模糊线性规划的图解法

Graphic method of fuzzy linear programming

模糊线性规划的解法通常是把它转化为经典线性规划问题求解，需借助算法程序由计算机求解。为寻求一种简单的解法，受经典线性规划图解法的启发，提出了一种模糊线性规划的图解法，并证明了它的合理性。这种图解法，适用于求解约束条件有伸缩性的二维模糊线性规划问题，简便直观，不需要计算机及算法程序，并能通过图形直观地给出决策变量的可行域及其在可行域内变化时目标函数的变化趋势，便于对最优化问题进行分析。

The fuzzy linear programming is usually solved by being transmitted into classical liner programming and a algorithm program of computer is needed. The goal of this paper is to find a simple graphic method to solve the fuzzy linear programming. Under insperation of the graphic method of classical linear programming, this paper puts forward a graphic method of fuzzy linear programming and proves it is correct. This method is appliable to two dimensional fuzzy linear programming with elastic contraints. It is simple and convenient, directly perceived through the senses. It can also gives the possible solution region of decision variables and the changing tendencey of objective function when the variables change in the possible solution region, so it is convenient to analyse the solution of the fuzzy linear programming.