研究了大系统下的目标权重信息不确定情形的多目标博弈问题,利用区间数互补判断矩阵本身信息及赋权方法获得多目标博弈各目标权重,从而转化为单目标情形进行求解。对于目标权重不确定情形下的多目标博弈问题给出了具体的求解方法,实现了依据局中人对于方案的选择态度的不同给定不同的判断矩阵进而获得不同的结论,实例证明该方法具有实际可行性。
This paper studies multi-objective games under uncertain weights of objectives by utilizing properties of fuzzy interval matrix and methods of endowing weights in order to acquire weights of each objec- tive in multi-objective games, which is transferred the original problem into single-objective condition. This paper also offers the detailed algorithm of multi-objective games with uncertain weights of each objec- tive. Thus according to the attitudes of players in choosing alternatives, various judgment matrixes and conclusions can be obtained. Through an illustration, this method is proven to be practical and feasible.