Integration of Bimatrix Games with Fuzzy Strategy Sets and Fuzzy Payoffs

Aiming at the uncertain multi-conflict situations, the aggregation model of bimatrix games with fuzzy strategy sets and fuzzy payoffs is established in this paper. Based on the constraints, the feasible strategy string sets of the players for multi-conflict situations are constructed, and a new synthetic outcome space is established. Using the operations of triangular fuzzy numbers, the fuzzy payoffs for all synthetic outcomes are calculated. Then, the fuzzy synthetic aggregation model is established and solved by transforming it into a crisp bimatrix game. Finally, a military example is provided to illustrate the practicality and effectivity of the model.