利用Choquet积分研究了多目标模糊两人零和博弈Nash均衡问题.引入gλ测度描述任意博弈目标子集的重要程度,建立了基于gλ测度Choquet积分的多目标模糊博弈集结矩阵,验证了该博弈集结矩阵的Nash均衡也是各单目标模糊两人零和博弈的Nash均衡.
The Nash equilibrium of fuzzy two-person zero-sum game is investigated by the Choquet integral, gλ-measure is introduced to describe the importance of any goals' subset. A kind of aggregated game matrix of the fuzzy two-person zero-sum game with multi-goals was constructed based on the Choquet integral with respect to the gλ-measure. It certifies the conclusion that the Nash equilibrium of the aggregated game matrix was also that of each fuzzy two-person zero-sum game-with a single goal.