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International Journal of Neutrosophic Science
Volume 24 , Issue 1, PP: 74-86 , 2024 | Cite this article as | XML | Html |PDF

Title

Hypersoft Sets in a Game Theory-Based Decision Making Model

  Florentin Smarandache 1 ,   V. Inthumathi 2 ,   M. Amsaveni 3 *

1  Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA.
    (smarand@unm.edu)

2  Department of Mathematics, Nallamuthu Gounder Mahalingam College,Tamil Nadu, India.
    (inthumathi65@gmail.com)

3  Department of Mathematics, Nallamuthu Gounder Mahalingam College,Tamil Nadu, India.
    (amsavenim2000@gmail.com.)


Doi   :   https://doi.org/10.54216/IJNS.240107

Received: August 11, 2023 Revised: December 21, 2023 Accepted: March 24, 2024

Abstract :

In this study, we offer a hypersoft set theory-based game model for handling uncertainties. The term ”hypersoft game” refers to this newly suggested game. Four techniques of game solution are identified: hypersoft saddle points, hypersoft upper and lower values, hypersoft dominated strategy and hypersoft nash equilibrium. We build a two-person hypersoft game first. Additionally, we present real-world problems that the hypersoft saddle point approaches and hypersoft dominating strategy are used to tackle. In conclusion, we expand the hypersoft games from two players to n players.

Keywords :

hypersoft set; two person hypersoft games; hypersoft payoff functions; hypersoft dominated strategies; hypersoft lower and hypersoft upper values; hypersoft nash equilibrium.

References :

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[12] V.Inthumathi and M.Amsaveni, Hypersoft Matrices, Paper Presented in 87th Annual Conference of the Indian Mathematics Society, an International Meet, 2021.

[13] V.Inthumathi and M.Amsaveni, Product Hypersoft Matrices and its Applications in Multi-attribute Decision Making Problems, (Submitted).

[14] V.Inthumathi, M.Amsaveni and M. Nathibrami, On Hypersoft Semi-open Sets, Neutrosophic Sets and Systems, 57, 294-305, 2023.

[15] Irfan Deli, Naim Cagman, Application of Soft Sets in Decision Making Based on Game Theory, Annals of Fuzzy Mathematics and Informatics 11(3), 425-438, 2016.

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Cite this Article as :
Style #
MLA Florentin Smarandache, V. Inthumathi, M. Amsaveni. "Hypersoft Sets in a Game Theory-Based Decision Making Model." International Journal of Neutrosophic Science, Vol. 24, No. 1, 2024 ,PP. 74-86 (Doi   :  https://doi.org/10.54216/IJNS.240107)
APA Florentin Smarandache, V. Inthumathi, M. Amsaveni. (2024). Hypersoft Sets in a Game Theory-Based Decision Making Model. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 74-86 (Doi   :  https://doi.org/10.54216/IJNS.240107)
Chicago Florentin Smarandache, V. Inthumathi, M. Amsaveni. "Hypersoft Sets in a Game Theory-Based Decision Making Model." Journal of International Journal of Neutrosophic Science, 24 no. 1 (2024): 74-86 (Doi   :  https://doi.org/10.54216/IJNS.240107)
Harvard Florentin Smarandache, V. Inthumathi, M. Amsaveni. (2024). Hypersoft Sets in a Game Theory-Based Decision Making Model. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 74-86 (Doi   :  https://doi.org/10.54216/IJNS.240107)
Vancouver Florentin Smarandache, V. Inthumathi, M. Amsaveni. Hypersoft Sets in a Game Theory-Based Decision Making Model. Journal of International Journal of Neutrosophic Science, (2024); 24 ( 1 ): 74-86 (Doi   :  https://doi.org/10.54216/IJNS.240107)
IEEE Florentin Smarandache, V. Inthumathi, M. Amsaveni, Hypersoft Sets in a Game Theory-Based Decision Making Model, Journal of International Journal of Neutrosophic Science, Vol. 24 , No. 1 , (2024) : 74-86 (Doi   :  https://doi.org/10.54216/IJNS.240107)