【摘要】 研究基于Zimmermann方法的区间多目标线性规划(IMOLP)的模糊求解方法。首先,将IMOLP化为一个参数规划,通过变量替换化为传统多目标线性规划,然后应用Zimmermann方法进行求解,得到含各目标函数总满意度变量的一个线性规划,并最终将其化为一个单目标的区间线性规划。基于此,分别求得IMOLP最大总满意度和最小总满意度下的Pareto解,并求出各目标函数的最优值区间。最后,给出算例。更多还原

【Abstract】 As an important access to solving multi-objective linear programming(MOLP),Zimmermann fuzzy method is applied in solving MOLP with interval parameters(IMOLP) in this paper.Firstly,IMOLP is transferred to a parameter programming.After taht it is changed into a MOLP by variables replacement.Then,the MOLP is solved by Zimmermann fuzzy method and is transformed to a LP with a total satisfactory degree.On this basis,the IMOLP is changed into an LP with interval parameters.Finally,the Pareto solutions of the IMOLP is obtained on condition of the maximum and the minimum total satisfactory degree.Furtermore,the interval optimal objective value of each objective function is aquired.An example is given in the end.更多还原