非线性多目标群体决策的递缩约束集法

Reductive Constrained Set Method for Solving Nonlinear Multiobjective Group Decision-making Problems

对于一个非线性的多目标群体决策问题，不同的决策者可用权衡比作出各自不同的抉择．本文根据各决策者对各人提供的权衡比进行相互评价，获得群体权衡比，从而构造出迭代过程中的递缩约束集序列．由此，建立了一个求解非线性多目标群体决策问题的收敛的交互规划算法．

With respect to a nonlinear multiobjective group decision making problem, different decision makers may make decisions with different tradeoff rates. As these rates are subject to a joint assessment by these decision makers, a group tradeoff rate may be obtained, whereby a sequence of reductive constrained sets in an iterative process can be constructed. On this basis, a convergent interactive programming algorithm is developed in this paper for solving these nonlinear multiobjective group decision making problems.