International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 20 , Issue 4 , PP: 58-64, 2023 | Cite this article as | XML | Html | PDF | Review Article

New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set

Florentin Smarandache 1 *

  • 1 University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA - (smarand@unm.edu)
  • Doi: https://doi.org/10.54216/IJNS.200404

    Received: December 20, 2022 Accepted: April 01, 2023
    Abstract

    This is a review paper, where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.

    Keywords :

    Soft Set , HyperSoft Set , IndetermSoft Set , IndetermHyperSoft Set , MultiSoft Set , TreeSoft Set.

    References

    [1] Molodtsov, D. (1999) Soft Set Theory First Results. Computer Math. Applic. 37, 19-31

    [2] F. Smarandache, Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, vol. 22, 2018, pp. 168-170 DOI: 10.5281/zenodo.2159754; http://fs.unm.edu/NSS/ExtensionOfSoftSetToHypersoftSet.pdf

    [3] Florentin Smarandache, Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set (revisited), Octogon Mathematical Magazine, vol. 27, no. 1, April 2019, pp. 413-418

    [4] Florentin Smarandache, Introduction to the IndetermSoft Set and IndetermHyperSoft Set, Neutrosophic Sets and Systems, Vol. 50, pp. 629-650, 2022 DOI: 10.5281/zenodo.6774960; http://fs.unm.edu/NSS/IndetermSoftIndetermHyperSoft38.pdf

    [5] F. Smarandache, (2015). Neutrosophic Function, in Neutrosophic Precalculus and Neutrosophic Calculus, Brussels, 14-15, 2015; http://fs.unm.edu/NeutrosophicPrecalculusCalculus.pdf

    [6] F. Smarandache, Neutrosophic Function, in Introduction to Neutrosophic Statistics, Sitech & Education Publishing, 74-75, 2014; http://fs.unm.edu/NeutrosophicStatistics.pdf

    [7] F. Smarandache, Soft Set Product extended to HyperSoft Set and IndetermSoft Set Product extended to IndetermHyperSoft Set, Journal of Fuzzy Extension and Applications, 2022, DOI: 10.22105/jfea.2022.363269.1232, http://www.journal-fea.com/article_157982.htm

    [8] Shawkat Alkhazaleh, Abdul Razak Salleh, Nasruddin Hassan, Abd Ghafur Ahmad, Multisoft Sets, Proc. 2nd International Conference on Mathematical Sciences, pp. 910-917, Kuala Lumpur, Malaysia, 2010

    Cite This Article As :
    Smarandache, Florentin. New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 58-64. DOI: https://doi.org/10.54216/IJNS.200404
    Smarandache, F. (2023). New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. International Journal of Neutrosophic Science, (), 58-64. DOI: https://doi.org/10.54216/IJNS.200404
    Smarandache, Florentin. New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. International Journal of Neutrosophic Science , no. (2023): 58-64. DOI: https://doi.org/10.54216/IJNS.200404
    Smarandache, F. (2023) . New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. International Journal of Neutrosophic Science , () , 58-64 . DOI: https://doi.org/10.54216/IJNS.200404
    Smarandache F. [2023]. New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. International Journal of Neutrosophic Science. (): 58-64. DOI: https://doi.org/10.54216/IJNS.200404
    Smarandache, F. "New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set," International Journal of Neutrosophic Science, vol. , no. , pp. 58-64, 2023. DOI: https://doi.org/10.54216/IJNS.200404