具模糊信息的多数量多属性电子交易匹配问题

Matching model and algorithm for multi-unit multi-attribute exchanges with fuzzy information in E-brokerage

针对电子中介多数量多属性商品交易中存在的模糊信息,在运用模糊集理论描述模糊信息的基础上,从买卖双方视角给出了新的基于改进模糊信息公理的交易匹配度计算方法.由此建立了电子中介中具有模糊信息的多数量多属性商品交易匹配模型,模型属于带约束的非线性多目标运输问题,其优化目标是实现买卖双方交易匹配度和交易数量的最大化.考虑到模型的特点和复杂性,设计了基于Prüfer数编码的多目标离散差分进化算法求解该模型.仿真计算结果表明,提出的模型和算法是可行和有效的.

With respect to the fuzzy information of multi-unit multi-attribute exchanges in E-brokerage, this paper employs fuzzy set theory to represent the traders＇ orders with fuzzy information and proposes a new calculation method of matching degree based on the improved fuzzy information axiom from both the buyers＇ and sellers＇ points of view. Afterward, a mathematic model is built to maximize the matching degree and the trade quantity, and the model belongs to a class of nonlinear multi-objective transportation problems. According to the complexity and characteristics of the model, a multi-objective discrete differential evolution with Prtifer-encoding is developed to solve it. The model is useful and the algorithm is effective, which is verified by the simulation experiment and results analysis.