空調(diào)的選擇問題某顧客購買空調(diào)時(shí)，考慮的因素有價(jià)格、耗電量、售后服務(wù)、噪音和款式。經(jīng)過初步考查，他確定A、B、C三種空調(diào)為待選目標(biāo)。三種空調(diào)的各項(xiàng)指標(biāo)如下表。請(qǐng)你建立層次分析模型幫該顧客分析一下選擇哪一種空調(diào)最好。價(jià)格（元）耗電量售后服務(wù)噪音款式A50001200好大好B3500735較好中一般C40001000一般小較好一、建立層次結(jié)構(gòu)圖：買空調(diào)價(jià)格耗電量買空調(diào)價(jià)格耗電量售后服務(wù)噪音款式BAC二、構(gòu)造比較矩陣：1133311535A=1/31/51131/31/31131/31/51/31/31110/75/4A1=7/1017/84/58/71180/496/5A2=49/801147/2005/6200/1471135A3=1/3121/51/21135A4=1/3121/51/21143A5=1/4121/31/21三、求特征根，特征向量（歸一化）A:V=(0.59360.72880.22580.22580.12)D=5.1167CI=0.029175RI=1.12CR=CI/RI=0.026<0.1W(2)=(0.31440.38480.11920.11920.0634)TA1:V=(－0.6852－0.4796－0.5482)D=3CI=0RI=0.58CR=0<0.1W1(3)=(0.40.280.32)TA2:V=(0.69510.42580.5793)D=3CI=0RI=0.58CR=0<0.1W2(3)=(0.40880.25040.3407)TA3:V=(―0.9281―0.3288―0.1747)D=3.0037CI=0.00185RI=0.58CR=0.0032<0.1W3(3)=(0.64830.22970.1220)TA4:V=(―0.9281―0.3288―0.1747)D=3.0037CI=0.00185RI=0.58CR=0.0032<0.1W4(3)=(0.64830.22970.1220)TA5:V=(0.92140.31940.2215)D=3.1078CI=0.0539RI=0.58CR=0.0929<0.15W5(3)=(0.63010.21840.1515)T0.40.40880.64830.64830.6301W(3)=0.280.25040.22970.22970.21840.34070.12200.12200.1515w(2)=(0.31440.38480.11920.11920.0634)Tw(3)=W(3)*w(2)=(0.47760.25300.2704)T四、組合一致性檢驗(yàn)：CI(3)=(0,0,0.00185,0.00185,0.0539)*W(2)RI(3)=(0.58,0.58,0.58,0.58,0.58)*W(2)CR(3)=CR(2)+CI(3)/RI(3)=0.026+0.0038583/0.58=0.03265<0