灰色系统理论是我国学者邓聚龙教授在一九八二年创立的新兴的边缘学科,已广泛应用农业、气象、交通、商业等部门的预测、分析、规划和决策。本文引入灰色系统理论中的灰色关联度分折方法,为求解多目际优化问题提供了一种新的途径。一、多目标优化问题一般地,多目标优化问题可表述为求x=[x_1]~T (i=1.2,…,n)使得minF(x)=[f_1(x),f_2(x),…,f_m(x))~Ts·t·gk(x)≤0 (k=1,2,…,P)为便于分析讨论,这里是引入多目标优化问 The theory of gray system is a new and emerging subject developed by Professor Deng Ju-long, a scholar in our country. It has been widely applied in the fields of prediction, analysis, planning and decision-making of agriculture, meteorology, transportation and commerce. In this paper, we introduce the method of gray correlation analysis in gray system theory to provide a new way to solve multi-objective optimization problems. First, the multi-objective optimization problem In general, the multi-objective optimization problem can be expressed as x = [x_1] ~ T (i = 1.2, ..., n) such that minF (x) = [f_1 (x), f_2 ..., f_m (x)) ~ Ts · t · gk (x) ≤0 (k = 1,2, ..., P) To facilitate analysis and discussion, here is the introduction of multi-objective optimization