基于三参数区间灰数信息的多属性决策问题的折中比值法

The Compromise Ratio Method for MADM under the Information of Three-parameter Interval Grey Number

针对决策信息为三参数区间灰数的多属性决策问题,本文结合灰靶决策的优点,构建了三参数区间灰数信息下的多属性决策问题的折中比值求解法。首先定义了三参数加权正靶心距和加权负靶心距,并在此基础上提出了基于群特征根法的考虑决策者主观态度的折中比值决策法。最后,应用实例说明了决策方法的实用性和有效性。

For multi-attribute decision making problems in decision information for the three parameter interval grey number,this paper combines the advantages of grey target decision method,a compromise ratio method is constructed for multi-attribute decision making problem. The first,positive and negative weighted bull 's-eye distances of three-parameter interval grey numbers are defined. Then on the basis of the predefined distances,a compromise ratio method combining with group eigenvalue method is proposed. The new method can reflect the subjective attitude of decision makers. Finally,an application example illustrates the practical and effective of the decision-making method.