Abstract: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.