求群体多目标决策问题的一种可行方向交互算法

摘要

For a multiobjective group decision-making problem,decsison-makers may make decisions with respective preferences by trade-off ratios amongst objectives. As these ratios are subject to a joint assessment by these deciston-makers,a group trade-off ratio may be obtained. Successfully, an interactive algorithm is developed for solving multiobjective nonlinear programming pro blems with a grou pof decisionmakers in this paper. The feasible direction in iteration step of algorithm is constructed on the basis of Topkis-Veinott method for solving nonlinear programming problems. Under certain conditions,the alhorithm converges to a group satisfactory solution of discusse dproblem.%对于群体多目标决策问题,决策者可以各自的关于目标之间的权衡比表达其偏爱信息并进行决策.当个体权衡比具有加性性质时可得群体权衡比.本文以此构造一种求解群体非线性规划问题的交互算法.迭代中基于求解决非线性规划的Topkis-Veinott方法构造可行方向.在一定的条件下,算法收敛于所讨论问题的群体满意解.