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 |
|
|
|
1 |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
1 |
|
b |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
c |
|
|
|
1 |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
d |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
e |
|
|
|
1 |
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
f |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
g |
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
h |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
i |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
k |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
l |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
m |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
n |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
o |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
p |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
q |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
r |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
s |
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
t |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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 |
|
|
1 |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
1 |
|
b |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
c |
|
|
1 |
1 |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
d |
|
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
e |
|
|
|
1 |
1 |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
f |
1 |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
g |
|
1 |
|
|
|
|
1 |
|
|
|
1 |
|
|
|
|
|
|
|
|
|
h |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
i |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
1 |
|
|
|
j |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
|
k |
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
1 |
|
|
|
l |
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
1 |
m |
|
|
|
|
|
|
|
|
1 |
|
|
|
1 |
|
|
|
|
|
|
|
n |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
1 |
|
|
|
|
|
|
o |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
|
|
|
p |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
q |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
1 |
|
r |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
s |
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
1 |
|
t |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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=>t
1=>c+d+i+l+m+q+s
2=>n
3=>a
4=>b
5=>j
6=>e
7=>p
8=>o
9=>f
10=>k
11=>g
12=>h
13=>r
第三步:根据环路与新序,进行矩阵缩减
分析的矩阵为:
|
t | c+d+i+l+m+q+s | n | a | b | j | e | p | o | f | k | g | h | r |
t |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
c+d+i+l+m+q+s |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
n |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
a |
|
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
b |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
e |
|
1 |
|
|
|
1 |
|
|
|
|
|
|
|
|
p |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
o |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
f |
|
|
|
1 |
|
|
|
|
1 |
|
|
|
|
|
k |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
g |
|
|
|
|
1 |
|
|
|
|
|
1 |
|
|
|
h |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
r |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
c+d+i+l+m+q+s |
t、c+d+i+l+m+q+s、 |
n |
c+d+i+l+m+q+s、 |
a |
c+d+i+l+m+q+s、n、 |
b |
t、 |
e |
c+d+i+l+m+q+s、j、 |
o |
p、 |
f |
a、o、 |
k |
c+d+i+l+m+q+s、 |
g |
b、k、 |
r |
b、 |
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:
|
t | c+d+i+l+m+q+s | n | a | b | j | e | p | o | f | k | g | h | r |
t |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
c+d+i+l+m+q+s |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
n |
1 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
a |
1 |
1 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
b |
1 |
|
|
|
1 |
|
|
|
|
|
|
|
|
|
j |
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
e |
1 |
1 |
|
|
|
1 |
1 |
|
|
|
|
|
|
|
p |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
o |
|
|
|
|
|
|
|
1 |
1 |
|
|
|
|
|
f |
1 |
1 |
1 |
1 |
|
|
|
1 |
1 |
1 |
|
|
|
|
k |
1 |
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
g |
1 |
1 |
|
|
1 |
|
|
|
|
|
1 |
1 |
|
|
h |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
r |
1 |
|
|
|
1 |
|
|
|
|
|
|
|
|
1 |
骨架矩阵
|
t | c+d+i+l+m+q+s | n | a | b | j | e | p | o | f | k | g | h | r |
t |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
c d i l m q s |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
n |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
a |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
b |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
e |
|
1 |
|
|
|
1 |
|
|
|
|
|
|
|
|
p |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
o |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
f |
|
|
|
1 |
|
|
|
|
1 |
|
|
|
|
|
k |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
g |
|
|
|
|
1 |
|
|
|
|
|
1 |
|
|
|
h |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
r |
|
|
|
|
1 |
|
|
|
|
|
|
|
|
|
c+d+i+l+m+q+s |
t、 |
n |
c+d+i+l+m+q+s、 |
a |
n、 |
b |
t、 |
e |
c+d+i+l+m+q+s、j、 |
o |
p、 |
f |
a、o、 |
k |
c+d+i+l+m+q+s、 |
g |
b、k、 |
r |
b、 |
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 | t | t,j,p,h | t | j,p,h |
2 | c+d+i+l+m+q+s | c+d+i+l+m+q+s,b,o | c+d+i+l+m+q+s | b,o |
3 | n,p | n,e,k,r | n | p,e,k,r |
4 | a,b,j,o,k | a,g | a | b,j,o,k,g |
5 | e,f,g,h,r | f | f | e,g,h,r |
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 | j | j | 1 | 4 |
7 | p | p | 1 | 3 |
12 | h | h | 1 | 5 |
4 | b | b | 2 | 4 |
8 | o | o | 2 | 4 |
6 | e | e | 3 | 5 |
10 | k | k | 3 | 4 |
13 | r | r | 3 | 5 |
11 | g | g | 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 @