群体多目标决策联合有效解类的不变凸充分条件(英文)  

Several Invex Optimality Sufficient Conditions for a Class of Joint Efficient Solution to Group Multiple Criteria Decision Making Problem

作　　者：王中兴[1] 杨雷[2] 

机构地区：[1]广西大学数学与信息科学系,南宁530004 [2]上海交通大学应用数学系,上海200030

出　　处：《运筹学学报》2002年第3期27-34,共8页Operations Research Transactions

基　　金：Supported by the National Natural Science Foundation of China(No.79670056)

摘　　要：对于群体多目标决策问题,文[1]引进它的联合有效解类的概念,并给出这类解的最优性必要条件.在对于问题的目标函数和约束函数附加凸性的条件下,文[2]又给出了联合有效解类的最优性充分条件.本文进一步在目标函数和约束函数具不变凸和不变广义凸的情况下,分别给出了联合有效解类的若干最优性充分条件.In [1], the concept of a class joint efficient solution to group multiobjective decision making problem is introduced, as well as some optimality necessary conditions for these solutions. In [2], some optimality sufficient conditions for efficient solution are studied while the objective and constraint functions are convex. In this paper, several optimality sufficient conditions for class of joint efficient solution are obtained under the condition that the objective and constraint function are invex and generalized invex.

关 键 词：群体决策 多目标决策 联合有效解 不变凸函数 最优性条件 

分 类 号：O22[理学—运筹学与控制论]