针对匹配信息为直觉模糊偏好关系的双边匹配问题, 给出一种考虑主体风险偏好态度的决策方法. 首先, 定义了加性一致性直觉模糊偏好关系; 然后, 综合考虑主体给定的偏好关系以及风险偏好参数, 建立并求解一种一致性偏差最小的非线性规划模型, 从而获得最优排序向量; 进而将其作为相应匹配对象的匹配度信息. 在此基础上, 构建最大化双方匹配度之和的多目标匹配模型, 使用极大极小法转化为单目标线性规划模型, 求解模型得到匹配结果; 最后, 通过一个算例表明所提方法的可行性与有效性.

A matching decision-making method based on intuitionistic fuzzy preference relation (IFPR) was proposed to solve the bilateral matching problem considering agents' risk preference attitude. Firstly, we give a new definition of the additive consistent IFPR. After that, for any IFPR given by agents, a formula involves agent's risk preference attitude, is presented to obtain the optimal priorities by minimizing its deviation from the consistent IFPR. Then, a multi-objective optimization model maximized matching degree of both sides, which derived from priorities, was constructed. The minimax method based on membership function is used to transform the optimization model into a single-objective linear programming model, and the matching result obtained by solving this model. Finally, the example analysis shows the feasibility and validity of the proposed method.