群体理想偏爱映射的若干理性条件(英文)  

Some Rational Conditions of Group Utopian Preference Mapping

作　　者：洪振杰[1] 徐贤胜[1] 叶帆[1] 

机构地区：[1]温州大学数学与信息科学学院,温州325035

出　　处：《运筹学学报》2007年第3期44-50,共7页Operations Research Transactions

基　　金：Project supported by the National Natural Science Foundation(70071026).

摘　　要：本文研究求解群体多目标最优化问题的理想偏爱法的性质,证明了对应的理想偏爱映射满足基数型群体决策规则的匿名性,中立性,正响应性,非负响应性,强Pareto原则以及局部非独裁性等理性条件.Some cardinal rational conditions as anonymity, neutrality, positive re sponsiveness, nonnegative responsiveness, Pareto rule and local nondictatorship are de fined and the group utopian preference mapping relative to group utopian preference method is proved to satisfy all these rational conditions.

关 键 词：运筹学 群体决策 理想偏爱映射 理性条件 

分 类 号：O153.3[理学—数学]