摘要
研究了一类具有模糊系数约束的多目标线性规划问题.根据各目标函数的梯度方向来量化目标之间的冲突程度,以此提出了一种确定目标权重的新方法,然后基于惩罚函数运用梯度上升算法求问题的有效解.最后给出了一个数值例子.
The multi-objective linear programming problems with fuzzy coefficient constraints are studied. According to the degree of conflict among objectives, which is measured by the angle between the gradients of objectives, a new method for determining the weight of objectives is presented. Based on the penalty function, a gradient ascent algorithm is developed to find the efficient solution. Finally, an illustrative numerical example is given.
出处
《海军工程大学学报》
CAS
2004年第1期40-44,共5页
Journal of Naval University of Engineering
关键词
模糊系数
多目标线性规划
惩罚函数
梯度上升算法
multi-objective linear programming
fuzzy coefficients
penalty function
gradient ascent algorithm
