模糊集下的多目标最优化

多目标最优化问题，是现实生活中常常遇到的问题，较之单目标规划极大地加大了计算难度，本文通过引入模糊隶属函数，使我们的问题转化为清晰线性规划LP，再运用单目标规划方法进行解题，这样大大简化了我们的运算，而且更实用．

Fuzzy Sets in Multiobjective Optimization

In mathematical programming, problems are expressed as optimizing some goal function given certain constraints. The multiple objectives must be combined in some way to become one single objective. Another possible useful method is Fuzzy Sets. The following section will illustrate how fuzzy sets can be quite useful in combining multiple objectives without the need for calibrating any weights or selecting an ordered rank of importance for objectives. It instead uses specified preferences for goals, which can be modeled into fuzzy membership functions.