解释结构模型快速排序层级分析
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鼠 | 牛 | 虎 | 兔 | 龙 | 蛇 | 马 | 羊 | 猴 | 鸡 | 狗 | 猪 | 天 | 地 | 雷 | 风 | 水 | 火 | 山 | 泽 |
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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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鼠 | 牛 | 虎 | 兔 | 龙 | 蛇 | 马 | 羊 | 猴 | 鸡 | 狗 | 猪 | 天 | 地 | 雷 | 风 | 水 | 火 | 山 | 泽 |
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龙 |
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马 |
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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=>马
1=>猪
2=>天
3=>水
4=>鼠
5=>雷
6=>泽
7=>蛇
8=>火
9=>风
10=>山
11=>牛
12=>虎
13=>龙
14=>兔
15=>羊
16=>猴
17=>鸡
18=>狗
19=>地
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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马 | 猪 | 天 | 水 | 鼠 | 雷 | 泽 | 蛇 | 火 | 风 | 山 | 牛 | 虎 | 龙 | 兔 | 羊 | 猴 | 鸡 | 狗 | 地 |
马 |
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蛇 |
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龙 |
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羊 |
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猴 |
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鸡 |
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狗 |
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天 |
猪、 |
水 |
马、天、 |
鼠 |
水、 |
泽 |
雷、 |
蛇 |
雷、泽、 |
火 |
蛇、 |
风 |
雷、火、 |
山 |
雷、风、 |
牛 |
泽、山、 |
兔 |
泽、牛、龙、 |
羊 |
水、 |
猴 |
兔、 |
鸡 |
天、火、 |
狗 |
火、风、 |
地 |
虎、 |
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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马 | 猪 | 天 | 水 | 鼠 | 雷 | 泽 | 蛇 | 火 | 风 | 山 | 牛 | 虎 | 龙 | 兔 | 羊 | 猴 | 鸡 | 狗 | 地 |
马 |
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羊 |
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鸡 |
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骨架矩阵
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天 |
猪、 |
水 |
马、天、 |
鼠 |
水、 |
泽 |
雷、 |
蛇 |
泽、 |
火 |
蛇、 |
风 |
火、 |
山 |
风、 |
牛 |
山、 |
兔 |
牛、龙、 |
羊 |
水、 |
猴 |
兔、 |
鸡 |
天、火、 |
狗 |
风、 |
地 |
虎、 |
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 | 雷 | 马,猪,雷,虎,龙 | 雷 | 马,猪,虎,龙 |
2 | 泽 | 天,泽,地 | 泽 | 天,地 |
3 | 蛇 | 水,蛇 | 蛇 | 水 |
4 | 火 | 鼠,火,羊 | 火 | 鼠,羊 |
5 | 风 | 风,鸡 | 风 | 鸡 |
6 | 猪,山 | 山,狗 | 山 | 猪,狗 |
7 | 马,天,牛,龙 | 牛 | 牛 | 马,天,龙 |
8 | 水,虎,兔 | 兔 | 兔 | 水,虎 |
9 | 鼠,羊,猴,鸡,狗,地 | 猴 | 猴 | 鼠,羊,鸡,狗,地 |
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 | 马 | 马 | 1 | 7 |
1 | 猪 | 猪 | 1 | 6 |
12 | 虎 | 虎 | 1 | 8 |
13 | 龙 | 龙 | 1 | 7 |
2 | 天 | 天 | 2 | 7 |
19 | 地 | 地 | 2 | 9 |
3 | 水 | 水 | 3 | 8 |
4 | 鼠 | 鼠 | 4 | 9 |
15 | 羊 | 羊 | 4 | 9 |
17 | 鸡 | 鸡 | 5 | 9 |
18 | 狗 | 狗 | 6 | 9 |
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
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