基于粗糙集和灰色关联度的电力公司评价方法

26120092ModernElectricPowerVol126No11Feb12009:1007-2322(2009)01-0088-05:A:F407161黄仙,方璐(,102206)EvaluationMethodforPowerGenerationCompaniesBasedonRoughSetandGreyRelationalDegreeHuangXian,FangLu(SchoolofControlScienceandEngineering,NorthChinaElectricPowerUniversity,Beijing102206,China):,,,;,;,202007,,,:;;;;Abstract:Asthetraditionalweightsettingmethodsarenotreasonableenough,whichmakesitdifficulttocarryoutef-fectivecomprehensiveevaluationforenterprises,agreyre-lationaldegreeevaluationmethodbasedonroughsettheoryisproposed.Aninformationsystemisestablishedbyapply-ingtheroughsetandexpertadvicestocalculatetheindexweightsofeachlayer.Agreyrelationalmatrixofindexisobtainedthroughgreyrelationaldegreecalculation.Anevaluationmodelwithweightedgreyrelationaldegreeisde-velopedbasedonindexweightinformation.Anexampleof20listedpowercompaniesarestudiedaccordingtotheirf-inancialreportsin2007.Theresultverifiestheproposednewmethodisfeasible,whichcaneffectivelyovercomethesub-jectivepreferenceofweightsetting.Suchacomprehensiveevaluationresultcanprovidescientificsupportforthedec-ision-makingofcompanymanagersandinvestors.Keywords:listedpowergenerationcompany;indexsystem;roughsettheory;greyrelationaldegree;comprehensiveevaluation0,,,,,,4[1-3]:()()(),,;,,,,,,,,1[4](RoughSet)Z1Pawlak1982,,,1S=(U,A,V,f),,U,;CGD=A,CD;V=GaIAVa,Vaa;fU@AyV,,aIA,xIU,f(x,a)IVaXURIIND(S),:RX=G{YIU/R|YX};RX=G{YIU/R|YHXX–}XposR(X)=RXR,negR(X)=U-RXXR2K=(U,R),P,QARPiAPQpi(Q)=CP(Q)-CP-Pi(Q)(1),CP(Q)=|posP(Q)|/|U|QP,,:¹,,C,Dº;»pos(C-{Ci});¼CiDpi(D)=CC(D)-CC-{Ci}(D);½pi,Ci,Pci=pi(D)Enj=1pj(D)2211[5]1982,,,,,212,:m,n,X=xij(m@n),,,1[i[m,1[j[n21211,,[0,1]¹,yij=xijmax1[i[m(xij)(2)º,e,yij=1-|xij-ej|max1[i[m|xij-ej|(3),/0,21212,Y0:Y0=[y0(1),y0(2),,,y0(n)],21213,$0i(j)=|y0(j)-yi(j)|(4)max1[i[m,1[j[n{$0i(j)}=$maxmin1[i[m,1[j[n{$0i(j)}=$min891:21214ijyijFi(j)Ni(j)=$min+Q$max$0i(j)+Q$max(5)Q,(0,1),01521215,,ri=1nEnj=1Ni(j),,Ei=Enj=1wiFi(j)(6),34,,412,:¹(B1):(C1),(C2),(C3);º(B2):(C4),(C5),(C6),(C7);»(B3):(C8),(C9),(C10);¼(B4):(C11),(C12)4411,20200712,VC++6101C1C2,C11C12015316016076,-011008018047011434011700,-012307011145,,013297013405,013794016473012511012763,012502012599412,)C={C1,C2,C3},D={B1}22C1C2C3B1C1C2C3B1C1C2C3B1111111021121931122112111212220312231131122132213133412111322122232125122214222223322361232152232243233713121623122533138132217232326332391333182333273333:1/0,2/0,3:¹();º,2,U/C={{1},{2},{3},{4},{5},{6},{7},{8},{9},{10},{11},{12},{13},{14},{15},{16},{17},{18},{19},{20},{21},{22},{23},{24},{25},{26},{27}};U/B1={{1,2,3,4},{5,6,7,8,10,11,12,13,14,15,16,19,20,22},{9,17,18,21,23,24,25,26,27}};902009U/{C1,C2}={{1,2,3},{4,5,6},{7,8,9},{10,11,12},{13,14,15},{16,17,18},{19,20,21},{22,23,24},{25,26,27}};U/{C1,C3}={{1,4,7},{2,5,8},{3,6,9},{4,7,11},{10,13,16},{11,14,17},{12,15,18},{19,22,25},{21,24,27}};U/{C2,C3}={{1,10,19},{2,11,20},{3,12,21},{4,13,22},{5,14,23},{6,15,24},{7,16,25},{8,17,26},{9,18,27}};posC(B1)={1,2,3,,,26,27};CC(B1)=|posC(B1)|/|U|=27/27=1;posC-{C1}(B1)={9,18,27};posC-{C2}(B1)={10,13,16,21,24,27};posC-{C3}(B1)={1,2,3,10,11,12,13,14,15,25,26,27}p1(B1)=CC(B1)-CC-{C1}(B1)=1-3/27=8/9;p2(B1)=CC(B1)-CC-{C2}(B1)=1-6/27=7/9;p3(B1)=CC(B1)-CC-{C3}(B1)=1-12/27=5/9PC1=014,PC2=0135,PC3=0125,,141341311,,C1C2C3,1,240%,(3),(2)[0,1]Y0413122012Xi={Xi(1),Xi(2),,,Xi(12)}(i=1,2,,,20),Y0(4)(),(5)341313(6)43420073C1C2C3C4C5C6C7C8C9C10C11C12016096015777016814017764014926015845015877014580014659015346013856014437014513014921017093015637014636015062014960014684014733015117013332014457014535014934015404015342014645014980015267014689014740015104015208014445015653015512016350015293014740015303015285014989014620015263017694110000110000017714016624015944014606017373015837014886014557110000016179014554015561015390016918015683015181016009016032015929110000015206016165014607018700110000110000014894014768014846014693014827014399014744014162014621014498014877014473015030015137015054110000014501014819014787016406014444019047017172016119015627014686014643014811014624014420014810110000015364017395016139019875016173014907017173015684014581015002016057014733014623018805016574018510110000015524018096015904014699014848015077014971014406014987015222015641014530014444014488014513014543014581015116013433014067017133017229018363014491014430014577014495014763014502016770017511014311015181015300018313015783014908017267016095014634014744015778013841014873015356015466015876019724014822015747015839014566014504015099018643014832ST015005015230015378014088013715014079013790014428014431014577015007014873017134016123016126018093014751015727015906014581014706015191019185014595015784015519019318018755110000110000015880014582014605014711016724014683015155015223018254017498015059017449016812110000018187016051019198014790014863015105015427015885014851015596015672014574014769015032016700014543911:1,,,,;5,,,,,42007015512840148630201487188016148160160947201588173015216840150698201555939015744161118174581316109ST016530240144665015113640154859501605983014423720159110401683122016914701519503319151262072114[1],.[J].,2005(7):70