A novel consensus reaching framework for heterogeneous group decision making based on cumulative prospect theory
A novel consensus reaching framework for heterogeneous group decision making based on cumulative prospect theory
复制标题
基于累积前景理论的异构群体决策新共识框架
DOI：
10.1016/j.cie.2018.11.063
复制
发表时间：
2019
影响因子：
7.9
通讯作者：
Li Jia
中科院分区：
文献类型：
--
作者：
Xu Weijun;Huang Shaoying;Li Jia
本文考察了决策者在共识构建中的有限理性，提出了一个基于累积前景理论的直接共识框架，用于解决具有8种偏好表征结构的群体决策问题。该框架包括两个过程：选择过程和共识过程。在选择过程中，我们首先使用不同的变换函数将不同的偏好结构转换成统一的个体偏好向量。然后，根据个体偏好向量和得失矩阵，利用偏好审批结构和前景值矩阵确定参考点；第三，设计优化模型获得决策权重，进而得到备选方案的前景值。在共识过程中，应用累积前景理论定义共识测度，设计反馈调整使共识更好，必要时经过多次迭代输出满意的综合前景值；然后，得到最终最优解。最后，通过实例说明了该框架的有效性。
This paper examines decision makers’ bounded rationality in consensus building, and proposes a direct consensus framework based on cumulative prospect theory to solve group decision making problem with eight kinds of preference representation structures. This framework consists of two processes: selection process and consensus process. In selection process, we first transform different preference structures into uniform individual preference vectors using different transformation functions. Then, according to the individual preference vectors and gain and loss matrices, we determine reference points using preference-approval structures and the prospect value matrix. Third, we design an optimization model to obtain decision weights, and further get the prospect values of alternatives. In consensus process, we define a consensus measure by applying cumulative prospect theory, design a feedback adjustment to make consensus better, and output satisfying comprehensive prospect value after several iterations if necessary; then, the final optimal solution is obtained. At last, an example is provided to illustrate the effectiveness of framework.