群决策的交互式TOPSIS方法及其应用陈建中

23320086JOURNALOFSYSTEMSENGINEERINGVol.23No.3Jun.2008TOPSIS①`,2,’(1.,610060;2.,550004):,TOPSI(Steehniquefo:。rde:perferene。bysimilairtytoidealsolution),,;,,.,,.:;;TOPSIS:C931:C934:A:l0(5781(2008)03027606TOPSISbasedinteracitvemulit·attirbutesgrouPdeciison·maikngmethodanditsaPPlicaitoneHENJian·zhongl,2,xuJiuping,(1.SehoolofBusinessandAdministration,SiehuanUnivesrity,Chengdu610064,China;2.SehoolofInfomrationManagement,GuizhouCollegeofFinaneeandEeonomies,Guiyang550004,China)Abstraet:AkindofsynthetiemethodformultiattirbutegoruPdeeisionmaking(MAGDM)problem15PorPosed.BasedonTOPSIS(teehniqueforoderPerfereneebysimilairtytoidealsolution),themethodmakesuseoftheorderPerfereneeifonmrationandmultistepsinteraetivemethodtoevaluate,seleet,odrerandapPorximategoruPidealpointstepbystepforalternatives.Gorupsatisfaetionde-eparametersaeralsodesignedotweihgt『oupeonsensus,andsotheodrerofaltemativesaregiv-enouteonveniently.Finallyanplieationexample15igventoshowrationalityandeffeetofthemethodandapraetiealteehniealframeofuPdeeisionsuPportsystemeanbebuilt.Keywodrs:multiattirbutesupdeeisionmaking;intearetivesorupdeeisionmakingsynthetiemethod;TopSIS(teehniqueforodrerperfeerneebysimilairtytoidealsolution)method0[’〕,,“”,、,,,Hwang〔’,、.“”,、、,①:20060515;:20070914.:(70425005);(2300238343)3:TOPSIS277,.1),,;2)、,,;;3),,.,,,、[46〕,(AHP);,〔78J.「8],TopSIS(teehniqueforodrerprefer-encebysimilairtytoidealsolution),;,,,〔’;〔8,’。`2〕.,,.,,,,,、,,,,.,,11],,,.,,.TOPSIS、、,;,,,;,,.,,.,.1,y,,yZ,…,,:X=(xl,xZ,…,x),Y=(y,,yZ,…,),D=d(1,dZ,…,d。),,,,,.:ip,,(AH)P19,.i1,2,…,p11`l…,lesesesesesesJ`ll202`111ZrilailOZnaa1222…n2aaa1121:。n1aaa…||lesLǐleseswelllesesesesesesJ111`lananZ’“annanles.|||lesesesesesesesL…`||、。y,ix*xj,,i=1,2,…,m,aj^=l/akj,,;SaaytAHP,injAx。:l)k。*k·=(a、:),k=1z,`),2…,n2)sj=a。,`m。=z*S*27823,,〔”〕,1pz`.11212z`=】“,,1uZ。1.,,1、)`…’=1,、,nPJ1,icj1,.,(3)cln…`,ùJ.J,…CCJ.l.1,l,`…CC,,,.,ToPsls〔’4」,,“,“(i=1,2,…,m)z`,z`.w(,、2…。)T,(`=`),。、`Al=(。ij)。x,,:ai`=“1],1=1,2,m;]’=1,2,…,p.,2A=a(。),x;,U,UlA,2A(),.,UJ,Ug,,CmlClesesesesesesesesesesesJ21,:mCClesesesesesesesesesesesesesLzna2=(:5:iU(:,,’),’)z.,、、Z、、、…,m;k=1,2,…,.n,(j=1,2,…,.ijc。sJ/(sJ+SJ),0e。`1(2),。。1,,icj0,,icj0,,,,,.l),:(a),,;(b);(c),,,,(a)(。).,,,;,.,,,,,[s〕.,,.c。,1,ic])c。0,(4)3:TOPSIS279(4)01,31122122`mlm2nZn(5)mnGSI,esl=(6)=j1=ll2),,,,.GSor,,,,,,:,GSIO,,.c。GSIO,、,,,.,,,,,,,,.,0.4,;0.6,.,.,.,,,,,,,,、,,.,,,,,,,AHP,,TOPSIS,,,,.,.,=c。,j=1,2,…,n.i1,,n,.,,.,(IGDsS,interactivegroupdeeisionsupportsystem),ASP.NET,SQLSERVER;NITERNET,,.IGDSS,Internet28023、;YZ:,、、、;Y3:,、、、;4Y:,、、,..,,.,,、.,,W=(0.200.200.250.35),,,,,,z,,22,z。…,24TTǐleseswellJ-Fes|||||||J「!…ìlesesresweeses||||LleeesesesesesesesesesesesLWeb,,web.,,.,Web.,.1,AHP;AHP,,z`,i=1,2,…,m;2u,u;3,;lA,2A;4,,;5C;6。1;7GSI,GsIO,,,,1,;8,,,,.4,,,,.,,,,,,:lY:;、0.2230.2470.0860.3260.118.00’780.2080.5860.00.〔0.0《)0.5930.50.1170.50.1500.30.10.1680.5980.201.02180.0350.103.04430.(0.3520.3740.0)0.1240.0580.90.10.2500.1820.2760.mg0.0510.2150.3780.2730.2520.1450.2380.20.mg0.2140.5300.90.1280.0360.5170.0590.1420.2460.14〔】0.0560.0340.2030.5670.3270.3130.1150.0550.10.1120.1920.4740.0800.1420.0710.5580.0’7l0.50.2250.1690.《80.80.4770.580」’」T““,“,“,“,u,“.u=(0.3260.5860.5930.598)u=(0.0860.0340.0400.041)u(0.4430.3740.4490.378)u=(0.0350.0600.0580.051)3:TOpSIS128u=(0.2730.5300.5710.567)u=(0.9020.9040.0360.034)u=(0.3720.4740.5580.477)u=(0.0550.0800.0710.048)ml=0.1422,mZ=2.0443,m3=1.5785,m4=1.2329,ms=1.9187.,,X3X,,2.IGDSS,.=(0.388=(0.0660.4910.0590.5330.0540.555)0.044)5+ggUUCleseseseseseseseeee|J,à,`,U049555é.、J,4nUēUnUn0.20430.28540.23580.30060.51540.52250.49430.51310.42080.30320.40680.44770.29590.29220.27190.3729llsseeLCc。=0.4,01,GSIO=0.6.Dsl(*)=0·,·GSor,1,,,,,GSIZ0.6)GsIO.,,,,;TOPSIS,,.,,;,,,.,.TOSPIS,,,,,.:[l〕AmrwKJ.SoeialChoieeandIndividualValues〔M」.NewYokr:Wiley,1963.[2]SenAK.ColleetiveChoieeandSoeialWelfaer[M].Amstedram,NorthHolland:ElsevierSeieneeB.V.,1979.[3〕HwangCL,YoonK5.MultipleAtitrbuteDeeisionMakingMethodandApplieation.[M〕.Belrin:SpirngerVelrag,1981.[4〕HwangCL,LinMJ.GroupDeeisionMakingUnderMultipleCirteira:MethodandApplieation[M].Belrin:SPirngVer-lag,1987.〔5〕Kim5H.Interaetiveoupdeeisionmakingporeedureunderineompleteinfomration〔JJ.EuropeanJounralofOperationalReseareh,1999,116(2):498507.[6〕Kim5H.AutilityarngebasedintearetivegorupsupportsystemformultiattirbutedeeisionmakingJ〕.Computersandop-eartionReseareh,2001,28(5):485503.[7」FedirzziM.OnaConsensusMeasureinaGorupMCDM,MultipesronDeeisionMakingM」.Netheirand:lKuwerAeademieuPblishesr,1990.[8〕,.J」.,1998,1(4):3438.(346)34623[74),,.【J].,2004,(4):646.[48」,,.〔J].,2005,24(1):3134.[49」eooknF,ehiuCC.usingradialbasisfunetionneuarlnetwokrstoreeognizeshiftsineoerrlatedmanaufctuirngporcesspa-rametersJ].IIETransaetionS,1998,30(3):227234.[50jWestDA,MangiamelipM,Chen5K.ContorlofeomplexmanufaetungProeesses:AeompairsonofSpCmethodswithaardialbasisfunetionneuralneork[J」.InternationalJounralofManagementSeienee,1999,27(3):349362.[51〕ChiuCC,ChenM,eK.shiftsreeognitionineorrelatedporeessdatausinganeuarlnewtork[J〕.IntenrationalJounralofSystemsSeienee,2001,32(2):137143