中文摘要：

针对模糊系数的线性规划，提出了一种系数为对称梯形模糊数的线性规划的方法，同时得出一些定理、命题以及相应的算法，并通过实例验证了该方法的有效性．该方法与常规方法的不同之处在于无须将模糊线性规划转化为经典线性规划就能得到满意的模糊优化解，因此提出的方法所取得的规划结果更加满足决策者的需要．

英文摘要：

In dealing with the linear programming with fuzzy coefficients, we propose a linear programming method involving symmetrical trapezoidal fuzzy numbers, and give the corresponding theorems, propositions and algorithms. The efficiency of the method is demonstrated by an example. The proposed method differs from the conventional ones in the fact that the optimal solution can be obtained without transforming it into the classical linear programming. This makes the results more desirable to the decision makers.