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

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.

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Main Authors: M. Anandhkumar, S. Prathap, R. Ambrose Prabhu, P. Tharaniya, K. Thirumalai, B. Kanimozhi
Format: Article
Language:English
Published: University of New Mexico 2025-04-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/13DeterminantTheory.pdf
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author M. Anandhkumar
S. Prathap
R. Ambrose Prabhu
P. Tharaniya
K. Thirumalai
B. Kanimozhi
author_facet M. Anandhkumar
S. Prathap
R. Ambrose Prabhu
P. Tharaniya
K. Thirumalai
B. Kanimozhi
author_sort M. Anandhkumar
collection DOAJ
description 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.
format Article
id doaj-art-e2d66fb952524f05a455c53ef43402b2
institution Kabale University
issn 2331-6055
2331-608X
language English
publishDate 2025-04-01
publisher University of New Mexico
record_format Article
series Neutrosophic Sets and Systems
spelling doaj-art-e2d66fb952524f05a455c53ef43402b22025-08-20T03:44:19ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-04-017923426510.5281/zenodo.14537962Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making ProblemsM. AnandhkumarS. PrathapR. Ambrose PrabhuP. TharaniyaK. ThirumalaiB. KanimozhiWe 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.https://fs.unm.edu/NSS/13DeterminantTheory.pdfquadri partitioned neutrosophic fuzzy setsadjointdeterminantdecision-making
spellingShingle 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
Neutrosophic Sets and Systems
quadri partitioned neutrosophic fuzzy sets
adjoint
determinant
decision-making
title Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems
title_full Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems
title_fullStr Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems
title_full_unstemmed Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems
title_short Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems
title_sort determinant theory of quadri partitioned neutrosophic fuzzy matrices and its application to multi criteria decision making problems
topic quadri partitioned neutrosophic fuzzy sets
adjoint
determinant
decision-making
url https://fs.unm.edu/NSS/13DeterminantTheory.pdf
work_keys_str_mv AT manandhkumar determinanttheoryofquadripartitionedneutrosophicfuzzymatricesanditsapplicationtomulticriteriadecisionmakingproblems
AT sprathap determinanttheoryofquadripartitionedneutrosophicfuzzymatricesanditsapplicationtomulticriteriadecisionmakingproblems
AT rambroseprabhu determinanttheoryofquadripartitionedneutrosophicfuzzymatricesanditsapplicationtomulticriteriadecisionmakingproblems
AT ptharaniya determinanttheoryofquadripartitionedneutrosophicfuzzymatricesanditsapplicationtomulticriteriadecisionmakingproblems
AT kthirumalai determinanttheoryofquadripartitionedneutrosophicfuzzymatricesanditsapplicationtomulticriteriadecisionmakingproblems
AT bkanimozhi determinanttheoryofquadripartitionedneutrosophicfuzzymatricesanditsapplicationtomulticriteriadecisionmakingproblems