含模糊变量的两层多目标线性规划方法

发布时间：2018-03-14 12:03

本文选题：模糊变量　切入点：两层多目标　出处：《科技通报》2017年08期 　论文类型：期刊论文

【摘要】：为了求出在线性规划中模糊变量的最优解或比较优越的解为多少,需要对含模糊变量的两层多目标线性规划方法进行研究。但当前方法是将IMOLP作为参数规划,通过变量转化为多目标的线性规划,然后利用齐墨尔曼方法对此进行求解,得出含多目标函数的总变量的线性规划,最终将其转化为单目标的线性规划,并求出各目标函数的最优值区间,但该方法存在准确性较低的问题。为此,提出一种含模糊变量的两层多目标线性规划方法。该方法首先利用新的假设模糊数序关系将其先转化为一个多目标线性规划问题,然后再转化为两层多目标的线性规划问题,结合两层目标函数的含模糊变量的多目标线性规划数学模型转换为线性规划问题对此进行求解,由此完成对含模糊变量的两层多目标线性规划进行求解。数值实例证明,可求出含模糊变量的两层多目标性规划的最优解。
[Abstract]:In order to find out the optimal solution or superior solution of fuzzy variables in linear programming, it is necessary to study the two-level multiobjective linear programming method with fuzzy variables. However, the current method regards IMOLP as parameter programming. By transforming variables into multiobjective linear programming, then using Zimmermann method to solve this problem, the linear programming of total variables with multi-objective functions is obtained, and finally it is transformed into single-objective linear programming. The optimal value interval of each objective function is obtained, but the accuracy of the method is low. In this paper, a two-level multiobjective linear programming method with fuzzy variables is proposed, which is first transformed into a multiobjective linear programming problem by using a new assumption of fuzzy number order relation, and then into a bilevel multiobjective linear programming problem. The mathematical model of multiobjective linear programming with fuzzy variables is transformed into a linear programming problem by combining the two-level objective function with fuzzy variables. Thus, the two-level multiobjective linear programming with fuzzy variables is solved. The numerical example shows that, The optimal solution of bilevel multiobjective programming with fuzzy variables can be obtained.
【作者单位】：汉江师范学院数学与财经系;
【分类号】：O221.1

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