Determinant Theory of Quadri-Partitioned Neutrosophic  Fuzzy Matrices and its Application to Multi-Criteria  Decision-Making Problems

M.Anandhkumar; S. Prathap; R. Ambrose Prabhu; P.Tharaniya; K. Thirumalai; B. Kanimozhi

Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems

Authors

M.Anandhkumar Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram, Tamilnadu, India.
S. Prathap Department of Mathematics, Panimalar Engineering College, Chennai, Tamil Nadu, India.
R. Ambrose Prabhu Department of Mathematics, Rajalakshmi Institute of Technology, Poonamalle, Chennai, Tamilnadu, India
P.Tharaniya Department of Mathematics, Rajalakshmi Institute of Technology, Poonamalle, Chennai, Tamilnadu, India
K. Thirumalai Department Of Mathematics, Saveetha Engineering College, Chennai, Tamilnadu, India.
B. Kanimozhi Department of Mathematics, Sri Manakula Vinayagar Engineering College (Autonomous), Madagadipet Puducherry, India.

Keywords:

Quadri Partitioned Neutrosophic fuzzy sets , Adjoint, Determinant, Decision-Making.

Abstract

We explore the determinant theory for Quadri-Partitioned Neutrosophic Fuzzy Matrices
(QPNFMs),
investigating
det
(
Padj P
( )
)
det
( )
P
their
= =
det
(
properties.
adj P P
( )
).
In this study, we establish that Additionally, we propose a refined method to
compute the determinant of matrices with a higher number of rows and columns. Furthermore, an
algorithm is developed to address decision-making problems based on QPNFMs. An illustrative
example is provided to demonstrate the effectiveness of the proposed method.

DOI: 10.5281/zenodo.14537962

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Published

2024-12-20

Issue

Vol. 79 (2025): Neutrosophic Sets and Systems

Section

Article

License

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

Creative Commons Attribution (CC BY) license.

How to Cite

M.Anandhkumar, S. Prathap, R. Ambrose Prabhu, P.Tharaniya, K. Thirumalai, & B. Kanimozhi. (2024). Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems. Neutrosophic Sets and Systems, 79, 234-265. https://fs.unm.edu/nss8/index.php/111/article/view/5583