多属性决策中基于离差最大化的组合赋权方法

依据多属性决策中属性权重的确定方法有多种,每种赋权方法有其各自的特点,为了综合利用各种赋权法的优势,基于离差最大化的基本原理,提出了一种组合赋权方法。该方法通过一个最优规划模型来确定组合权重。研究了模型的求解,给出权重的计算公式,探讨组合赋权方法的检验,确保组合权重能反映主观信息和客观信息,并总结该方法的计算步骤。最后进行实例分析,结果表明该组合赋权方法是有效性的。

Combination determining weights method for multiple attribute decision making based on maximizing deviations

There are many methods to determine weights for multiple attribute decision making, every method has its own characteristics. Based on maximizing deviations principle, an optimal combined weights model is proposed in order to make advantage of these methods. The optimal programming model determines the combined weights. Its solutions are studied, the formula of calculating weights is also given. The test of combined weights is discussed to ensure optimal combination weights can have objective and subjective information, and the calculating steps of the method are summarized. Finally, an example is illustrated to show effectiveness of this optimal combination weights model.