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求解多目标群体决策问题的压缩Tchebycheff范数交互规划方法
引用本文:庄海宜,秦志林.求解多目标群体决策问题的压缩Tchebycheff范数交互规划方法[J].南开大学学报,1994(1).
作者姓名:庄海宜  秦志林
作者单位:南通纺织工学院
摘    要:本文建立了联结决策个体偏爱结构的群体偏爱强度函数概念,在讨论Tchebycheff范数解的性质和构造压缩Tchebycheff范数模型的基础上,给出了一个求解多目标群体决策问题的交互式算法,并研究了算法的收敛性。

关 键 词:多目标规划,群体决策,交互规划方法

THE REDUCING TCHEBYCHEFF NORM INTERACTIVE PROGRAMMING ALGORITHM FOR SOLVING MULTIOBJECTIVE GROUP DECISION-MAKING PROBLEMS
Zhuang Haiyi, Qin Zhilin.THE REDUCING TCHEBYCHEFF NORM INTERACTIVE PROGRAMMING ALGORITHM FOR SOLVING MULTIOBJECTIVE GROUP DECISION-MAKING PROBLEMS[J].Acta Scientiarum Naturalium University Nankaiensis,1994(1).
Authors:Zhuang Haiyi  Qin Zhilin
Abstract:In this paper,the group preference strength function was proposed by combining the preference structures or decision-makers and the properties of Tchebycheff norm solutions were discussed and the reducing Tchebycheff norm model was constructed. On the basis of the theoretical frameworks above,an interactive algorithm was put forward for solving multiobjective group decision-making problems and its convergence was studied.
Keywords:multiobjective optimization  group decision-making  interactive programming algorithm  
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