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(目标管理)多目标决策模型层次分析法(H)代数模型离散模型

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B)?(max1??0.595??0.595??0.595????????????????1 2 50.2770.5 1 20.2770.2 0.5 10.277?????????0.129??0.129??0.129??1????????????3?0.5950.2770.129????????? 1??0.595?0.554?0.645??0.298?0.277?0.258??0.119?0.139?0.129???3??0.595?0.277??1?1.7940.8330.387?3??0.595?0.277?0.129???13?3.015?3.007?3??13?9.022?3.007一致性检验:

CI??max?mn?1?3.007?33?1?0.0072?0.0035?0.1RI?0.58

CR?CIRI?0.00350.58?0.006?0.1故通过检验,既成对矩阵B1可以接受。

同样步骤对 B2, B3, B4, B5,对P1, P2, P3, P4, P5 的影响 用特征向量W?B2?, W?B3?, W?B4?, W?B5?表示

最大特征根用:??B2?, ??B3??B4??B5?maxmax, ?max, ?max表示

并分别计算一致性检验指标:CI?B2? CI?B3? CI?B4? CI?B5?

RI?3??0.58 0.58 0.58

CR(B2)?CI CR(B3) CR(B4) CR(B5)RI

0.129??21

列表如下: 权 准则层 值 决策层 B1 B2 B3 B4 B5 0.262 0.474 0.055 0.099 0.102 组合权向量 nWi??ajbij j?1nP1 0.595 0.082 0.429 0.633 0.166 W1??ajb1j?0.299 j?15P2 0.277 0.236 0.429 0.193 0.166 W2??ajb2j?0.246 j?15P3 0.129 0.682 0.142 0.175 0.668 W3??ajb3j?0.456 j?1?max CI RI CR 3.007 3.002 3 3.009 3 0.0035 0.001 0 0.005 0 0.58 0.58 0.58 0.58 0.58 0.006 n 其中W1, W2, W3的计算公式为:Wi?

?ab (i?1,?,n)

j?1jij?0.595???0.082??5W1??ajb1j??0.262, 0.474, 0.055, 0.099, 0.102??0.429???j?1?0.633??0.166????0.262?0.595?0.474?0.082. 0.055?0.429?0.099?0.633?0.102?0.166?0.156?0.039?0.024?0.063?0.017?0.299

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??0.595?5?0.082??W2??ajb2j??0.277 0.236 0.429 0.193 0.166???0.429?j?1??0.633???0.166???0.246??0.595?

?5?0.082??W3?ajb3j??0.129 0.682 0.142 0.175 0.668??0.j?1?429????0.633??0.166???0.456?WP1??0.299?因此层次总排序:组合权向量为:W????WP???0.246?2???

?WP3????0.456??故最终决策为P3首选,P1次之,P2最后。 组合一致性检验:

?majCIj由CR?j?1m 可知:组合一致性检验结果为——层次总排序的一致性检验:?ajRIjj?1?5ajCI3CR?j?1?5ajRIjj?1?0.262?0.0035?0.474?0.001?0.055?0?0.099?0.005?0.102?00.262?0.58?0.474?0.58?0.055?0.58?0.099?0.58?0.102?0.58??0.0009?0.0005?0?0.0005?00.262?0.474?0.055?0.099?0.102??0.58 ?0.00190.00190.992?0.58?0.575?0.0033?0.1故 一致性检验通过。 最层次总排序为

最决策为:P3首选,P1次之,P3最后。

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(目标管理)多目标决策模型层次分析法(H)代数模型离散模型

B)?(max1??0.595??0.595??0.595????????????????1250.2770.5120.2770.20.510.277?????????0.129??0.129??0.129??1????????????3?0.5950.2770.129?????????1??0.595?0.554?0.645??0.298?0.277?0.258?
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