基于决策者信任度的风险型混合多属性群决策方法

Method of hybrid multi-attribute group decision-making with risk under decision-makers' confidence

考虑决策者对风险型混合多属性评价结果的信任程度不同,提出基于前景理论和改进投影理论的群决策方法.建立一个数组以描述在不同信任度下群决策专家的评价结果,并将数组中混合数据类型转化为三角模糊数.在考虑决策者信任度的前提下集结群信息、确定属性权重.引入综合前景价值和考虑权重的投影相对接近度两种方法对方案进行排序.最后通过实例表明了所提出方法的合理性和有效性.

With respect to the different confidence on the decision result from the different decision-makers to the hybrid multi-attribute group decision-making under risk, two approaches to group decision-making based on prospect theory and improved projection theory are proposed. Firstly, an array is established to record the evaluation result from the group decision-makers. Mixed decision data in the array is changed into the triangular fuzzy number. Considering the confidence degree from single decision-maker to evaluation result, the group decision information is aggregated and the weights of attributes are calculated. Two methods are proposed to rank the alternatives, which are comprehensive prospect value from the prospect theory and relative closeness degree from the improved projection method. Finally, an application case is given to demonstrate the reasonability and effectiveness of the proposed approach.