一种基于Cook-Seiford函数的序区间群决策方法

A Method Based on Cook-Seiford Function for Group Decision Making with Ordinal Intervals

针对具有序区间偏好信息的群决策问题,提出了一种决策分析方法.首先,对具有序区间偏好信息的群决策问题进行了描述;然后依据传统Cook-Seiford函数解决群决策问题的基本思路,给出了求解具有序区间偏好信息的群决策问题的计算步骤,其核心是通过定义群体排序与各专家排序之间的距离,并依此建立最优化模型寻找一种群的排序,使之与各成员排序的总的距离最小,该排序即为方案最优排序;最后,通过一个算例说明了本文给出方法的可行性和有效性.

A method was proposed to solve the group decision making problem with preference information in ordinal interval form.Firstly,a description of the group decision making problem with preference information in ordinal interval form was given.Then,according to the basic thinking of tranditional Cook-Seiford function to solving group decision making problems,the calculation steps were given to solve group decision making problem with preference information in ordinal interval form,where the key point was to define the distance（s） between the rank（s） of group and the rank of each expert,and in order to find a rank of the group which has the smallest distance with the rank of each expert,a linear optimization model was constructed to obtain the ranking results of alternatives.Finally,an example was used to illustrate the feasibility and effectiveness of the proposed method.