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

Research Article

Extended Bipolar Intuitionistic Fuzzy Ideals Framework Through Level Sets and Its Characterization via Regular Ordered Γ-Semigroups

  • Omaima Alshanqiti
  • M. Palanikumar
  • Aiyared Iampan*

    * Corresponding author

    Abstract

    This paper proposes an extended framework for bipolar anti-intuitionistic fuzzy ideals within the context of ordered Γ-semigroups. We introduce and investigate the (δ, τ)-bipolar anti-intuitionistic fuzzy subsemigroups (BPAIFSS), including their associated left ideals, right ideals, ideals, and bi-ideals. These structures generalize existing fuzzy ideal notions by incorporating dual-valued membership and non-membership functions with flexible threshold control. Using level set analysis, we characterize the algebraic properties of these fuzzy ideals and establish their role in determining the regularity of ordered Γ-semigroups. Illustrative examples are provided to validate and demonstrate the applicability of the theoretical results.

    How to Cite

    O. Alshanqiti, M. Palanikumar, A. Iampan, Extended Bipolar Intuitionistic Fuzzy Ideals Framework Through Level Sets and Its Characterization via Regular Ordered Γ-Semigroups, Int. J. Anal. Appl. 24 (2026), 14. https://doi.org/10.28924/2291-8639-24-2026-14

    BibTeX
    @article{Alshanqiti2026,
  author  = {Alshanqiti, Omaima and Palanikumar, M. and Iampan, Aiyared},
  title   = {Extended Bipolar Intuitionistic Fuzzy Ideals Framework Through Level Sets and Its Characterization via Regular Ordered Γ-Semigroups},
  journal = {Int. J. Anal. Appl.},
  volume  = {24},
  year    = {2026},
  pages   = {14},
  doi     = {10.28924/2291-8639-24-2026-14}
}

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