分析了几种多目标规划解法的不足之处,在考虑多个目标之间的关联性的基础上,提出了一种新的求解多目标规划的方法.引入了灰色速率关联度来刻画目标函数之间的关联程度,定义了多目标转化为单目标的规则,利用此规则生成了新的目标函数,重新构建了约束条件.使用3种方法对同一多目标规划进行了求解,通过结果分析说明了基于灰色关联度的多目标规划解法的优越性.
Some shortages of several methods for multi-optimization problems are analyzed. A new method is proposed for multi-optimization problems. The relative degree of grey incidence is led into so as to describe the degree of incidence among objective functions. The rule, transforming from multi-optimization problems to simple-optimization problems, is defined. A new objective function and constraint requirements are reconstructed. A multi- optimization problem is solved by three methods. The new method's advantages are proved via analyzing the results.