基于直觉模糊集和证据理论的群决策方法

针对属性值和权重均为直觉模糊数的多属性决策问题,提出一种基于直觉模糊集和证据理论的群决策方法.首先,对专家给出的每个方案的属性值和属性权重进行证据合成,在此基础上合成每个方案的所有属性值;然后,基于直觉模糊集相似度确定专家的相对权重,修正方案证据,并合成所有专家证据,得到方案的信任区间,根据信任区间的大小对方案进行排序;最后,通过数值案例验证了所提出方法的有效性和合理性.

Approach to group decision making based on intuitionistic fuzzy sets and evidence theory

With respect to the problem of multiple attribute decision-making,in which the attribute values and weights are given in terms of intuitionistic fuzzy numbers,an approach to group decision making based on intuitionistic fuzzy sets and evidence theory is proposed.Firstly,attribute values and weights are combined by using the rule of evidence combination,and all of attribute values considering weights are combined for every alternative.Secondly,the relative weights of experts are verified by calculating the similarity of intuitionistic fuzzy sets,the basic probability assignment is adjusted by experts’ weights,and the belief intervals of alternatives are gained by combining all experts’ evidences.Then, the ranking of alternatives is gained by comparing belief intervals.Finally,the numerical case is studied,and the result shows the effectiveness and rationality of the proposed method.