群决策环境下一种三类偏好关系的集结方法

A method for aggregating three types of preference relations in group decision making environment

在群决策环境下,专家们往往给出异类的偏好信息,如,模糊偏好关系、区间互补偏好关系、语言偏好关系.提出了一种新的集结这三类不同的偏好关系的方法,其基本思想是:先将不同类型信息转化为中间域(效用空间),然后进行集结.该方法的意义在于避免了不同类型偏好信息之间的直接相互转换,而且计算过程更加简便.首先,针对模糊偏好关系、区间互补偏好关系、语言偏好关系,利用效用的思想将这些偏好信息均转化为模糊偏好关系,并且讨论了转化过程的合理性.然后给出群决策过程中集结信息与选择最优方案的方法,最后通过实例验证了所提方法的实用性.

Experts often give heterogeneous types of preference information,such as fuzzy preference relations,interval reciprocal preference relations and linguistic preference relations,in a group decision making environment.A new method was developed for aggregating these three types of preference relations,whose basic idea is that different kinds of information are transformed into an intermediate field（an utility space）before they are aggregated.The advantage of this method is that the direct interconversion among those different kinds of preference information is avoided and the computation process is more simple.Firstly,considering fuzzy preference relations,interval reciprocal preference relations and linguistic preference relations,these preference relations were transformed into fuzzy preference relations based on the idea of utility,and the reasonability in the transforming process was discussed.Then an approach was provided to aggregate those kinds of information and select the best alternatives in the group decision making process.Finally,the practicability of this method was illustrated with an example.