基于双层专家权重确定的风险型大群体决策

针对风险型大群体决策问题,考虑专家权重确定的复杂性,提出基于累积前景理论的决策信息处理和考虑双层专家权重确定的大群体决策方法.采用二元语义获取并表达专家的评价信息;基于累积前景理论计算方案的综合前景价值矩阵;采用双层专家权重确定方法,第1层利用聚类方法对大群体成员价值向量进行聚类,根据聚类结果确定聚集群权重, 第2层利用熵权法获得专家熵权,二者结合得到专家权重.通过确定专家权重和综合前景价值矩阵得出最终的决策结果.最后通过算例表明了所提出方法的可行性和有效性.

Risky large group decision-marking based on two-lawyer expert weight determination

Aiming at the problem of risky large group decision-marking and considering the complexity of experts'' weights determination, a large-group decision-making approach based on the cumulative prospect theory and two-lawyer expert weight determination is proposed. The 2-tuple linguistic representation model is used to capture and express the evaluation information of experts. The comprehensive prospect value matrix for alternatives is calculated by using the cumulative prospect theory. A two-lawyer expert weight determination method is proposed. Value vectors of experts are classified by using the clustering method and clusters'' weights are confirmed by using the clustering result at the first lawyer. The experts'' entropy weights are obtained by using the entropy weight method at the second lawyer. The final experts'' weights are got by combining the clusters'' weights and the experts'' entropy weights. The final decision result is obtained by considering the experts'' weights and the comprehensive prospect value matrix. Finally, a practical example is provided to illustrate the effectiveness and feasibility of the proposed approach.