Hypersoft Sets in a Game Theory-Based Decision Making Model

Florentin Smarandache1, V.Inthumathi2, M.Amsaveni 3∗

1Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA.

2Department of Mathematics, Nallamuthu Gounder Mahalingam College,Tamil Nadu, India.

3Department of Mathematics, Nallamuthu Gounder Mahalingam College,Tamil Nadu, India.

Emails: smarand@unm.edu, inthumathi65@gmail.com, amsavenim2000@gmail.com.

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,