基于权值向量的偏好多目标优化方法

偏好多目标优化方法是多目标优化领域的一个重要分支，其主要目的是仅搜索Pareto前沿面上部分区域内决策者感兴趣的解.基于MOEA/D算法根据预先设定的均匀分布的权值向量搜索Pareto最优前沿面的思想，本文提出了一种基于权值向量的偏好多目标优化方法，该方法通过引入具有偏好信息的权值向量，使算法仅搜索偏好点附近的解.仿真实验结果表明，与现有偏好多目标优化算法相比，本文方法具有支持多偏好点、偏好区域大小可控、偏好点位置无特别要求及偏好解具有更好收敛性的优势.

A Weight Vector Based Mu lti-objective Opti mization Algorith m with Preference

Multi-objective optimization algorithms with preference are an important branch of multi-objective optimiza-tion.Its main aim is to find the Pareto optimal solutions in local regions interested by Decision Makers.Based on the idea of MOEA/D algorithm to search the Pareto front according to uniformly distributed weight vector,this paper proposes a weight vector based multi-objective optimization algorithm with preference.In the proposed method,the weight vector with preference is designed,by which the solutions around the preferred point interested by Decision Maker are found.Compared with existing algorithms,the simulation results verify that the proposed method can support multiple reference points,flexibly control the ex-tent of preferred region,have no special requirement of the position of preference points and achieve better converge.