International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Tripolar Fuzzy (m, n)-Quasi-Ideals of Ordered Semigroups

  • Anothai Phukhaengsi
  • Pannawit Khamrot
  • Thiti Gaketem*

    * Corresponding author

    Abstract

    In 2009, M. A. Ansari et al. introduced the concept of \((m,n)\)-quasi-ideals in semigroup theory. Nearly a decade later, in 2018, Rao proposed the framework of tripolar fuzzy sets, which generalizes the classical fuzzy, bipolar fuzzy, and intuitionistic fuzzy set theories. Building upon these developments, this paper introduces and studies the notion of tripolar fuzzy \((m,n)\)-quasi-ideals in semigroups. We explore their fundamental characteristics, analyze their connections with conventional \((m,n)\)-quasi-ideals, and establish relationships between these two structures. In addition, we investigate the notions of minimality, primeness, and semiprimeness within this newly defined framework.

    How to Cite

    A. Phukhaengsi, P. Khamrot, T. Gaketem, Tripolar Fuzzy (m, n)-Quasi-Ideals of Ordered Semigroups, Int. J. Anal. Appl. 24 (2026), 156. https://doi.org/10.28924/2291-8639-24-2026-156

    BibTeX
    @article{Phukhaengsi2026,
  author  = {Phukhaengsi, Anothai and Khamrot, Pannawit and Gaketem, Thiti},
  title   = {Tripolar Fuzzy (m, n)-Quasi-Ideals of Ordered Semigroups},
  journal = {Int. J. Anal. Appl.},
  volume  = {24},
  year    = {2026},
  pages   = {156},
  doi     = {10.28924/2291-8639-24-2026-156}
}

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