基于最大隶属度的区间概率灰色随机多准则决策方法

定义了一种灰色隶属函数.针对概率为区间数、准则值为区间灰数的灰色随机多准则决策问题,提出一种基于最大隶属度的决策方法.首先,运用区间数可能度排序向量将区间概率转化为点概率,并将其转化为无风险决策问题;然后,计算各方案在负理想方案到正理想方案上的灰色隶属度,并计算各方案准则值的相对灰度,进而根据灰色隶属度和相对灰度大小对方案进行排序;最后,通过算例验证了该方法的可行性和有效性.

Grey Random Multi-criteria Decision-making Approach Based on Maximum Membership Degree

The grey membership degree function is defined.As for the grey random multi-criteria decision-making problems, in which probabilities are interval numbers and the attribute value of alternatives are interval grey numbers,a decision-making approach based on maximum membership degree is proposed.Firstly,the decision-making problem is transformed into risk-free problem by using the probability degree ranking vector of interval numbers to transform interval probabilities into point probabilities.Then the grey m...