Neutrosophic Sets and Systems
Abstract
This paper introduces the concepts of neutrosophic hyper KU-ideals, including strong, weak, and strong-weak neutrosophic hyper KU-ideals, as well as reflexive neutrosophic hyper KU-ideals within the framework of hyper KU-algebras. Fundamental properties of these structures and the relationships among them are investigated in detail. Special attention is given to the study of neutrosophic weak hyper KU-ideals and the conditions under which a neutrosophic set qualifies as a neutrosophic strong hyper KU-ideal (NSHKUI) or a reflexive neutrosophic hyper KU-ideal. The paper further establishes necessary conditions for a neutrosophic weak hyper KU-ideal (NWHKUI) to become a neutrosophic strong-weak hyper KU-ideal (NsWHKUI), as well as conditions under which a neutrosophic strong hyper KU-ideal can be characterized as a reflexive neutrosophic hyper KU-ideal (RNHKUI). These results contribute to the theoretical advancement of neutrosophic algebraic structures and provide a broader foundation for future studies in algebraic systems under uncertainty and indeterminacy.
Recommended Citation
Kumar, Ramesh D. and M. Vasu. "Neutrosophic Hyper KU-Ideals." Neutrosophic Sets and Systems 98, 1 (2026). https://digitalrepository.unm.edu/nss_journal/vol98/iss1/3