International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 25 , Issue 3 , PP: 144-154, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Several arithmetic operations on neutrosophics type-2 fuzzy sets

Brahim Ziane 1 * , Soheyb Milles 2

  • 1 Laboratoire de Math´ematiques et Physique Appliqu´ees, ´E cole Normale Sup´erieure de Bousaada 28001, Algeria - (ziane.brahim@ens-bousaada.dz)
  • 2 Department of Mathematics, Institute of Science, University Center of Barika, Algeria - (soheyb.milles@cu-barika.dz)
  • Doi: https://doi.org/10.54216/IJNS.250314

    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

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    Cite This Article As :
    Ziane, Brahim. , Milles, Soheyb. Several arithmetic operations on neutrosophics type-2 fuzzy sets. International Journal of Neutrosophic Science, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 144-154, 2025. DOI: https://doi.org/10.54216/IJNS.250314