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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 25 • Issue 3 • PP: 540-560 • 2025

Neutrosophic sets in IUP-algebras: a new exploration

Kannirun Suayngam 1*
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,
Pongpun Julatha 2
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,
Rukchart Prasertpong 3
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,
Aiyared Iampan 1
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1Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Mae Ka, Mueang, Phayao 56000, Thailand
2Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand
3Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University, Nakhon Sawan 60000, Thailand
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.250343
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Received: March 28, 2024 Revised: June 29, 2024 Accepted: November 12, 2024
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Abstract

The notions of neutrosophic IUP-subalgebras, neutrosophic IUP-ideals, neutrosophic IUP-filters, and neutrosophic strong IUP-ideals of IUP-algebras are introduced, and their basic properties are investigated. Conditions for neutrosophic sets to be neutrosophic IUP-subalgebras, neutrosophic IUP-ideals, neutrosophic IUPfilters, and neutrosophic strong IUP-ideals of IUP-algebras are provided. Relations between neutrosophic IUP-subalgebras (resp., neutrosophic IUP-ideals, neutrosophic IUP-filters, neutrosophic strong IUP-ideals) and their level subsets are considered.

Keywords

IUP-algebra neutrosophic IUP-subalgebra neutrosophic IUP-ideal neutrosophic IUP-filter neutrosophic strong IUP-ideal

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Suayngam, Kannirun, Julatha, Pongpun, Prasertpong, Rukchart, Iampan, Aiyared. "Neutrosophic sets in IUP-algebras: a new exploration." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 540-560. DOI: https://doi.org/10.54216/IJNS.250343
Suayngam, K., Julatha, P., Prasertpong, R., Iampan, A. (2025). Neutrosophic sets in IUP-algebras: a new exploration. International Journal of Neutrosophic Science, Volume 25(Issue 3), 540-560. DOI: https://doi.org/10.54216/IJNS.250343
Suayngam, Kannirun, Julatha, Pongpun, Prasertpong, Rukchart, Iampan, Aiyared. "Neutrosophic sets in IUP-algebras: a new exploration." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 540-560. DOI: https://doi.org/10.54216/IJNS.250343
Suayngam, K., Julatha, P., Prasertpong, R., Iampan, A. (2025) 'Neutrosophic sets in IUP-algebras: a new exploration', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 540-560. DOI: https://doi.org/10.54216/IJNS.250343
Suayngam K, Julatha P, Prasertpong R, Iampan A. Neutrosophic sets in IUP-algebras: a new exploration. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):540-560. DOI: https://doi.org/10.54216/IJNS.250343
K. Suayngam, P. Julatha, R. Prasertpong, A. Iampan, "Neutrosophic sets in IUP-algebras: a new exploration," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 540-560, 2025. DOI: https://doi.org/10.54216/IJNS.250343
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