranks with other methods, which further confirms the validity and reliability of the proposed method. FF-RAWEC successfully integrates the advantages of FF logic, making it suitable for solving real-world problems involving imprecise or subjective information. Its adaptability and consistency indicate great potential for further application and development in engineering and social decision-making contexts.

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References

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Journal of Soft Computing & Decision Analytics (JSCDA)

Modification of the Ranking of Alternatives with Weights of Criterion (RAWEC) Method and Improvement with Fermatean Fuzzy numbers

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