Novel Methods for Computing the Moore-Penrose Inverse of Neutrosophic Fuzzy Matrices

Authors

  • R. Jaya Research scholar, Department of Mathematics, Mother Teresa Women's University, Kodaikanal, Tamilnadu, India.
  • S. Vimala Department of Mathematics, Mother Teresa Women's University, Kodaikanal, Tamilnadu, India.

Keywords:

Neutrosophic Fuzzy sets, Neutrosophic Fuzzy Matrices, generalized inverse (g-inverse), Moore-Penrose inverse, minus ordering.

Abstract

 In this paper, we introduce a method for determining the generalized inverse (g-inverse) 
and the Moore-Penrose inverse of Neutrosophic Fuzzy Matrices (NFMs), along with the necessary 
conditions. Furthermore, no algorithm currently exists to find the g-inverse of an NFM. In this study, 
we present an algorithm to evaluate the g-inverse of an NFM. Several properties and results related 
to the g-inverse of NFMs are explored. This paper concludes with an application of the g-inverse, 
supported by numerical examples that illustrate the theorems, algorithm, and application. 

 

DOI: 10.5281/zenodo.15778436

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Published

2025-09-15

Issue

Vol. 88 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 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

R. Jaya, & S. Vimala. (2025). Novel Methods for Computing the Moore-Penrose Inverse of Neutrosophic Fuzzy Matrices . Neutrosophic Sets and Systems, 88, 207-241. https://fs.unm.edu/nss8/index.php/111/article/view/6641