基于主观与客观集成的属性权重求解方法

针对属性权重未知且属性值为定值的多属性决策问题,分析了两类求解属性客观权重方法的不足,建立了客观权重模型合理性的判定定理。提出了基于熵系数的客观权重模型,此模型可以根据决策的实际情况而设置系统参数,来调节权重的大小程度,所以具有一定的适应性。通过折衷系数把主观权重与客观权重集成,使得到的综合权重同时反映主观和客观程度。最后的实例说明该方法是有效可行的。

Method to determine attribute weights based on subjective and objective integrated

The multi-attribute decision-making problems is studyed,in which the information about attribute weights is completely unknown and the attribute values are numeric.Firstly,the shortcomings of two existed methods are analysed and a rule to estimate the rationality of methods for determining objective weight is set up.Secondly,a new method is proposed based on entropy of attributes,which can adjust the weight value and is more adaptable to the real problem.Furthermore,the subjective weight and the objective weight are integrated into general weight by trade-off coefficients,which can reflect both subjective factors and objective factors.Finally,an example demonstrates the practicability and validity of this approach.