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 · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 24Issue 1PP: 74-86 • 2024

Hypersoft Sets in a Game Theory-Based Decision Making Model

Florentin Smarandache 1* ,
V. Inthumathi 2 ,
M. Amsaveni 2
1Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA.
2Department of Mathematics, Nallamuthu Gounder Mahalingam College,Tamil Nadu, India.
* Corresponding Author.
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

[1] M.Abbas, G.Murtaza and F.Smarandache, Basic Operations on Hypersoft Sets and Hypersoft Point, Neutrosophic Sets and Systems, 35, 407-421, 2020.

[2] C.D.Aliprantis and S.K.Chakrabarti, Games and Decision Making, Oxford University Press, 2000.

[3] R.J.Aumann, Game Theory-Introduction , The New Palgrave Dictionary of Economics, 2nd Edition 2008.

[4] C.R Bector, S.Chandra and V.Vijay, Duality in Linear Programming with Fuzzy Parameters and Matrix Games with Fuzzy Pay-offs, Fuzzy Sets and Systems, 146, 253-269, 2004.

[5] C.R Bector, Fuzzy Mathematical Programming and Fuzzy Matrix Games, Springer-Verlag Berlin Heidelberg, 2005.

[6] K.Binmore, Fun and Games, A Text on Game Theoy, Chancellor Press London, 1982.

[7] L.Campos, Fuzzy Liner Programming Models to Solve Fuzzy Matrix Games, Fuzzy Sets and Systems, 32, 275-289, 1989.

[8] A.C.Cevikel and M.Ahlatcioglu, A New Solution Concept in Fuzzy Matrix Games, World Applied Sciences Journal, 7(7), 866-871, 2009.

[9] Y.W.Chena and M.Larbanib, Two-person Zero-sum Game Approach for Fuzzy Multiple Attribute Decision Making Problems, Fuzzy Sets and Systems, 157, 34-51,2006.

[10] N.Cagman and S.Enginoglu, Soft Set Theory and Uni-int Decision Making, Eur. J. Oper. Res. 207, 848- 855, 2010.

[11] V.Inthumathi, M.Amsaveni and M.Arun vignesh , Application of Hypersoft Sets in Covid-19 Decision Making Model, International Journal of Research and Analytical Reviews 9(3), 2022.

[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.

[16] T.Maeda, On Characterization of Equilibrium Strategy of Two Person Zero-sum Games with Fuzzy Payoffs, Fuzzy sets and systems 139, 283-296, 2003.

[17] P.K.Maji, A.R.Roy and R.Biswas, An Application of Soft Sets in Decision Making Problem, Computers and Mathematics with Applications 44, 1077-1083, 2002.

[18] D.A.Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with Applications, 37, 19- 31, 2009.

Cite This Article

Choose your preferred format

format_quote
Smarandache, Florentin, Inthumathi, V., Amsaveni, M.. "Hypersoft Sets in a Game Theory-Based Decision Making Model." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 1, 2024, pp. 74-86. DOI: https://doi.org/10.54216/IJNS.240107
Smarandache, F., Inthumathi, V., Amsaveni, M. (2024). Hypersoft Sets in a Game Theory-Based Decision Making Model. International Journal of Neutrosophic Science, Volume 24(Issue 1), 74-86. DOI: https://doi.org/10.54216/IJNS.240107
Smarandache, Florentin, Inthumathi, V., Amsaveni, M.. "Hypersoft Sets in a Game Theory-Based Decision Making Model." International Journal of Neutrosophic Science Volume 24, no. Issue 1 (2024): 74-86. DOI: https://doi.org/10.54216/IJNS.240107
Smarandache, F., Inthumathi, V., Amsaveni, M. (2024) 'Hypersoft Sets in a Game Theory-Based Decision Making Model', International Journal of Neutrosophic Science, Volume 24(Issue 1), pp. 74-86. DOI: https://doi.org/10.54216/IJNS.240107
Smarandache F, Inthumathi V, Amsaveni M. Hypersoft Sets in a Game Theory-Based Decision Making Model. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 1):74-86. DOI: https://doi.org/10.54216/IJNS.240107
F. Smarandache, V. Inthumathi, M. Amsaveni, "Hypersoft Sets in a Game Theory-Based Decision Making Model," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 1, pp. 74-86, 2024. DOI: https://doi.org/10.54216/IJNS.240107
Digital Archive Ready