Neutrosophic Sets and Systems
Abstract
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.
Recommended Citation
Agusfrianto, Fakhry Asad; Saba Al-Kaseasbeh; Mariam Hariri; and Yudi Mahatma. "On NeutroHyperrings and NeutroOrderedHyperrings." Neutrosophic Sets and Systems 77, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol77/iss1/1
