On NeutroHyperrings and NeutroOrderedHyperrings

Authors

  • Fakhry Asad Agusfrianto Mathematics Study Program, Universitas Negeri Jakarta, Jakarta, Indonesia;
  • Saba Al-Kaseasbeh Department of Mathematics, Tafila Technical University, Tafila, Jordan;
  • Mariam Hariri College of Interdisciplinary Studies, Zayed University, Abu Dhabi, United Arab Emirates;
  • Yudi Mahatma Mathematics Study Program, Universitas Negeri Jakarta, Jakarta, Indonesia

Keywords:

Hyperideals; Hyperstructures; NeutroHyperideal; NeutroHyperstructures; NeutroOrderedHyper ring; OrderedHyperring.

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.

 

DOI: 10.5281/zenodo.14053320

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Published

2024-11-08

Issue

Vol. 77 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Fakhry Asad Agusfrianto, Saba Al-Kaseasbeh, Mariam Hariri, & Yudi Mahatma. (2024). On NeutroHyperrings and NeutroOrderedHyperrings. Neutrosophic Sets and Systems, 77, 1-19. https://fs.unm.edu/nss8/index.php/111/article/view/5236