Transitive and Strongly Transitive Neutrosophic Fuzzy Matrices

Authors

  • M. Anandhkumar Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram-605 108, Tamilnadu, India.
  • A. Savitha Mary Department of Mathematics, SRM Institute of Science and Technology, Faculty of Science and Humanities, Ramapuram Campus, Chennai, 600089, India.
  • M. Kavitha Department of Mathematics, Panimalar Engineering College, Chennai – 600123, Tamil Nadu, India.
  • S. Subramanian Department of Mathematics, R.M.D. Engineering College, Kavarapettai 601 207
  • V. Sathishkumar Department of Mathematics, Rajalakshmi Institute of Technology (Autonomous), Chennai
  • S.M. Chithra Department of Mathematics, R.M.K College of Engineering and Technology, Chennai-601206, Tamilnadu, India.

Keywords:

TNFM, STNFM, NNFM.

Abstract

This paper explores several fundamental properties of transitive Neutrosophic fuzzy 
matrices (TNFM) . It demonstrates that any Neutrosophic fuzzy matrices (NFM) can be expressed as 
the sum of a nilpotent Neutrosophic fuzzy matrices (NNFM) and a symmetric Neutrosophic fuzzy 
matrices (SNFM). Additionally, the concept of a strongly TNFM is introduced. Lastly, the canonical 
forms of both TNFM and strongly TNFM are presented.

 

DOI: 10.5281/zenodo.15825633

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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

M. Anandhkumar, A. Savitha Mary, M. Kavitha, S. Subramanian, V. Sathishkumar, & S.M. Chithra. (2025). Transitive and Strongly Transitive Neutrosophic Fuzzy Matrices . Neutrosophic Sets and Systems, 88, 535-557. https://fs.unm.edu/nss8/index.php/111/article/view/6683