一种具有三角模糊系数的线性规划方法

A new approach to linear programming with triangular fuzzy coefficients

针对模糊系数的线性规划,提出了一种将三角模糊系数的线性规划转化为常规线性规划的方法,同时给出几个定理和命题以及相应的算法。该方法与常规方法的不同之处在于目标函数和限制条件中模糊系数的隶属度可以取不同的值。因此提出的方法取得的规划结果更加满足决策者的需要。最后通过实例说明该方法的有效性,并且表明该方法在某些条件下与一些常规方法是一致的。

In view of linear programming with fuzzy coefficients, an approach is proposed to transform linear programming with triangular fuzzy coefficient into traditional linear programming. Then several theorems and propositions and corresponding algorithms are presented. Each triangular fuzzy number membership is defined different values using the proposed method, which differed from the previous proposed methods. The results obtained by the proposed method are more fitful for the demands of people. Finally, an example is used to show that the proposed method is effective and consistent with some methods in some conditions.