灰偏好信息群决策的相对熵集结方法

Relative entropy method for group decision making with grey interval information

研究灰区间偏好判断信息下的群体决策集结方法问题。将决策专家的灰区间判断信息转化为等价的三元组灰偏好信息,并将其看作为一个概率分布,通过研究群体灰偏好概率分布与个体灰偏好概率分布之间一致性的关系,分别建立不同情形下专家群体决策的最优相对熵集结模型,分别给出了各优化模型的最优解,并提出相应的决策算法。气象局综合业务能力评价的实例分析表明,相对熵集结方法可以有效避免灰区间决策信息在集结过程中的失真与扭曲。

The research on aggregation method for group decision making with grey interval information is given.The grey interval judgment information is firstly transformed to the equivalent three-tuple grey preference,and then,this three-tuple is regarded as a probability distribution.Based on the consistent relation between the probability of collective grey preference and the probability of individual grey preference,the optimal relative entropy models for aggregating the judgment information of group decision making is developed,and the corresponding decision making procedures are also proposed.The ability evaluation of integrated service for weather bureau is provided to show that the relative entropy aggregating method can effectively avoid the information distortion for decision making.