层次分析法在城市防震减灾能力评估中的应用

©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:2006-12-26;:2007-03-20:(1980-),,,.E2mail:[e-mail]:100424574(2008)02200482051,1,2(1.,150080;2.,150001):,,,,(AHP),AHPAHP,,,:;;;:O223;X43:AApplicationofanalyticalhierarchyprocessinevaluationofcitiesabilityforearthquakedisasterpreventionandreductionLIULi1,XIELili1,2(1.InstituteofEngineeringMechanics,ChinaEarthquakeAdministration,Harbin150080,China;2.SchoolofCivilEngineering,HarbinInstituteofTechnology,Harbin150001,China)Abstract:Citiesabilityreducingearthquakedisastersisacomplexsysteminvolvingnumerousfactors,moreovertheresearchonevaluatingcitiesabilityreducingearthquakedisastersrelatestomulti2subject,suchasearthquakescience,socialscience,economicalscienceandsoon.Inthispaper,thefragmentaryAHP(analyticalhierarchyprocess),andtheindeterminateAHPwasusedtoassessthecitiesabilityreducingearthquakedisasters.TheAHPeasilysolvestheproblembyreducingthecomplexobjecttoseveralparts.Itcanevaluatecitiesabilityreduc2ingearthquakedisastersabsolutelyandquantitativelyandconsequentlyinstructthedecision2makingonreducingcit2iesearthquakedisastersloss.Keywords:city;earthquakedisasterpreventionandreduction;analyticalhierarchyprocess;judgmentmatrix20,,1994,,,,,[2],,:,©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(analytichierarchyprocess,AHP)Saaty[1,4]2070,,,,,,,AHP1AHP,5[5-6]:(1),,,(2),,,,,(3)BknC1,C2,,Cn,C1,C2,,Cn,C,C=maxmax(4)AHP,IC=(max-n)/(n-1)(n),CR=IC/IR(IR),CR0.1,(5),,AHP,,(),,[5],:(1)AHP,,,,,,120131(2)AHP,,,,,,,125361231942:©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[7],[8]22.1,,,,,,,1[3]1Fig.1Hierarchialmodelforassessmentofcitysabilityinearthquakedisasterpreventionandreduction2.22.2.1,,,,,:,,,,(AHPAHP),,(AHPAHP),,AHP;,,AHPAHP2.2.2,[9],AHP,,,,0517©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=(aij)nn,A=(1,2,,n),j=1ni=1aij,j=1,2,,n2A=(Aij)nn,Aij=[aij,bij],mij=2nnk=1aikbikajkbjk,M=(mij)nn,W=(1,2,,n),,j=2nnk=1ajkbjkni=12nnk=1aikbik,j=1,2,,n3M1=mij-aijnn,M2=bij-mijnn,M1M2AM(kj)2=1ni=1mij4nj=12k(mij),k=1,2,1mij=(mij-aij),2mij=(bij-mij)(j-1j,j+2j),,2.2.3,,,AHP,,A=(1,1)(1.34,2.92)(1.54,3.54)(0.34,0.94)(1,1)(0.74,1.68)(0.37,0.66)(0.59,1.35)(1,1),M=11.942.190.5111.080.460.891w=(0.51,0.26,0.23),M1M=00.60.650.1700.340.090.30,2M=00.981.350.4300.60.20.4601=(0.0024,0.0021,0.0016),2=(0.0149,0.0054,0.0066)A1=[0.5076,0.5249],A2=[0.2579,0.2654],A3=[0.2284,0.2366],A=[0.51,0.26,0.23](AHPAHPAHP),1()()2.3,,,152:©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(AHP)AHPAHP(),,,,,:[1]SaatyTL.TheAnalyticHierarchyProcess[M].NewYork:McGraw2Hill,1980.[2].[D].:,2002.[3].[J].,2002,11(4):23-29.[4],.[M].:,1990.[5].[J].,1996,5(3):10-15.[6],,,.[J].(),2004,44(12):1634-1637.[7].[M].:,1988.[8].[D].:,2004.[9],.AHP[J].,1998,(2):19-22.2517