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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 25 , Issue 3 , PP: 540-560, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic sets in IUP-algebras: a new exploration

Kannirun Suayngam 1 , Pongpun Julatha 2 , Rukchart Prasertpong 3 , Aiyared Iampan 4 *

  • 1 Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Mae Ka, Mueang, Phayao 56000, Thailand - (kannirun.s@gmail.com)
  • 2 Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand - (pongpun.j@psru.ac.th)
  • 3 Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University, Nakhon Sawan 60000, Thailand - (rukchart.p@nsru.ac.th)
  • 4 Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Mae Ka, Mueang, Phayao 56000, Thailand - (aiyared.ia@up.ac.th)

    • Doi: https://doi.org/10.54216/IJNS.250343

    Received: March 28, 2024 Revised: June 29, 2024 Accepted: November 12, 2024
    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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    Cite This Article As :
    Suayngam, Kannirun. , Julatha, Pongpun. , Prasertpong, Rukchart. , Iampan, Aiyared. Neutrosophic sets in IUP-algebras: a new exploration. International Journal of Neutrosophic Science, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 540-560, 2025. DOI: https://doi.org/10.54216/IJNS.250343

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