一种新的基于离差最大化的客观权重确定模型

A Novel Model of Determining Objective Weights Based on the Maximal Deviation

针对两类利用离差计算属性客观权重的不足,提出了一种新的基于离差最大化的客观权重确定模型,此模型可以通过设置不同参数,来控制权重的差异程度,在实际决策中具有一定的适应性;并且很容易结合权重的主观偏好信息,使得到的综合权重同时兼顾主、客观信息。对于已知的主观权重偏好信息,建立了一个双目标规划模型,用TOPSIS方法求解得到了综合权重,最后用实例说明了该模型的有效性。

To overcome the shortcomings of two existing methods using deviation to caculate objective weights, a novel optimal model based on deviation is proposed to determine objective weights. The parameter in model can be set to eontrol the difference of the weight value, so it is more adaptable to the real problem. Furthermore, it is easy to integrate the subjective preference information, which can reflect both subjective and objective factors. For some subjective preferenee information, a two-objective programming model is established and solved by TOPSIS method. Finally, an example demonstrates the effectiveness of this model.