摘要
考虑匹配主体是群且成员权重未知,提出一种基于偏好序信息的群双边匹配决策方法.先给出群双边匹配、综合满意度等概念.使用极大极小离差法求出主体群的成员权重,并通过OWA算子进行集结、生成一方主体群对另一方主体群的综合满意度.以最大化双方主体群的综合满意度之和为目标,建立0~1单目标优化模型并对模型解法进行拓展,求解模型获得最优匹配方案.最后通过实例说明该方法的简单、有效性.
An approach for group bilateral matching problem based on preference ordinals is proposed with unknown weights of both sides of agents. Firstly,the definitions of group bilateral matching,comprehensive satisfaction degrees are given. Second,use the OWA operator to aggregate each group members＇ satisfaction degree,whose weights is generated by so-called minimax disparity method with given optimism index. Then,a single-objective optimization model that maximizes the comprehensive satisfaction degree of both two sides is built and extended in this paper. The optimal matching outcome can be reached by solving this model. A numerical example is provided to illustrate the application of the proposed approach in a simple and effective way.
出处
《福州大学学报（自然科学版）》
CAS
北大核心
2015年第3期333-339,共7页
Journal of Fuzhou University(Natural Science Edition)
基金
国家杰出青年科学基金资助项目(70925004)
国家自然科学基金资助项目(70171035)
关键词
群双边匹配
偏好序
综合满意度
极大极小离差
OWA算子
优化模型
group bilateral matching
preference ordinals
comprehensive satisfaction degree
minimax disparity
OWA operator
optimization model
