层次分析法权重向量的确定.xls

1、层次分析法：由判断矩阵确定权重向量计计算算公公式式：=(AW)=(AW)1 1/n*w/n*w1 1+(AW)+(AW)2 2/n*w/n*w2 2+(AW)+(AW)n n/n*w/n*wn n计计算算公公式式：C.I=(-n)/(n-1)C.I=(-n)/(n-1)C.R=C.I/R.IC.R=C.I/R.I R.IR.I查查表表取取得得填填a aijij用用F=1/2F=1/2F=1/3F=1/3F=1/4F=1/4F=1/5F=1/5F=1/6F=1/6F=1/7F=1/73*33*3矩矩阵阵分分数数值值0.50.50.3333330.3333330.250.250.20.20.166

2、6670.166667 0.1428570.142857步步骤骤(一一）判判断断矩矩阵阵3 3阶阶 判判断断矩矩阵阵各各列列单单位位化化A A自自建建立立A A各各列列和和5.51.3751110.2520.181818 0.181818 0.1818184180.727273 0.727273 0.7272730.50.12510.090909 0.090909 0.090909B B橘橘黄黄列列和和 *W=(*W=(0.1818180.181818 0.7272730.727273(二二)计计算算得得max()max()(AW)(AW)1 1(AW)(AW)2 2(AW)(AW)3 30.

3、5454550.545455 2.1818182.181818 0.2727270.272727(三三)一一致致性性检检验验准准则则计计算算得得查查表表得得C.RC.R0.10.1通通过过C.IC.I0 0R.IR.I0.580.58注注：n=3,R.I=0.58n=3,R.I=0.58C.I=(-n)/(n-1)C.I=(-n)/(n-1)填填a aijij用用F=1/2F=1/2F=1/3F=1/3F=1/4F=1/4F=1/5F=1/5F=1/6F=1/6F=1/7F=1/74*44*4矩矩阵阵分分数数值值0.50.50.3333330.3333330.250.250.20.20.166

4、6670.166667 0.1428570.142857步步骤骤(一一）判判断断矩矩阵阵4 4阶阶 判判断断矩矩阵阵各各列列单单位位化化A A自自建建立立A A各各列列和和 2.533333 2.66666711530.3947370.37511330.3947370.3750.20.333333110.0789470.1250.333333 0.333333110.1315790.125B B *W=(*W=(0.4111840.411184(二二)计计算算得得max()max()(AW)(AW)1 1(AW)(AW)2 2(AW)(AW)3 3(AW)(AW)4 41.6697371.66

5、9737 1.4552631.455263 0.4302630.430263 0.4850880.485088(三三)一一致致性性检检验验准准则则计计算算得得查查表表得得C.RC.R0.10.1通通过过C.IC.I0.0109460.010946R.IR.I0.90.9注注：n=4,R.I=0.90n=4,R.I=0.90C.I=(-n)/(n-1)C.I=(-n)/(n-1)填填a aijij用用F=1/2F=1/2F=1/3F=1/3F=1/4F=1/4F=1/5F=1/5F=1/6F=1/6F=1/7F=1/75*55*5矩矩阵阵分分数数值值0.50.50.3333330.3333330

6、.250.250.20.20.1666670.166667 0.1428570.142857步步骤骤(一一）判判断断矩矩阵阵5 5阶阶 判判断断矩矩阵阵各各列列单单位位化化A A自自建建立立A A各各列列和和2.22619123470.4491980.513250.2245990.333333 0.33333310.520.1497330.250.52130.1122990.1428570.20.50.33333310.064171B B *W=(*W=(0.4320760.432076(二二)计计算算得得max()max()(AW)(AW)1 1(AW)(AW)2 2(AW)(AW)3 3(

7、AW)(AW)4 4(AW)(AW)5 52.2313862.231386 1.3488171.348817 0.5145480.514548 0.7521160.752116 0.2681480.268148(三三)一一致致性性检检验验准准则则计计算算得得查查表表得得C.RC.R0.10.1通通过过C.IC.I0.0215180.021518R.IR.I1.121.12注注：n=5,R.I=1.12n=5,R.I=1.12C.I=(-n)/(n-1)C.I=(-n)/(n-1)确定总排序向量W(总)（二二级级）资料由上面计算结果一一复制下来1 12 23 34 45 5第一层对目标层排序向量

8、 W=(W=(0.63330.63330.10610.10610.26040.2604第二层对第一层各要素排序向量 W W(1)(1)=(=(0.18180.18180.72720.72720.0910.091 W W(2)(2)=(=(0.25720.25720.07380.07380.6990.699 W W(3)(3)=(=(0.18670.18670.15770.15770.65550.6555 W W(4)(4)=(=(W W(5)(5)=(=(W W(6)(6)=(=(W W(7)(7)=(=(W W(8)(8)=(=(总排序计算表(vj)(ui)v vj j中中间间级级v v1

9、1v v2 2v v3 3v v4 4v v5 5W WT T0.63330.63330.10610.10610.26040.26040 00 0u ui i最最末末级级W W(1)(1)W W(2)(2)W W(3)(3)W W(4)(4)W W(5)(5)u u1 10.18180.18180.25720.25720.18670.1867u u2 20.72720.72720.07380.07380.15770.1577u u3 30.0910.0910.6990.6990.65550.6555u u4 4u u5 5u u6 6u u7 7u u8 8u u9 9u u1010u u11

10、11u u1212u u1313u u1414表表格格底底部部格格F=1/8F=1/8F=1/9F=1/90.1250.1250.1111110.111111B B各各行行和和单单位位化化0.545455 0.1818182.181818 0.7272730.272727 0.090909310.0909090.090909)T T*的的值值3 3计计算算得得*C.R*C.R0 0C.R=C.I/R.IC.R=C.I/R.IF=1/8F=1/8F=1/9F=1/9层次分析法：由判断矩阵确定权重向量计计算算公公式式：C.I=(-n)/(n-1)C.I=(-n)/(n-1)C.R=C.I/R.IC

11、.R=C.I/R.I R.IR.I查查表表取取得得0.1250.1250.1111110.111111108 B B各各行行和和单单位位化化0.50.375 1.644737 0.4111840.30.375 1.444737 0.3611840.10.125 0.428947 0.1072370.10.125 0.481579 0.120395橘橘黄黄列列和和41 10.3611840.361184 0.1072370.107237 0.1203950.120395)T T*的的值值4.0328394.032839计计算算得得*C.R*C.R0.0121630.012163C.R=C.I/R

12、.IC.R=C.I/R.IF=1/8F=1/8F=1/9F=1/90.1250.1250.1111110.111111 判判断断矩矩阵阵各各列列单单位位化化 判判断断矩矩阵阵各各列列单单位位化化4.0333339.57.83333318B B各各行行和和单单位位化化0.495868 0.315789 0.510638 0.388889 2.160382 0.4320760.247934 0.315789 0.255319 0.277778 1.321419 0.2642840.082645 0.105263 0.06383 0.111111 0.512581 0.1025160.123967

13、0.210526 0.12766 0.166667 0.741119 0.1482240.049587 0.052632 0.042553 0.055556 0.2644980.0529橘橘黄黄列列和和51 10.2642840.264284 0.1025160.102516 0.1482240.1482240.05290.0529)T T1*的的值值5.0860725.086072计计算算得得*C.R*C.R0.0192120.019212C.R=C.I/R.IC.R=C.I/R.I)T TC.R=0.03)T TC.R=0)T TC.R=0.015)T TC.R=0.02)T T)T T)T T)T T0.19104)T T0.509431j j个个元元素素0.302486W W(总总）i i个个元元素素w w(总总)分分量量和和0.191040.191041.0029571.0029570.5094310.5094310.3024860.3024860 00 00 00 00 00 00 00 00 00 00 0