一种基于指标值和指标值增量的动态综合评价方法

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22120043()J.ofXuzhouNormalUniv.(NaturalScienceEdition)Vol.22,No.1Mar.,2004:20031112:(1965-),,,,,.陈彬(,221009):,,,.:;;;:N945;O223:A:10076573(2004)01003403,,[1,2].,.,...1n()Si(i=1,2,!,n),pxj(j=1,2,!,p),aij(tk)tk(k=1,2,!,N)ij.tkA(tk)=x1x2!xpS1S2Sna11(tk)a12(tk)!a1p(tk)a21(tk)a22(tk)!a2p(tk)an1(tk)an2(tk)!anp(tk)=(aij(tk))n∀p,k=1,2,!,N.,xj(j=1,2,!,p).,,;,,;;.,X={x1,x2,!,xp}:X=#4i=1Vi,Vi∃Vj=,i%j,i,j=1,2,3,4.Vi(i=1,2,3,4).A(tk)=(aij(tk))n∀p,k=1,2,!,N,nSi(i=1,2,!,n),.2A(tk),B(tk)=A(tk)-A(tk-1)=(bij(tk))n∀p,k=2,3,!,N(1),bij(tk)=aij(tk)-aij(tk-1).,A(tk)B(tk)(k=2,3,!,N)[3],C(tk)=(cij(tk))n∀pD(tk)=(dij(tk))n∀p,C(tk),D(tk)[4],tkj(tk),j(tk)(j=1,2,!,p,k=2,3,!,N).fi(tk)=&pj=1j(tk)cij(tk),gi(tk)=&pj=1j(tk)dij(tk),i=1,2,!,n,k=2,3,!,N,(2)Si{fi(tk)}{gi(tk)}.hi(tk)=!fi(tk)+∀gi(tk),i=1,2,!,n,k=2,3,!,N,(3)!+∀=1;!,∀∋0,{hi(tk)}Si.!=1,∀=0,;!=0,∀=1,;.{hi(tk)},h+(tk)=max1(i(n{hi(tk)},h-(tk)=min1(i(n{hi(tk)},k=2,3,!,N,(4)S+={h+(t2),h+(t3),!,h+(tN)}S-={h-(t2),h-(t3),!,h-(tN)}.,d+i=d(Si,S+)=&Nk=2#k(hi(tk)-h+i(tk))212,d-i=d(Si,S-)=&Nk=2#k(hi(tk)-h-i(tk))212,i=1,2,!,n,(5)#=(#2,#3,!,#N),&Nk=2#k=1,#k∋0.,#k=1N-1.ri=d-id+i+d-i,i=1,2,!,n,(6),0(ri(1,SiS+S-,ri,Si,ri.3[3],.,6:(%),(%),(%),(%),(%),(),(/),198819891990,3A(t1)=23.6024.6526.1722.5795.632402232.7129.2323.4733.49102.392003528.9019.9017.7529.22101.121974417.8519.8422.4017.3697.281743123.5719.3318.1023.5799.9918079,A(t2)=14.8718.5320.1119.4590.752920222.5124.4720.2332.2596.542346118.7819.2617.3029.98101.322129511.9613.6215.8813.5186.912041720.9918.5217.2823.5391.1820464,351:A(t3)=11.9113.1514.3515.2188.383033215.6613.4111.7721.9990.972475315.1213.1312.0938.3491.14230086.426.257.7418.4888.842068414.0512.2211.4616.0893.3910100.(1)A(tk),B(tk),,(t2)=(0.137,0.110,0.066,0.269,0.315,0.103),(t3)=(0.146,0.143,0.153,0.268,0.136,0.154),(t2)=(0.360,0.112,0.160,0.066,0.272,0.030),(t3)=(0.092,0.147,0.211,0.236,0.173,0.141).(2)~(6),#2=#3=12,!,∀,1.1Tab.1Theresultsofcalculation!,∀5!=1∀=0r1=0.439r2=0.780r3=1r4=0r5=0.388S3S2S1S5S4!=0.7∀=0.3r1=0.403r2=0.615r3=1r4=0.048r5=0.479S3S5S2S1S4!=0.5∀=0.5r1=0.373r2=0.470r3=1r4=0.146r5=0.539S3S5S2S1S4!=0.3∀=0.7r1=0.428r2=0.290r3=0.951r4=0.344r5=0.591S3S5S1S4S2!=0∀=1r1=0.455r2=0r3=0.746r4=0.496r5=0.682S3S5S4S1S24,,.,,,!,∀,.:[1].[M].:,2002.84-114.[2].[J].,1999,21(7):27.[3],.[J].,1995,13(1):23.[4],.[M].:,2000.42-44.AMethodoftheDynamicComprehensiveEvaluationBasedonIndexValueandIndexIncrementCHENBin(EditorialDepartmentofJournal,XuzhouNormalUniversity,Xuzhou,Jiangsu,221009,China)Abstract:Thepurposeofthispaperistostudydynamicmultipleattributedecisionmaking.Amethodofthedynamiccomprehensiveevaluationbasedontheindexvalueandindexincrementisproposed,andanexampleisgiven.Keywords:dynamiccomprehensiveevaluation;multipleattributedecisionmaking;timeseries;ranking36()22

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