群体多目标优化问题的α度联合有效解及最优性条件  

Optimality conditions and α-degree joint efficient solution for group multiobjective optimization problems

作　　者：陆晶[1,2] 贺莉[1] 魏彦吉[1,2] 刘庆怀[1] 

机构地区：[1]长春工业大学基础科学学院,吉林长春130012 [2]吉林农业大学发展学院基础部,吉林长春130600

出　　处：《长春工业大学学报》2013年第1期1-4,共4页Journal of Changchun University of Technology

基　　金：国家自然科学基金资助项目(10771020);吉林省自然科学基金资助项目(20101597)

摘　　要：群体多目标优化是群体决策与多目标优化相交叉的研究领域。由于群体多目标优化模型具有以定量和定性相结合的形式描述复杂决策过程的特点,它的理论和方法在现代社会的重大决策中有着广阔的应用前景。文中定义了群体多目标优化问题α度联合(弱)有效解,并得到了群体多目标优化问题的最优性必要条件。Group multiobjective programming is an interface field between group decision-making and multiobjective programming. It illustrates the co^mplex decision-making process in the form of integrating the quantity of models, thus demonstrating better application outlook in modern key social decision making. This paper defined a-degree joint efficient solution for group multiobjeetive optimization problems, and obtained optimality necessary condition for group multiobjective optimization problems.

关 键 词：群体决策 多目标优化 联合有效解 最优性条件 

分 类 号：O221.6[理学—运筹学与控制论]