摘要
针对现有双边匹配决策要求主体给出另一方全体偏好序信息的条件过于苛刻的问题,提出一种新的匹配方法.一方主体先两两比较另一方全体成员,给出直觉模糊集形式的评价值并由全体成员评价值组成直觉模糊偏好关系;然后,通过改进的最小对数二乘法对其进行转化,间接得到主体满意度;进一步以双方主体满意度最大为目标,同时考虑稳定匹配约束条件,建立单目标优化模型并求解获得匹配方案;最后,通过算例分析表明了所提出方法的可操作性和有效性.
Due to the harsh fact that existing bilateral matching required preference ordinals of opposite side members are provided by each agent, a novel method is developed. Agents provide evaluation in form of the intuitionistic fuzzy set through a pairwise comparison of alternatives, then generating an intuitionistic fuzzy preference relation of agents when applied to whole. By use of the improved minimum logarithmic square algorithm, the satisfaction degree of each agent is calculated based on the intuitionistic fuzzy preference relations（IFPR）. Furthermore, a single-object optimization model with stability constraint is developed, which maximizes satisfaction degree on both two sides＇ agents. The results can be obtained by solving this model. Finally, a numerical example is given to illustrate the feasibility and effectiveness of this method.
出处
《控制与决策》
EI
CSCD
北大核心
2015年第12期2212-2218,共7页
Control and Decision
基金
国家杰出青年科学基金项目(70925004)
国家自然科学基金项目(71371053)
福建省社科规划青年项目(FJ2015C111)
福建师范大学青年教师成长基金项目(VH-059)
关键词
双边匹配
直觉模糊偏好关系
改进最小对数二乘法
稳定约束
优化模型
bilateral matching
intuitionistic fuzzy preference relations
improved logarithmic least squares method
stability constraint
optimization model
