The Connections of Strongest Fuzzy Γ-ideals on Ternary Γ-semigroups

Authors

  • Warud Nakkhasen Department of Mathematics, Faculty of Science, Mahasarakham University
  • O. Yangnok Department of Mathematics, Faculty of Science, Mahasarakham University
  • K. Chaidet Department of Mathematics, Faculty of Science, Mahasarakham University
  • W. Jantanan Department of Mathematics, Faculty of Science, Buriram Rajabhat University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i3.5309

Keywords:

Strongest fuzzy relation, Strongest fuzzy Γ-ideal, Γ-Ideal, Ternary Γ-semigroup

Abstract

The fuzzy relation $R_\mu$ on $\mu$, where $\mu$ is a fuzzy set of a set $X$, is called a strongest fuzzy relation on $X$ if $R_\mu(x,y)=\min\{\mu(x),\mu(y)\}$, for all $x,y\in X$. The notion of strongest fuzzy relations will be applied in our investigation of ternary $\Gamma$-semigroups. In order to achieve this, we will define the concepts of strongest fuzzy ternary $\Gamma$-subsemigroups, strongest fuzzy $\Gamma$-ideals (resp. left, right, and lateral), and strongest fuzzy bi-$\Gamma$-ideals on ternary $\Gamma$-semigroups. Then, we study the connections and characterizations of these concepts in ternary $\Gamma$-semigroups. 

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Published

2024-07-31

Issue

Vol. 17 No. 3: (July 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

The Connections of Strongest Fuzzy Γ-ideals on Ternary Γ-semigroups. (2024). European Journal of Pure and Applied Mathematics, 17(3), 1417-1428. https://doi.org/10.29020/nybg.ejpam.v17i3.5309