Neutrosophic Fuzzy Hyper \(h\)-Ideals in Hyper BCK-Algebras

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DOI: https://doi.org/10.28924/2291-8639-24-2026-345
Published: Oct 15, 2026
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Kalavath Anjaneyulu Naik, Bavanari Satyanarayana, Dasari Ramesh, Aiyared Iampan, L. Krishna, Neutrosophic Fuzzy Hyper \(h\)-Ideals in Hyper BCK-Algebras, Int. J. Anal. Appl., 24 (2026), 345.

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Kalavath Anjaneyulu Naik, Bavanari Satyanarayana, Dasari Ramesh, Aiyared Iampan, L. Krishna

Abstract

In this paper, we introduce and investigate neutrosophic fuzzy hyper \(h\)-ideals in hyper BCK-algebras. The notions of neutrosophic fuzzy weak, ordinary, strong, and reflexive hyper \(h\)-ideals are also defined and studied. We show that every neutrosophic fuzzy weak, ordinary, strong, and reflexive hyper \(h\)-ideal is a corresponding neutrosophic fuzzy weak, ordinary, strong, and reflexive hyper BCK-ideal, respectively. Moreover, we examine the relationships among these classes of ideals and provide characterizations in terms of level subsets. Finally, we study hyper homomorphic preimages and product structures of neutrosophic fuzzy hyper \(h\)-ideals. In particular, we prove that the product of two neutrosophic fuzzy hyper \(h\)-ideals is again a neutrosophic fuzzy hyper \(h\)-ideal.

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