Integration of mixed fuzzy bimatrix games in multi-conflict conditions
Jianjun Zhang · Journal of Naval University of Engineering · 2010
Aiming at the uncertain multi-conflict conditions with fuzzy strategy sets and fuzzy payoffs,the synthetic aggregation model of mixed fuzzy bimatrix games was established.Based on the constraints,the feasible strategy string sets of the players for multi-conflict conditions were constructed,and a new outcome space was established;by the operations of fuzzy numbers,the synthetic outcome fuzzy payoffs were obtained while fuzzy payoffs were triangular fuzzy numbers,and then the synthetic aggregation model of mixed fuzzy bimatrix games in multi-conflict conditions was established.The aggregation model can be used for solution by transforming it into a clear bimatrix game.Finally,a military example was provided for illustrating the practicality and affectivity of the model.