1
University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
(smarand@unm.edu)
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
| Style | # |
|---|---|
| MLA | Florentin Smarandache. "New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set." International Journal of Neutrosophic Science, Vol. 20, No. 4, 2023 ,PP. 58-64 (Doi : https://doi.org/10.54216/IJNS.200404) |
| APA | Florentin Smarandache. (2023). New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 58-64 (Doi : https://doi.org/10.54216/IJNS.200404) |
| Chicago | Florentin Smarandache. "New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set." Journal of International Journal of Neutrosophic Science, 20 no. 4 (2023): 58-64 (Doi : https://doi.org/10.54216/IJNS.200404) |
| Harvard | Florentin Smarandache. (2023). New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 58-64 (Doi : https://doi.org/10.54216/IJNS.200404) |
| Vancouver | Florentin Smarandache. New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 4 ): 58-64 (Doi : https://doi.org/10.54216/IJNS.200404) |
| IEEE | Florentin Smarandache, New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 4 , (2023) : 58-64 (Doi : https://doi.org/10.54216/IJNS.200404) |