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前景理论可以有效解决多准则决策中实际行为与期望效用之间的差异。针对多准则群体决策问题,提出一种基于前景理论的两阶段信息集结方法。第一阶段,运用中位数法设定参考点,界定决策者权重区间,以单准则下方案综合前景值最大建立非线性规划模型;第二阶段,以所有方案综合前景值最大为目标,构建多准则决策优化模型,并进行方案排序。最后运用案例说明了方法的可行性。
Prospect theory can effectively solve the difference between actual behavior and expected utility in multi-criteria decision-making. In order to solve the problem of multi-criteria group decision-making, a two-stage information aggregation method based on foreground theory is proposed. In the first stage, using the median method to set the reference point and define the decision maker’s weight interval, the nonlinear programming model is established based on the single foresaid composite foreground value. In the second stage, with the maximum total foreground of all programs as the goal, Multi-criteria decision-making optimization model, and the program sort. The final application illustrates the feasibility of the method.