解释结构模型快速排序层级分析
此处输入要素的个数：
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Ⅰ | Ⅱ | Ⅲ | Ⅳ | Ⅴ | Ⅵ | Ⅶ | Ⅷ | Ⅸ | Ⅹ | Ⅺ | Ⅻ | ⅩⅢ | Ⅹ | ⅩⅣ | ⅩⅤ | ⅩⅥ | ⅩⅦ | ⅩⅧ | ⅩⅨ |
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| ⅩⅨ |
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第一步：生成自乘矩阵
系统的邻接矩阵的表示
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Ⅰ | Ⅱ | Ⅲ | Ⅳ | Ⅴ | Ⅵ | Ⅶ | Ⅷ | Ⅸ | Ⅹ | Ⅺ | Ⅻ | ⅩⅢ | Ⅹ | ⅩⅣ | ⅩⅤ | ⅩⅥ | ⅩⅦ | ⅩⅧ | ⅩⅨ |
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第二步：对系统进行环路分析，并获得一个获得一个新序
0=>ⅩⅢ
1=>ⅩⅥ
2=>Ⅵ+Ⅷ+ⅩⅧ
3=>ⅩⅨ
4=>Ⅰ
5=>Ⅱ
6=>Ⅲ
7=>Ⅸ
8=>Ⅳ+Ⅴ
9=>Ⅶ
10=>Ⅺ
11=>Ⅻ
12=>Ⅹ
13=>Ⅹ
14=>ⅩⅣ
15=>ⅩⅤ
16=>ⅩⅦ
第三步：根据环路与新序，进行矩阵缩减
分析的矩阵为：
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ⅩⅢ | ⅩⅥ | Ⅵ＋Ⅷ＋ⅩⅧ | ⅩⅨ | Ⅰ | Ⅱ | Ⅲ | Ⅸ | Ⅳ＋Ⅴ | Ⅶ | Ⅺ | Ⅻ | Ⅹ | Ⅹ | ⅩⅣ | ⅩⅤ | ⅩⅦ |
| ⅩⅢ |
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| Ⅵ＋Ⅷ＋ⅩⅧ |
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| Ⅵ＋Ⅷ＋ⅩⅧ |
ⅩⅢ、ⅩⅥ、Ⅵ＋Ⅷ＋ⅩⅧ、 |
| ⅩⅨ |
Ⅵ＋Ⅷ＋ⅩⅧ、 |
| Ⅰ |
ⅩⅨ、 |
| Ⅳ＋Ⅴ |
ⅩⅢ、Ⅸ、Ⅳ＋Ⅴ、 |
| Ⅶ |
Ⅰ、Ⅲ、 |
| Ⅺ |
Ⅸ、 |
| Ⅻ |
Ⅲ、 |
| Ⅹ |
Ⅺ、Ⅻ、Ⅹ、 |
| ⅩⅤ |
Ⅵ＋Ⅷ＋ⅩⅧ、Ⅱ、 |
第四步：对无环矩阵进行缩边，也就是去掉所有的向前边！
可达矩阵：
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ⅩⅢ | ⅩⅥ | Ⅵ＋Ⅷ＋ⅩⅧ | ⅩⅨ | Ⅰ | Ⅱ | Ⅲ | Ⅸ | Ⅳ＋Ⅴ | Ⅶ | Ⅺ | Ⅻ | Ⅹ | Ⅹ | ⅩⅣ | ⅩⅤ | ⅩⅦ |
| ⅩⅢ |
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| ⅩⅥ |
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| Ⅵ＋Ⅷ＋ⅩⅧ |
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骨架矩阵
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ⅩⅢ | ⅩⅥ | Ⅵ＋Ⅷ＋ⅩⅧ | ⅩⅨ | Ⅰ | Ⅱ | Ⅲ | Ⅸ | Ⅳ＋Ⅴ | Ⅶ | Ⅺ | Ⅻ | Ⅹ | Ⅹ | ⅩⅣ | ⅩⅤ | ⅩⅦ |
| ⅩⅢ |
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Ⅵ
Ⅷ
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| Ⅵ＋Ⅷ＋ⅩⅧ |
ⅩⅢ、ⅩⅥ、 |
| ⅩⅨ |
Ⅵ＋Ⅷ＋ⅩⅧ、 |
| Ⅰ |
ⅩⅨ、 |
| Ⅳ＋Ⅴ |
ⅩⅢ、Ⅸ、 |
| Ⅶ |
Ⅰ、Ⅲ、 |
| Ⅺ |
Ⅸ、 |
| Ⅻ |
Ⅲ、 |
| Ⅹ |
Ⅺ、Ⅻ、Ⅹ、 |
| ⅩⅤ |
Ⅵ＋Ⅷ＋ⅩⅧ、Ⅱ、 |
第五步：对一般性骨架矩阵进行层级分解，可以是原因优先，可以是结果优先
原因优先层级划分最终图形
结果优先层级划分最终图形
弹性势能最大，两端发散的的层级结果
弹性势能最小，中间靠拢的结果
第六步：对一般性骨架矩阵的中的活动要素进行分析
| 层级的序号 | 原因优先的方法-得到的各层级的要素 | 结果优先的方法-得到的各层级要素 | 共同有的要素 | 活动的要素 |
| 1 | ⅩⅢ,ⅩⅥ | ⅩⅢ,ⅩⅥ,Ⅱ,Ⅲ,Ⅸ,Ⅹ,ⅩⅣ,ⅩⅦ | ⅩⅢ,ⅩⅥ | Ⅱ,Ⅲ,Ⅸ,Ⅹ,ⅩⅣ,ⅩⅦ |
| 2 | Ⅵ＋Ⅷ＋ⅩⅧ | Ⅵ＋Ⅷ＋ⅩⅧ,Ⅳ＋Ⅴ,Ⅺ,Ⅻ | Ⅵ＋Ⅷ＋ⅩⅧ | Ⅳ＋Ⅴ,Ⅺ,Ⅻ |
| 3 | ⅩⅨ,Ⅲ,Ⅸ | ⅩⅨ,Ⅹ,ⅩⅤ | ⅩⅨ | Ⅲ,Ⅸ,Ⅹ,ⅩⅤ |
| 4 | Ⅰ,Ⅱ,Ⅺ,Ⅻ,Ⅹ | Ⅰ | Ⅰ | Ⅱ,Ⅺ,Ⅻ,Ⅹ |
| 5 | Ⅳ＋Ⅴ,Ⅶ,Ⅹ,ⅩⅣ,ⅩⅤ,ⅩⅦ | Ⅶ | Ⅶ | Ⅳ＋Ⅴ,Ⅹ,ⅩⅣ,ⅩⅤ,ⅩⅦ |
由上表计算得出活动的要素以及它们活动的层级：
| 要素的序号 | 要素的名称 | 要素的标题 | 开始层级 | 终止层级 |
| 5 | Ⅱ | Ⅱ | 1 | 4 |
| 6 | Ⅲ | Ⅲ | 1 | 3 |
| 7 | Ⅸ | Ⅸ | 1 | 3 |
| 12 | Ⅹ | Ⅹ | 1 | 4 |
| 14 | ⅩⅣ | ⅩⅣ | 1 | 5 |
| 16 | ⅩⅦ | ⅩⅦ | 1 | 5 |
| 8 | Ⅳ＋Ⅴ | Ⅳ
Ⅴ | 2 | 5 |
| 10 | Ⅺ | Ⅺ | 2 | 4 |
| 11 | Ⅻ | Ⅻ | 2 | 4 |
| 13 | Ⅹ | Ⅹ | 3 | 5 |
| 15 | ⅩⅤ | ⅩⅤ | 3 | 5 |
找到活动要素，并在层级中移动这些活动要素找出最好的结果。活动的要素要注意本身有因果关系的
A、分层的结果一定要符合箭头一定向上
B、不能增加层级的数目
这个方法很土鳖的，赶紧输入原始矩阵，赶紧看，3秒钟后跳转到更好的方法的页面！
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解释结构模型
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