多目标多参数模糊线性规划

本文考虑多目标线性规划。以含有待定参数的线性隶属函数取代各目标,用取小算子—min进行综合,定义相对的模糊有效解作为原规划的平衡解。给出求解的数学模型,着重讨论这种模型的单纯形算法。结果表明:这种规划具有较强的适应性、灵活性和内在规律性。

Multiobjctive and Multiparametric Fuzzy Linear Programming

The multiobjective linear programming problem is considered in this paper. The linear membership functions containing the undetermined parameter is used instead of objective functions and the minimun operator"rain" is used in the synthesis of them. The relative fuzzy efficient solution has been defined, that is regarded as the compromise solution of the original programming. The mathematical model of the solving of the problem has been given, and the stress is laid on the discussion of the simplex algorithm for solving this model. The results show that the programming of such kind has more suitability, flexibility, and intrinsic regularity.