Fakhry Asad Agusfrianto, Saba Al-Kaseasbeh, Mariam Hariri, Yudi Mahatma
The notion of Neutrosophic sets first introduced by Smarandache in 1998 as a generalization of intu-itionistic fuzzy sets. Furthermore, Al-Tahan in 2022 introduced the notion of NeutroHyperstructures. Inspired by this research, in this study, we extend NeutroAlgebra and NeutroOrderedAlgebra by introducing two new concepts: NeutroHyperring and NeutroOrderedHyperring. These new concepts enrich the existing framework by incorporating neutrosophic elements, enabling the exploration of complex relationships and uncertainties within algebraic and ordered structures. Furthermore, NeutroHyperring applications on the NeutroRing is also introduced. © 2025, University of New Mexico. All rights reserved.
Mathematics Study Program, Universitas Negeri Jakarta, Jakarta, Indonesia; Department of Mathematics, Tafila Technical University, Tafila, Jordan; College of Interdisciplinary Studies, Zayed University, Abu Dhabi, United Arab Emirates
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