【摘要】 针对权重未知的多指标决策问题,利用物元矩阵和理想点法进行了研究.在自定义方案指标矩阵、方案标准指标矩阵、正理想方案指标矩阵和负理想方案指标矩阵等的基础上,依据决策方案到正负理想方案指标矩阵距离大小,建立了决策模型,并给出了模型的求解过程.依据极值原理,利用拉格朗日函数得到各个指标的权重值.实例应用表明,基于物元矩阵的理想决策模型,计算过程简单、实用性强、具有广泛推广价值.更多还原

【Abstract】 In order to determine the weights of the indexes in multiple indexes decision,an ideal point method based on matter-element matrix for multiple index decision is presented in this paper.Based on the definitions of positive ideal schemes and negative ideal schemes,a decision-making model is established,which arranges the schemes in simple order according to the application degree.The solving procedure of the model is also offered.Based on maximum principles,Lagrangian function is adopted to obtain the weights of the indexes.This model is proved through a real example to be simple,feasible and practical.更多还原