Extending the strategy game from multi-criteria considerations with linguistic variables

Recently, it is an important issue for combining multi-criteria decision making (MCDM) with game theory to deal with the decision-making problems in real situations. The goal of this study is to develop a mechanism for integrating multi-criteria decision making with game theory based on the concept of the method proposed by Song and Kandel (1999). According to the proposed method, decision makers can use linguistic variables to evaluate the performance of their strategies with respect to different criteria by considering the strategies condition of their competitors. And then, a numerical example is implemented to illustrate the computational processes of the proposed method. The conclusion and future research are discussed at the end of this paper.