用层次分析法解决下面问题:你要购置一台个人电脑,考虑价格等的因素,如何作出决策。

要求:1、假设 2、建模 3、求解 4、讨论 拜托高手赐教啊
2025-01-01 23:36:13
推荐回答(1个)
回答1:

1、构建递阶层次结构;

2、构造判断矩阵;

3、一致性检验;

4、层次单排序;

5、层次综合排序;

6、总体一致性检验。

运用的方法是将与决策总是有关的元素分解成目标、准则、方案等层次,在此基础之上进行定性和定量分析的决策。

扩展资料:

层次分析法是指将一个复杂的多目标决策问题作为一个系统,将目标分解为多个目标或准则,进而分解为多指标(或准则、约束)的若干层次,通过定性指标模糊量化方法算出层次单排序(权数)和总排序,以作为目标(多指标)、多方案优化决策的系统方法。

层次分析法是将决策问题按总目标、各层子目标、评价准则直至具体的备投方案的顺序分解为不同的层次结构,然后用求解判断矩阵特征向量的办法,求得每一层次的各元素对上一层次某元素的优先权重,最后再加权和的方法递阶归并各备择方案对总目标的最终权重,此最终权重最大者即为最优方案。

层次分析法比较适合于具有分层交错评价指标的目标系统,而且目标值又难于定量描述的决策问题。

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