基于期望值-混合熵的区间概率模糊随机多准则决策方法

Interval probability fuzzy random multi-criteria decision-making approach based on expectation-hybrid entropy

定义了区间概率模糊随机变量及其期望值和混合熵.针对准则权重确知并且准则值为区间概率模糊随机变量的多准则决策问题,提出一种基于期望值-混合熵的决策方法.该方法首先给出了区间概率模糊随机变量的期望值-混合熵度量;然后基于此度量建立优化模型,通过计算得到各方案的期望值-混合熵区间;再采用可能度的方法得到方案集的排序.最后通过实例说明了该方法的有效性和可行性.

Random variable with interval probability, its expectation and hybrid entropy are defined. For a kind of multi-criteria decision-making problem, in which the criteria weights are precisely known and the criteria values are interval probability fuzzy random variable, an approach based on expectation-hybrid entropy is proposed. In this approach, a metric for interval probability fuzzy random variable called expectation-hybrid entropy is defined. By constructing the optimization model, the interval of expectation-hybrid entropy of each alternative is obtained. Then the possibility degree is utilized to rank all the alternatives. Finally, an example shows the feasibility and effectiveness of the method.