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

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.