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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 3PP: 144-154 • 2025

Several arithmetic operations on neutrosophics type-2 fuzzy sets

Brahim Ziane 1* ,
Soheyb Milles 2
1Laboratoire de Math´ematiques et Physique Appliqu´ees, ´E cole Normale Sup´erieure de Bousaada 28001, Algeria
2Department of Mathematics, Institute of Science, University Center of Barika, Algeria
* Corresponding Author.
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Open Access & Copyright

© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: February 24, 2024 Revised: May 26, 2024 Accepted: September 27, 2024

Abstract

In this paper, we explore the theoretical foundations of neutrosophics type-2 fuzzy sets by investigating its algebraic properties, demonstrating how neutrosophics type-2 fuzzy sets can generalize and extend existing operations in Type-1 and traditional Type-2 fuzzy sets. We also provide illustrative examples to clarify the practical applications of these operations, showcasing the potential of neutrosophics type-2 fuzzy sets in areas requiring sophisticated decision-making tools and uncertainty management.

Keywords

Type-2 fuzzy set Intuitionistic type-2 fuzzy set Neutrosophics type-2 fuzzy set

References

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[18] Brahim Ziane and Abdelaziz Amroune. Representation and construction of intuitionistic fuzzy tpreorders and fuzzy weak t-orders. Discussiones Mathematicae: General Algebra & Applications, 41(1), 2021.

 

Cite This Article

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Ziane, Brahim, Milles, Soheyb. "Several arithmetic operations on neutrosophics type-2 fuzzy sets." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 144-154. DOI: https://doi.org/10.54216/IJNS.250314
Ziane, B., Milles, S. (2025). Several arithmetic operations on neutrosophics type-2 fuzzy sets. International Journal of Neutrosophic Science, Volume 25(Issue 3), 144-154. DOI: https://doi.org/10.54216/IJNS.250314
Ziane, Brahim, Milles, Soheyb. "Several arithmetic operations on neutrosophics type-2 fuzzy sets." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 144-154. DOI: https://doi.org/10.54216/IJNS.250314
Ziane, B., Milles, S. (2025) 'Several arithmetic operations on neutrosophics type-2 fuzzy sets', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 144-154. DOI: https://doi.org/10.54216/IJNS.250314
Ziane B, Milles S. Several arithmetic operations on neutrosophics type-2 fuzzy sets. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):144-154. DOI: https://doi.org/10.54216/IJNS.250314
B. Ziane, S. Milles, "Several arithmetic operations on neutrosophics type-2 fuzzy sets," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 144-154, 2025. DOI: https://doi.org/10.54216/IJNS.250314
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