ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

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

International Journal of Neutrosophic Science
Review Article

Volume 20Issue 4PP: 58-64 • 2023

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

Florentin Smarandache 1*
1University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
* Corresponding Author.
verified

Open Access & Copyright

© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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

Choose your preferred format

format_quote
Smarandache, Florentin. "New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, 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, Volume 20(Issue 4), 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 Volume 20, no. Issue 4 (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, Volume 20(Issue 4), pp. 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. 2023;Volume 20(Issue 4):58-64. DOI: https://doi.org/10.54216/IJNS.200404
F. Smarandache, "New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, pp. 58-64, 2023. DOI: https://doi.org/10.54216/IJNS.200404
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready