一种基于Max-Min方法的带模糊约束线性规划的解法

Solution to Fuzzy Linear Programming with Elastic Constrains and Its Application

带模糊约束线性规划的关键是如何将其转化为经典的线性规划加以求解,文中基于Werners提出的Max-Min方法,通过对目标函数及约束条件的隶属函数进行加权,建立了一个新的(LP)模型,该方法从理论上证明了其解的模糊有效性,并用实例证明新模型下的解更有效.

This artical proposed a new solution to a fuzzy- linear programming with elastic constrains, which is improved based on the Max-Min solution. A new LP model is established through a general consideration of the membership function of the goal and constrains. The result of the new method is fuzzy efficient in theory. Moreover, an example is given to illustrate the solution which is efficient under the new model.