解释结构模型快速排序层级分析
此处输入要素的个数:
返回首页
你没有输入参数,本处随机给出一个
| |
a | b | c | d | e | f | g | h | i | j | k | l | m | n | o | p | q | r | s | t |
| a |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| b |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
| c |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| d |
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
| e |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| f |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
1 |
|
1 |
1 |
|
| g |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
| h |
|
|
|
|
|
|
|
|
|
|
1 |
|
|
1 |
|
|
1 |
|
|
|
| i |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
| j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| k |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| l |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
1 |
|
|
1 |
|
|
| m |
|
|
|
|
|
|
1 |
|
1 |
|
|
|
|
|
|
|
1 |
|
|
|
| n |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| o |
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| p |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
1 |
|
| q |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
| r |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| s |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| t |
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
第一步:生成自乘矩阵
系统的邻接矩阵的表示
| |
a | b | c | d | e | f | g | h | i | j | k | l | m | n | o | p | q | r | s | t |
| a |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| b |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
| c |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| d |
|
|
|
1 |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
| e |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| f |
|
|
|
|
|
1 |
|
|
|
1 |
|
|
|
|
|
1 |
|
1 |
1 |
|
| g |
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
| h |
|
|
|
|
|
|
|
1 |
|
|
1 |
|
|
1 |
|
|
1 |
|
|
|
| i |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
1 |
|
|
|
|
|
|
| j |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
| k |
1 |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
| l |
|
|
|
|
|
|
|
|
1 |
|
|
1 |
|
|
1 |
|
|
1 |
|
|
| m |
|
|
|
|
|
|
1 |
|
1 |
|
|
|
1 |
|
|
|
1 |
|
|
|
| n |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
| o |
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
| p |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
|
| q |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
1 |
| r |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
| s |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
| t |
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
第二步:对系统进行环路分析,并获得一个获得一个新序
0=>a
1=>r
2=>b
3=>c
4=>n
5=>i
6=>j
7=>s
8=>f+p+q+t
9=>o
10=>l
11=>d
12=>e
13=>g
14=>k
15=>h
16=>m
第三步:根据环路与新序,进行矩阵缩减
分析的矩阵为:
| |
a | r | b | c | n | i | j | s | f+p+q+t | o | l | d | e | g | k | h | m |
| a |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| r |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| b |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| c |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| n |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| i |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
| j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| s |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| f+p+q+t |
|
1 |
|
|
|
|
1 |
1 |
1 |
|
|
|
|
|
|
|
|
| o |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
| l |
|
1 |
|
|
|
1 |
|
|
|
1 |
|
|
|
|
|
|
|
| d |
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
| e |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| g |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
| k |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| h |
|
|
|
|
1 |
|
|
|
1 |
|
|
|
|
|
1 |
|
|
| m |
|
|
|
|
|
1 |
|
|
1 |
|
|
|
|
1 |
|
|
|
| b |
r、 |
| i |
n、 |
| f+p+q+t |
r、j、s、f+p+q+t、 |
| o |
f+p+q+t、 |
| l |
r、i、o、 |
| d |
l、 |
| g |
f+p+q+t、 |
| k |
a、 |
| h |
n、f+p+q+t、k、 |
| m |
i、f+p+q+t、g、 |
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:
| |
a | r | b | c | n | i | j | s | f+p+q+t | o | l | d | e | g | k | h | m |
| a |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| r |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| b |
|
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| c |
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
| n |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
| i |
|
|
|
|
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
| j |
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
| s |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
| f+p+q+t |
|
1 |
|
|
|
|
1 |
1 |
1 |
|
|
|
|
|
|
|
|
| o |
|
1 |
|
|
|
|
1 |
1 |
1 |
1 |
|
|
|
|
|
|
|
| l |
|
1 |
|
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
|
|
|
|
|
| d |
|
1 |
|
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
|
|
|
|
| e |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
| g |
|
1 |
|
|
|
|
1 |
1 |
1 |
|
|
|
|
1 |
|
|
|
| k |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
| h |
1 |
1 |
|
|
1 |
|
1 |
1 |
1 |
|
|
|
|
|
1 |
1 |
|
| m |
|
1 |
|
|
1 |
1 |
1 |
1 |
1 |
|
|
|
|
1 |
|
|
1 |
骨架矩阵
| |
a | r | b | c | n | i | j | s | f+p+q+t | o | l | d | e | g | k | h | m |
| a |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| r |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| b |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| c |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| n |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| i |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
| j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| s |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
f p q t |
|
1 |
|
|
|
|
1 |
1 |
|
|
|
|
|
|
|
|
|
| o |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
| l |
|
|
|
|
|
1 |
|
|
|
1 |
|
|
|
|
|
|
|
| d |
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
| e |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| g |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
| k |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| h |
|
|
|
|
1 |
|
|
|
1 |
|
|
|
|
|
1 |
|
|
| m |
|
|
|
|
|
1 |
|
|
|
|
|
|
|
1 |
|
|
|
| b |
r、 |
| i |
n、 |
| f+p+q+t |
r、j、s、 |
| o |
f+p+q+t、 |
| l |
i、o、 |
| d |
l、 |
| g |
f+p+q+t、 |
| k |
a、 |
| h |
n、f+p+q+t、k、 |
| m |
i、g、 |
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 | r,j,s | a,r,c,n,j,s,e | r,j,s | a,c,n,e |
| 2 | n,f+p+q+t | b,i,f+p+q+t,k | f+p+q+t | n,b,i,k |
| 3 | a,i,o | o,g,h | o | a,i,g,h |
| 4 | l,g,k | l,m | l | g,k,m |
| 5 | b,c,d,e,h,m | d | d | b,c,e,h,m |
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 |
| 0 | a | a | 1 | 3 |
| 3 | c | c | 1 | 5 |
| 4 | n | n | 1 | 2 |
| 12 | e | e | 1 | 5 |
| 2 | b | b | 2 | 5 |
| 5 | i | i | 2 | 3 |
| 14 | k | k | 2 | 4 |
| 13 | g | g | 3 | 4 |
| 15 | h | h | 3 | 5 |
| 16 | m | m | 4 | 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!
化学加平台
解释结构模型
感谢化学加提供单独服务器服务器!请大家多支持化学加平台,可以多介绍人关注化学加!
对解释结构模型在线计算有什么意见与建议请发电子邮件到, hwstu #sohu.com 把#替换成 @