模糊集下的多目标最优化  

Fuzzy Sets in Multiobjective Optimization

作　　者：李彩娟[1] 余秀萍[1] 

机构地区：[1]河北大学数学与计算机学院

出　　处：《河北建筑工程学院学报》2003年第1期89-90,94,共3页Journal of Hebei Institute of Architecture and Civil Engineering

摘　　要：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.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.

关 键 词：模糊集 隶属函数 多目标 最优化 线性规划 

分 类 号：O159[理学—数学]