Author(s)

Shijing Zhang, Chengcheng Wang, Li Xiang, Dong Qiu

Corresponding Author

Shijing Zhang

Abstract

In this paper, linguistic intuitionistic fuzzy numbers are introduced into the bimatrix game under quantitative conditions to better solve the uncertainty in the linguistic environment, to obtain a better strategy set in the competition between the two players. Scaling functions are used to map linguistic intuitionistic fuzzy numbers to intervals [0,1]; then, the solution methods of linear and nonlinear bi-objective programming models are established according to the Nash equilibrium theorem. Taking two vaccines in China as an example, this paper applies the model to the competition of these two vaccines in a linguistic environment and uses the bimatrix with linguistic intuitionistic fuzzy numbers to play the game.

Keywords

Linguistic Scale Function, Bimatrix Game, Bi-Objective Programming, Vaccine Competition