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为了研究信息不完整、不确定条件下的运输问题,建立了目标函数费用系数、供应量和需求量均为三角模糊的多目标模糊运输问题(MOFTP)模型。通过选用三角模糊数的大小关系将模糊目标函数转化为传统的目标函数,同时根据模糊数的数学特征将模糊等式约束转化为对应的不等式约束,然后对转化后的目标函数和约束条件进行整合,从而建立与多目标模糊运输问题等价的多目标线性规划模型,其最优解即为原多目标模糊运输问题的最优解。最后通过具体算例,证明了模型求解方法的可行性。
In order to study the transportation problem under the condition of incomplete information and uncertainties, a multi-objective fuzzy transportation problem (MOFTP) model with objective function cost coefficient, supply and demand are all triangular fuzzy is established. The fuzzy objective function is transformed into the traditional objective function by selecting the size of the triangular fuzzy number. At the same time, the fuzzy equality constraint is converted into the corresponding inequality constraint according to the mathematical characteristics of the fuzzy number, and then the transformed objective function and constraint conditions are integrated , So as to establish a multi-objective linear programming model equivalent to the multi-objective fuzzy transport problem. The optimal solution is the optimal solution to the original multi-objective fuzzy transport problem. Finally, a concrete example is given to prove the feasibility of the model solving method.