Intuitionistic Fuzzy Hyper h-Ideals in Hyper BCK-Algebras

International Journal of Analysis and Applications 2026 Open access

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Authors: Kalavath Anjaneyulu Naik, Dasari Ramesh, Aiyared Iampan, B. Satyanarayana, Punukollu Rajani, Ravutla Durga Prasad
DOI: 10.28924/2291-8639-24-2026-166
Cited by: 1

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.

Fields of Study & Subjects

Fuzzy and Soft Set Theory Advanced Algebra and Logic Rough Sets and Fuzzy Logic

Publication details

Journal / source
International Journal of Analysis and Applications
Publisher
SCIK Publishing Corporation
Volume
24
Pages
166–166
Publication date
29 May 2026