Intuitionistic Fuzzy Hyper h-Ideals in Hyper BCK-Algebras

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DOI: https://doi.org/10.28924/2291-8639-24-2026-166
Published: May 29, 2026
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Kalavath Anjaneyulu Naik, Dasari Ramesh, Aiyared Iampan, Bavanari Satyanarayana, Punukollu Rajani, Ravutla Durga Prasad, Intuitionistic Fuzzy Hyper h-Ideals in Hyper BCK-Algebras, Int. J. Anal. Appl., 24 (2026), 166.

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

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.

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