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

Research Article

Bipolar Fuzzy Quasi-Ideals in Γ-Semirings: A Study

  • Madhulatha Parvatham
  • Yella Bhargavi
  • Aiyared Iampan*

    * Corresponding author

    Abstract

    This paper investigates bipolar fuzzy quasi-ideals in the context of Γ-semirings, offering new insights into their structural properties. Our results reveal that bipolar fuzzy quasi-ideals serve as a generalization of bipolar fuzzy ideals, while bipolar fuzzy bi-ideals extend this framework further. We also establish that in regular Γ-semirings, the two concepts coincide, leading to a unified interpretation. Notably, the intersection of a bipolar fuzzy right ideal and a bipolar fuzzy left ideal forms a bipolar fuzzy quasi-ideal, highlighting key properties that deepen our understanding of ideal structures in Γ-semirings.

    How to Cite

    M. Parvatham, Y. Bhargavi, A. Iampan, Bipolar Fuzzy Quasi-Ideals in Γ-Semirings: A Study, Int. J. Anal. Appl. 23 (2025), 5. https://doi.org/10.28924/2291-8639-23-2025-5

    BibTeX
    @article{Parvatham2025,
  author  = {Parvatham, Madhulatha and Bhargavi, Yella and Iampan, Aiyared},
  title   = {Bipolar Fuzzy Quasi-Ideals in Γ-Semirings: A Study},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {5},
  doi     = {10.28924/2291-8639-23-2025-5}
}

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