Properties on semi-ring of fuzzy matrices with compatible norm

Published

16-10-2024

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.spl.03

Keywords:

Determinant of fuzzy matrices, semi-ring, Distribute law, Complement of Matrices, Compatible norm

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Authors

  • A. Pappa P.G and Research, Department of Mathematics, Jamal Mohamed College (Autonomous) Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India.
  • P. Muruganantham P.G and Research, Department of Mathematics, Jamal Mohamed College (Autonomous) Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India.
  • A. Nagoor Gani P.G and Research, Department of Mathematics, Jamal Mohamed College (Autonomous) Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India.

Abstract

Objectives: Using applying the concept of compatible norm, this study develops an entirely new type of fuzzy matrix semi-ring.
Methods: The main goal of the current work is to present a novel fuzzy matrix idea on compatible norm SFMc.
Findings: This study introduces fuzzy matrices and explains which ones multiply left and right over addition. Addition and multiplication are the two binary operations (+, ⨀) that occur in the semi-ring (S,+,⨀) of the set S.
Novelty: The idea of generalized semi-ring of fuzzy matrix are studied. Using the fuzzy algebra & vector space over [0,1]. Forms a distributive law and comparable of semi-ring fuzzy matrices.

How to Cite

A. Pappa, P. Muruganantham, & A. Nagoor Gani. (2024). Properties on semi-ring of fuzzy matrices with compatible norm. The Scientific Temper, 15(spl-1), 20–23. https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.spl.03

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