基于相对熵的不确定性群决策集成方法

Uncertain aggregation method on group decision making based on relative entropy

针对带有区间数的不确定性群决策问题做了研究.首先在区间数比较可能度概念的基础上,获得各个决策者对方案集不确定性评价的可能度矩阵,并将其转化为方案集的排序向量;然后从相对熵的概念出发,提出了一种相对熵的不确定性群决策最优化集成模型,讨论了模型的求解;最后实例分析表明文中所提方法的可行性和有效性.

The uncertain group decision making with interval numbers was studied. First the possibility degree matrices of uncertain evaluation provided by group decision makers were obtained on the basis of the concept of possibility degree of two interval numbers, and they were transformed into ranking vectors of alternative set. Then a relative entropy aggregation optimal model was proposed based on the concept of relative entropy, and the solutions of this model were also discussed. Finally the numerical example showed the effectiveness and feasibility of this model proposed in this paper.