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多目标线性规划的一种矩阵对策方法
引用本文:曹东 谭贵方. 多目标线性规划的一种矩阵对策方法[J]. 系统工程学报, 1996, 11(4): 61-68
作者姓名:曹东 谭贵方
作者单位:深圳大学软科学系
基金项目:国家教委留学回国人员科研基金
摘    要:提出了一种求解多目标线性规划问题的人机对话方法,其基本原理与STEM方法大致相同,但采用了两人零和混合对策思想确定Tchebychev距离中的相对权重,使权重的确定方法较传统的机械式相对固定权重确定方法更为合理

关 键 词:多目标线性规划,有效解,矩阵对策,人机对话方法

AN INTERACTIVE METHOD FOR MULTI OBJECTIVE LINEAR PROGRAMMING USING MATRIX GAME THEORY
Cao Dong Tan Guifang. AN INTERACTIVE METHOD FOR MULTI OBJECTIVE LINEAR PROGRAMMING USING MATRIX GAME THEORY[J]. Journal of Systems Engineering, 1996, 11(4): 61-68
Authors:Cao Dong Tan Guifang
Abstract:A new interactive multi objective linear programming method is presented, which is principally similar to the STEM method. However, during the interactive process, the sequentially varying "relative ideal points" are used instead of the original ideal point, and the deviation weights of the generalized Tchebychev distance to the "relative ideal points" are determined using game theory, the weights determined in this way are more reasonable than those determined in classical ways.
Keywords:multiobjective linear programming   efficient solution   matrix game   interactive method  
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