群体决策中专家决策的一种定量集成方法陶跃

:1004-485X(2003)03-0010-03　　:2003-05-10　　:(200207019)　　:　,(1963—),,。陶　跃　杨　勇(,130022)　:本文针对群体决策中的群体评价问题,给出了一种集成多专家评价的协调分析方法,并且给出了应用实例;同时,初步提出了多目标变权协调分析的数学模型。:群体决策;群体评价;协调分析;定量集成:TP　:A　　(GroupDecisionSupportSys-tem,GDSS)2080DSS,:,()。,()、,,,。,。,,H.A.。:Trade-off、、、(Entropy)(AHP)。,,。,(CompromisePrinciple),(),,。1　,:U=A1,A2,…,An:V=B1,B2,…,Bm,。,。:1:,nA1,A2,…,An。2:(1)B1,B2,…,Bm;(2)。PijAji。0～1,[1]。3:,,。AHP。[1]。1。1　A1A2……AnWB1P11P12……P1nW1B2P21P22……P2nW2BmPmlPm2……PmnWm　　4:。Ci=∑nj=1j≠iCij-∑nj=1j≠iCji,263Vol.26No.320039JournalofChangchunUniversityofScienceandTechnologySep.2003di=∑nj=1j≠idij-∑nj=1j≠idji:Cij=K/PkiPkj,Dij=K/PkiPkj,WT=(W1,W2,…,Wm)。Cij=∑k∈CijWk/∑mk=1Wk,dij=∑k∈DijWk|Pki-Pkj|dmax(k)/M,i,j=1,2,…,ndmax(k)=max|Pki-Pkj|,M。,。5:。2　。①:。::a);b)。:a);b);c)。,,。(2),。2　ABC20(0.6)25(0.5)30(0.4)0.380(0.2)90(0.1)100(0.0)0.1ABC500(0.5)600(0.6)1000(1.0)0.470(0.7)80(0.8)90(0.9)0.160(0.6)90(0.9)90(0.9)0.1　　,:3　A:ABCA—0.40.4B0.6—0.5C0.60.6—4　B:ABCA—1.01.0B0.5—0.8C1.00.5—　　A、B、C,:CA=(0.4+0.4)-(0.6+0.6)=-0.4CB=(0.6+0.5)-(0.4+0.6)=0.1CC=(0.6+0.6)-(0.4+0.5)=0.3DA=(1.0+1.0)-(0.5+1.0)=0.5DB=(0.5+0.8)-(1.0+0.5)=-0.2DC=(1.0+0.5)-(1.0+0.8)=-0.3C。3　,。,。:①,;②。,,。,,,,。,。Ak,Ak。:Ck=maxl≤i≤n(Ci)dk=minl≤j≤n(dj)maxcimin-Ci,mindiminM·di,WT·e=1AkminM·di-Ci。Cidi,,Ak(k∈{1,2,…,n})WT(P),113　:(P)min(Mdi-Ci)=Mdk-Cks.t.|Ci|≤n-1,|d1|≤n-1M,　　　　　　　　i=1,2,…,nWT·e=1,0We:eT=(1,1,…,1)m。。4　,。,(),,。,。　　　[1]..,2001[2]..,2001,31(2):56～60[3]Graypaul,groupDecisionSupportSystem,DecisinSup-portSystem,1987,3:233～242[4],..,1995,6:57～63[5],,.GDSS.,1997,7(4):16～22AQuantitativeSyntheticMethodforExpertDecisioninGroupDecisionTAOYue,YANGYong(CollegeofComputeScienceandTechnologyofChangchunUniversityofScienceandTechnlogy)Abstract:Thispaperpresentsaquantitativesyntheticmethodforexpertdecisionofgroupevaluationingroupdecision,whichiscalledconcordanceanalysis.Thepracticalexampleisgiventoshowtheavailabilityoftheconcordancemodel.Andthebasicmathematicalmodelofconcordanceanalysisofmulticriteriadecision-makingwithvariedweightisalsointroduced.Keywords:Groupdecision;Groupevaluation;Concordanceanalysis;Quantitativesynthesis(上接第21页)[3]....,2001[4]NirwanAnsariEdwinHou.Computationalin-telligenceforOptimazation[m].Academicpublishers1997:109～116AApproachforJob-shopSchedulingLIUZhe,YANGJingsong,CUIGuangcai(SchoolofComputerScienceandTechnologyofChangchunUniversityofScienceandTechnology)Abstract:Inthispaper,thewriterinvestigatedtheproblemofschedulingpartsinjobshoptypeflexiblemanu-facturingsystemandbuildamathematicmodelwhichasresolvedbygeneticalgorithm.Theresultsindicatethattheproposedalgorithmcanobtainsatisfactoryoftheproblems.Keywords:Felixiblemanufacturingsystems;Geneticalgorithm122003