This paper aims to consider the case of assignment problem with multi-objective, involving qualitative and quantitative objective. First, use fuzzy mathematic method to convert the efficiency value matrix of quantitative objective into corresponding optimization decision making matrix, simultaneously proposing the method to quantify the qualitative objective and establishing the optimization decision making matrix of qualitative objective. Then, integrate the optimization decision making matrices of all kinds of objectives, and establish multi-character multi-objective fuzzy mathematic model, considering the relative membership degree of integrated efficiency to all the rankings between “optimal” and “non-optimal”, obtaining the matrix of rank feature value. Last, combine with traditional assignment model to form multi-character multi-objective fuzzy assignment mathematic model, using Hungarian method to solve the model and illustrating the model by the allocation of different municipal projects to different developers.
胡达沙, 李萌. 多性质多目标模糊指派模型在市政工程开发商选择中的应用[J]. J4, 2007, 4(1): 81-.
HU Da-Sha, LI Meng. The Application of Multi-character Multi-objective Fuzzy Assignment Mathematic Model in the Choice of Municipal Project Developers. J4, 2007, 4(1): 81-.