基于差值测度和区间测度的多属性灰靶决策方法

Multi-Attribute Grey Target Decision Making Method Based on Difference Measure and Interval Measure

针对决策信息为区间灰数且属性权重未知的多属性决策问题,提出一种基于差值测度和区间测度的区间灰数信息下灰靶决策方法.首先,定义区间灰数的差值测度和区间测度,由此对区间灰数进行排序并确定正、负靶心;然后,给出区间灰数间的距离公式,通过计算正、负靶心距以及正负靶心间距确定综合靶心距,以综合靶心距最小化和灰熵最大化为目标确定属性权重,进而依据综合靶心距对方案进行排序;最后,通过一个实例验证该方法的有效性和可行性.

Aiming at the multi-attribute decision-making problem where the decision information is interval grey number and the attribute weight is unknown,a grey target decision-making method based on the difference measure and the interval measure is proposed.First,the difference measure and interval measure of interval grey numbers are defined,the interval grey numbers are sorted and the positive and negative bull’seye are determined.Then,the distance formula between interval grey numbers is given,the comprehensive target distance is determined by calculating the positive target distance,negative target distance and the distance between positive and negative target,the attribute weight is determined with the objective of minimizing the comprehensive target distance and maximizing the grey entropy,and then the schemes are sorted according to the comprehensive target distance.Finally,an example is given to verify the effectiveness and feasibility of the method.