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Vol.24No.042012、、、、。、、、、。[][]。。[1]。。[2-6]。[2]UEWAAULA[3]ULWMULHA[4]、[5]、112（1.，250014；2.，250014），TOPSIS。，；，，TOPSIS；。；；；；2010-03-07（10YJA630073）；（ZR2011FM036）；（09BSHJ03）；（2009RKA376）。，，，；，，，，；，，。168DOI:10.14120/j.cnki.cn11-5057/f.2012.04.008MANAGEMENTREVIEWVol.24No.042012[6]、ULHGAULHGA。[2-6]。[1]、[7]、[8]、、[9]、、TOPSIS[10]TOPSIS[11][12][13][14][15][16]C-OWA[17]。[6-13][14-17]。。。、。1、1[15]n[LiUi]i=12…n0≤Li≤Ui≤1i=12…nΩnn-PRIL=L1L2…LnTU=U1U2…UnTn-PRIn-PRILU。2[15]n-PRILUp1p2…pnni=1Σpi=1Li≤pi≤Uii=12…nn-PRILUn-PRILU。1[18]n-PRILUni=1ΣLi≤1≤ni=1ΣUi。[18]n-PRILU[LiUi]i=12…n[L軈iU軍i]i=12…nL軈i=maxLi1-nj=1ΣUjj≠i≠≠Ui=minUi1-nj=1ΣLjj≠i≠≠12、。S={sα|α=01…L-1}sαL。S[19-21]169Vol.24No.04201211ijsisjsisj2negsi=sL-1-i3si≥sjsisjmaxsisj=si4si≤sjsisjminsisj=si。L3579。S=s0s1s2=。S=s0s1s2s3s4=。S=s0s1s2s3s4s5s6=。S=s0s1s2s3s4s5s6s7s8=。,S=s0s1…sL-1S軈={sα|α∈[0q]}q。sα∈Ssαsα。[20]。1[21]s軇=[sasb]sasb∈S軈a≤bsasbs軇s軇。S軌s軇1=[sa1sb1]s軇2=[sa2sb2][2021]1s軇1茌s軇2=[sa1sb1]茌[sa2sb2]=[sa1+a2sb1+b2]22λs軇1=λ[sa1sb1]=[sλ*a1sλ*b1]λ≥033s軇1茌s軇2=s軇2茌s軇144λs軇1茌s軇2=λs軇1茌λs軇2λ≥055λ1+λ2s軇1=λ1s軇1茌λ2s軇1λ1λ2≥062[22]s軇1=[sa1sb1]s軇2=[sa2sb2]s軇1s軇2ds軇1s軇2=a2-a12+b2-b122姨71、mA=a1a2…amnC=c1c2…cncjwj0≤wj≤1nj=1Σwj=1W=w1w2…wn。cjljΘj=θ1θ2…θljcjθt[pLtjpUtj]0≤pLtj≤pUtj≤1ljt=1ΣpLtj≤1ljt=1ΣpUtj≥1。aicjθt[xLtijxUtij]xLtijxUtijS。。1。c1…cnθ1θ2…θl1…θ1θ2…θln[pL11pU11][pL21pU21]…[pLl11pUl11]…[pL1npU1n][pL2npU2n]…[pLl1npUl1n]a1[xL111xU111][xL211xU211]…[xLl111xUl111]…[xL11nxU11n][xL21nxU21n]…[xLl11nxUl11n]a2[xL121xU121][xL221xU221]…[xLl121xUl121]…[xL12nxU12n][xL22nxU22n]…[xLl12nxUl12n]…………………………am[xL1m1xU1m1][xL2m1xU2m1]…[xLl1m1xUl1m1]…[xL1mnxU1mn][xL2mnxU2mn]…[xLl1mnxUl1mn]170MANAGEMENTREVIEWVol.24No.0420122、1A．1[p軈L1jp軈U1j][p軈L2jp軈U2j]…[p軈Lljjp軈Uljj]j=12…nB．3[23]ρ[01]→[01]1ρ0=02ρ1=13xyρxρy。ρbasicunit-intervalmonotonicfunctionBUM。4[23][ab]fρ[ab]=10乙dρydyb-yb-ady8fOWAC-OWA。ρy=yδδ≥0fρ[ab]=b+δaδ+1。[p軈L1jp軈U1j][p軈L2jp軈U2j]…[p軈Lljjp軈Uljj]j=12…np軈1jp軈2j…p軈ljjj=12n。C-OWAρy=yδδ≥0p軈kj=fρ[p軈Lkjp軈Ukj]=p軈Ukj+δp軈Lkjδ+19ljk=1Σp軈kj=1δ=ljk=1Σp軈Ukj-11-ljk=1Σp軈Lkj10109p軈kj=ljk=1Σp軈Ukj-1ljk=1Σp軈Ukj-ljk=1Σp軈Lkj×p軈Lkj+1-ljk=1Σp軈Lkjljk=1Σp軈Ukj-ljk=1Σp軈Lkj×p軈Ukj112Z2-61Z。……………Z=[zij]m×n=a1a2…am[zL11zU11][zL12zU12]…[zL1nzU1n][zL21zU21][zL22zU22]…[zL2nzU2n]…………[zLm1zUm1][zLm2zUm2]…[zLmnzUmn]ΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣ……………c1c2…cn。zLij=ljt=1Σp軈tjxLtijzUij=ljt=1Σp軈tjxUtij123PISPositiveIdealSolutionNISNegativeIdealSolution。171Vol.24No.042012Z+=z+1z+2…z+n=[zL+1zU+1][zL+2zU+2]…[zL+nzU+n]Z-=z-1z-2…z-n=[zL-1zU-1][zL-2zU-2]…[zL-nzU-n]zL+j=maxizLijzU+j=maxizUijzL-j=minizLijzU-j=minizUij134aiZ+Z-D+iaiZ+=nj=1Σ[wjdz+jzij]214D-iaiZ-=nj=1Σ[wjdz-jzij]215dz+jzijz+jzijdz-jzijz-jzij。aiZ+aiZ-。aiminD+iaiZ+=nj=1Σ[w+jdz+jzij]2s.tnj=1Σw+j=1w+j≥≥≥≥≥≥≥≥≥≥≥≥016maxD-iaiZ-=nj=1Σ[w-jdz-jzij]2s.tnj=1Σw-j=1w-j≥≥≥≥≥≥≥≥≥≥≥≥01716minQw=mi=1ΣD+iaiZ+=mi=1Σnj=1Σ[w+jdz+jzij]2s.tnj=1Σw+j=1w+j≥≥≥≥≥≥≥≥≥≥≥≥018w+j=nj=1Σmi=1Σd2z+jzij-1≥≥-1×mi=1Σd2z+jzij≥≥-119W+=w+1w+2…w+n。17maxQw=mi=1ΣD-iaiZ-=mi=1Σnj=1Σ[w-jdz-jzij]2s.tnj=1Σw-j=1w-j≥≥≥≥≥≥≥≥≥≥≥≥020172MANAGEMENTREVIEWVol.24No.042012w-j=nj=1Σmi=1Σd2z-jzij-1ΣΣ-1×mi=1Σd2z-jzijΣΣ-121W-=w-1w-2…w-n。W=[wL1wU1][wL2wU2]…[wLnwUn]=[minw-1w+1maxw-1w+1][minw-2w+2maxw-2w+2]…[minw-nw+nmaxw-nw+n]22W=w1w2…wn。wj=nj=1ΣwUj-1nj=1ΣwUj-nj=1ΣwLj×wLj1-nj=1ΣwLjnj=1ΣwUj-nj=1ΣwLj×wUj235TOPSISTOPSISTechniqueforOrderPerformancebySimilaritytoIdealSolutionHwangYoon[24]。TOPSIS。A．V=[vij]m×n=[vL11vU11][vL12vU12]…[vL1nvU1n][vL21vU21][vL22vU22]…[vL2nvU2n]…………[vLm1vUm1][vLm2vUm2]…[vLmnvUmn]ΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣ。vLij=wjzLijvUij=wjzUij24B．V+=v+1v+2…v+n=[vL+1vU+1][vL+2vU+2]…[vL+nvU+n]V-=v-1v-2…v-n=[vL-1vU-1][vL-2vU-2]…[vL-nvU-n]vL+j=maxivLijvU+j=maxivUijvL-j=minivLijvU-j=minivUij25C．D+=d+1d+2…d+mD-=d-1d-2…d-m。d+i=nj=1Σdvijv+j2ΣΣ1/2d-i=nj=1Σdvijv-j2ΣΣ1/ΣΣΣΣΣΣΣΣΣΣΣΣΣΣΣ226dvijv+jvijv+jdvijv-jvijv-j。D．C=c1c2…cmci=d-id+i+d-ii=12…m27E．。。3a1a2a34c1173Vol.24No.0420122c2c3c4。c1c2θ1、θ2、θ3θ44c3c4θ1、θ2θ33S=s0s1s2s3s4s5s6=。2。c1c2c3c4θ1θ2θ3θ4θ1θ2θ3θ4θ1θ2θ3θ1θ2θ3[0.10.2][0.20.7][0.30.4][0.10.5][0.00.2][0.20.6][0.30.6][0.20.4][0.20.5][0.30.4][0.30.5][0.30.5][0.20.4][0.40.6]a1[s4s5][s4s4][s2s4][s5s5][s2s3][s4s4][s3s5][s5s6][s5s5][s5s6][s1s2][s4s4][s2s3][s3s4]a2[s5s5][s3s4][s5s5][s4s4][s5s6][s3s4][s4s4][s3s5][s6s6][s2s3][s1s2][s2s3][s5s6][s2s3]a3[s4s4][s5s6][s2s3][s3s3][s1s2][s5s6][s5s5][s2s2][s3s4][s4s5][s2s3][s3s3][s4s4][s4s5]1[p軈L11p軈U11]=[0.10.2][p軈L21p軈U21]=[0.20.5][p軈L31p軈U31]=[0.30.4][p軈L41p軈U41]=[0.10.4][p軈L12p軈U12]=[0.00.2][p軈L22p軈U22]=[0.20.5][p軈L32p軈U32]=[0.30.6][p軈L42p軈U42]=[0.20.4][p軈L13p軈U13]=[0.20.4][p軈L23p軈U23]=[0.30.4][p軈L33p軈U33]=[0.30.5][p軈L14p軈U14]=[0.30.4][p軈L24p軈U24]=[0.20.3][p軈L34p軈U34]=[0.40.5]2p軈11=0.138p軈21=0.313p軈31=0.338p軈41=0.213p軈12=0.060p軈22=0.290p軈32=0.390p軈42=0.260p軈13=0.280p軈23=0.340p軈33=0.380p軈14=0.333p軈24=0.233p軈34=0.4333Z=[s3.538s4.350][s3.750s4.850][s3.480s4.200][s3.100s3.767][s4.163s4.475][s3.510s4.380][s2.740s3.460][s2.700s3.700][s3.425s4.075][s3.980s4.330][s2.960s3.960][s3.667s4.100]軈軈4Z+=[s4.163s4.475][s3.980s4.850][s3.480s4.200][s3.667s4.100]Z-=[s3.425s4.075][s3.510s4.330][s2.740s3.460][s2.700s3.700]5W+=0.2540.3060.2240.216W-=0.2670.320