群体多目标决策的联合有效解类及其最优性条件

群体多目标决策是群体决策的一个新的研究方向．一些学者曾借助群体效用函数引进群体多目标决策问题有关效用解的概念，并且给出若干求解的方法．本文撇开效用函数的介入，直接依据由各多目标决策问题的Ｐａｒｅｔｏ有效解表示的供选方案的有效数，引进了决策群体在供选方案集上的偏爱关系．由此，定义了群体多目标决策问题一类联合有效解的概念．同时，建立了这些联合有效解类要满足的Ｋｕｈｎ－Ｔｕｃｋｅｒ型最优性条件．

A Class of the Joint Efficient Solution and Its Optimality Conditions in Group Multiobjective Decision Making

Group multiobjective decision making is a new subject in group decision making. Without utility function, group preference relation on alternative set was constructed in this paper by means of efficient numbers of alternatives, which are described by Pareto efficient solutions of a group of multiobjective decision making problems respectively considered by decision makers. Further more, concepts of a class of joint efficient solutions were introduced for a group multiobjective decision making problem and successively Kuhn Tucker type optimality conditions were set up which are satisfied by the joint efficient solutions.