A Novel and an Efficient CODAS Technique to Solve Real-Life MAGDM Problems in Fermatean Neutrosophic Environment

Authors

  • S. Bhuvaneshwari Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India.
  • C. Antony Crispin Sweety Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India.
  • Akanksha Singh Department of Mathematics, UIS, Chandigarh University, Gharuan, Mohali, India,
  • Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca
  • Mohamed Talea Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
  • Prasanta Kumar Raut Trident Academy of Technology, Bhubaneswar, Odisha, India.

Keywords:

Fermatean Neutrosophic Set (FNS); Multi-Criteria Decision Making (MCDM); Multiple Attribute Group Decision Making ; Decision Matrix (D-Mx); Negative Ideal Solution (NIS); Positive Ideal Solution (PIS); FNWAM; FNWGM; Score function (SF); Accuracy Function (AF)

Abstract

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets, and their 
combinations have been developed to represent uncertain, imprecise, incomplete, and inconsistent 
information existing in the real world. A neutrosophic set has the potential to be a general 
framework for uncertainty analysis in various spectra. On the other hand, the idea of Fermatean 
neutrosophic sets (FNSs) is the hybrid model of Fermatean fuzzy sets and neutrosophic sets, 
developed to enable the analytical management of ambiguous data from relatively typical real
world decision-making scenarios. In this work, we develop an algorithm to compare the Fermatean 
neutrosophic set and the neutrosophic set, Fermatean Neutrosophic Weighted Arithmetic Mean 
(FNWAM) and Fermatean Neutrosophic Weighted Geometric Mean (FNWGM) operators as an 
accuracy function in addition to the conventional aggregating operators are designed.  Further, the 
CODAS technique for Multiple Attribute Group Decision Making (MAGDM) problems according 
to the defined operators is proposed. Additionally, to make a clear understanding of the presented 
study, a university faculty selection problem is studied to illustrate the proposed methodology. 
Finally, the results of the above two sets prove the authenticity of this study.

 

DOI: 10.5281/zenodo.13380314

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Published

2024-08-27

Issue

Vol. 72 (2024): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

S. Bhuvaneshwari, C. Antony Crispin Sweety, Akanksha Singh, Said Broumi, Mohamed Talea, & Prasanta Kumar Raut. (2024). A Novel and an Efficient CODAS Technique to Solve Real-Life MAGDM Problems in Fermatean Neutrosophic Environment. Neutrosophic Sets and Systems, 72, 41-59. https://fs.unm.edu/nss8/index.php/111/article/view/4847

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