中文摘要：

对给出方案优先序的多属性群决策问题,考虑每个属性下各决策的权重,提出一种最小偏差法：以群体偏好与各个体偏好之间的加权偏差最小为目标建立非线性整数规划模型,并将其转化为指派问题求得方案在每个属性下的群体排序;以方案在每个属性下的排序与其综合排序的加权偏差最小为目标,解得方案的最终群体综合排序结果。该方法将Cook-Seiford函数扩展到多属性及考虑权重的情形,避免了排序结果的非唯一性。最后,以供应商选择算例说明其应用。

英文摘要：

A minimum deviation method is proposed for multi-attribute group decision-making problem with ordinal preference of alternatives given by decision makers and weights of them with respect to each attribute.A nonlinear integer programming model minimizing the weighted deviations between the group＇s ordinal preferences and all individual ones of the alternatives under each attribute is developed and transformed to an assignment problem to obtain the group＇s rankings of the alternatives under each attribute.The final integrated rankings of the alternatives in the group＇s opinion are derived similarly.The proposed method extends the Cook-Seiford social selection function to decision-making with multi-attribute and experts＇ weights,and can obtain unique ranking result.A supplier selection example is presented to illustrate the method.