稳定性、公平性和满意性是衡量匹配方案优劣的重要依据,其直接影响和决定着匹配决策的质量和效率。针对含有灰色、模糊等不确定信息的双边匹配决策问题,运用灰色关联分析方法,从匹配主体的满意度、匹配方案的稳定性和公平性整体视角,构建基于满意度最大、满意度偏差最小的双边匹配决策多目标优化模型,并采用模拟植物生长算法,求解最优匹配方案,利用模型解决江苏省技术知识供需匹配问题。
The stability,fairness and satisfaction are the important basis of measuring the pros and cons of the matching schemes,and they directly influence and determine the quality and efficiency of matching decision-making.With respect to the two-sided matching decision-making problems with grey and fuzzy information,from the angle of the satisfaction degree of matching stakeholders,and the stabilities and fairness of matching schemes,the thought and method of grey incidence analysis is exploited to establish a novel two-sided fair matching decision-making model.In this paper,to begin with,some concepts such as matching information system,ideal objects,satisfaction coefficient and fair matching are defined,and then grey incidence analysis is utilized to construct a two-sided fair matching decision-making multi-objective optimal model based on the satisfaction degree maximization and distance deviation minimum,and then Plant Growth Algorithm is exploited to solve the matching schemes;finally,the proposed model is exploited to deal with the real problem of the matching supply and demand of technological knowledge in Jiangsu Province.