Analysis of (1,2,3,4)-Type Inverses in Neutrosophic Hyper Soft Rough Fuzzy Matrices

Authors

  • G.Punithavalli Department of Mathematics, Annamalai University, Deputed to PG and Research Department of Mathematics, Government Arts College, Chidambaram.
  • K. Ramany Research Scholar, PG & Research Department of Mathematics, Government Arts College, Chidambaram; Department of Mathematics, Tagore Government Arts and Science College, Puducherry.

Keywords:

NHSRFM, 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 Hyper Soft Rough Fuzzy Matrices (NHSRFMs), 
along with the necessary conditions. Furthermore, no algorithm currently exists to find the g-inverse 
of an NHSRFM. In this study, we present an algorithm to evaluate the g-inverse of an NHSRFM. 
Several properties and results related to the g-inverse of NHSRFMs 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.20091403

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Published

2026-05-25

Issue

Vol. 99 (2026): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2026 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

G.Punithavalli, & K. Ramany. (2026). Analysis of (1,2,3,4)-Type Inverses in Neutrosophic Hyper Soft Rough Fuzzy Matrices . Neutrosophic Sets and Systems, 99, 300-345. https://fs.unm.edu/nss8/index.php/111/article/view/7635