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

Research Article

Intuitionistic Fuzzy Hyper h-Ideals in Hyper BCK-Algebras

  • Kalavath Anjaneyulu Naik
  • Dasari Ramesh
  • Aiyared Iampan*
  • Bavanari Satyanarayana
  • Punukollu Rajani
  • Ravutla Durga Prasad

    * Corresponding author

    Abstract

    This research explores the intuitionistic fuzzification of hyper h-ideals in hyper BCK-algebras, including weak, strong, and reflexive types. We demonstrate that every intuitionistic fuzzy weak, strong, or reflexive hyper h-ideal is an intuitionistic fuzzy HBCKI, and investigate the relationships among these ideals, revealing key connections. Additionally, we examine the hyper homomorphic pre-image and product of intuitionistic fuzzy hyper h-ideals, showcasing their preservation properties. These findings advance intuitionistic fuzzy algebraic structures in hyper BCK-algebras, with potential applications in fuzzy logic and related fields.

    How to Cite

    K. A. Naik, D. Ramesh, A. Iampan, B. Satyanarayana, P. Rajani, R. D. Prasad, Intuitionistic Fuzzy Hyper h-Ideals in Hyper BCK-Algebras, Int. J. Anal. Appl. 24 (2026), 166. https://doi.org/10.28924/2291-8639-24-2026-166

    BibTeX
    @article{Naik2026,
      author  = {Naik, Kalavath Anjaneyulu and Ramesh, Dasari and Iampan, Aiyared and Satyanarayana, Bavanari and Rajani, Punukollu and Prasad, Ravutla Durga},
      title   = {Intuitionistic Fuzzy Hyper h-Ideals in Hyper BCK-Algebras},
      journal = {Int. J. Anal. Appl.},
      volume  = {24},
      year    = {2026},
      pages   = {166},
      doi     = {10.28924/2291-8639-24-2026-166}
    }

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