交互式多目标决策新方法在水利工程规划中的应用

Application of Interactive Multi-objective Decision-making Method to Hydraulic Project Planning

针对实际多目标决策问题中目标函数与约束条件具有非线性的特点,基于逐步法构建了一种新的交互式多目标决策方法,应用契比雪夫距离表示实际目标函数与理想点距离,并采用极小化极大决策规则与多智能体遗传算法求解,提供了决策者可逐步宣布期望目标函数值和权重等偏好信息。实例结果表明,该方法原理简单、便于应用、有效、可行。

The objective functions and constraint conditions in an actual multi-objective decision-making problem have nonlinear feature.Based on the step method,a new interactive multi-objective decision-making method is proposed in this paper.In the method,the distance between objective function and ideal solution is denoted by Tchebycheff distance.In the mean time,the mini-max decision rule and multi-agent genetic algorithm are applied to find the set of preferred solutions.The preference of decision-maker such as expected objective function and weight can be gradually included to narrow down the final solution.The instance results show that the proposed method is effective and feasible with simple principle when applied to hydraulic project planning.