一种考虑稳定性的动态综合评价新模型

doi:10.3969/j.issn.1001-893x.2013.05.004一种考虑稳定性的动态综合评价新模型吴吉祥,夏靖波,李凡,王恺(,710077):针对动态综合评价需要考虑被评对象的稳定性问题,提出了一种综合考虑指标权重时间权重和稳定性的动态综合评价模型定义了稳定因子来表征被评对象指标的稳定程度,采用离差最大化的方法确定指标权重,提出了一种基于极小范数时间权重确定方法将所提模型应用于军事IP网络评价,结果表明该模型能够把被评对象的稳定性反映到评价结果中:网络性能评价;动态综合评价;稳定因子;指标权重;时间权重;离差最大化;极小范数:TN915:A:1001-893X(2013)05-0548-05ANewDynamicComprehensiveEvaluationModelConsideringStabilityWUJixiang,XIAJingbo,LIFan,WANGKai(SchoolofInformationandNavigation,AirForceEngineeringUniversity,Xian710077,China)Abstract:Thestabilityofevaluatedunitneedbeconsideredfordynamiccomprehensiveevaluation.Amodelofdynamiccomprehensiveevaluationisproposedwhichconsidersattributeweight,timeweightandstabilityfactor.Thestabilityfactorisdefinedtodenotethestabilitydegreeofevaluatedunit.Theattributeweightisobtainedutilizingthemethodofthemaximaldeviation.Amethodofminimumnormisproposedtogetthetimeweightandtheprocessofcalculationisintroduced.TheproposedmodelisappliedtotheevaluationofmilitaryIPnetworkandtheresultisaffectedbyresultattributestability.Keywords:networkperformanceevaluation;dynamiccomprehensiveevaluation;stabilityfactor;attributeweight;timeweight;maximaldeviation;minimumnorm1,,,,,!,,!,[1][2][3][4],[5-7],,[8][9][10],,∀548∀53520135TelecommunicationEngineeringVol.53No.5May.2013:[e-mail]:[e-mail]:2012-11-16;:2013-03-12Receiveddate:2012-11-16;Reviseddate:2013-03-12:全军军事类研究生资助课题(2010XXX-X88,2011XXX-X23);陕西省自然科学基础研究计划项目(2012JZ8005)FoundationItem:TheResearchTopicofMilitaryScienceGraduateStudent(2010XXX-X88,2011XXX-X23);ProvincialNaturalScienceFoundationResearchProjectofShaanxiProvince(2012JZ8005),,,,,,,,,,,,!,,,IP,2n()s1,s2,#,sn,mx1,x2,#,xm,t1,t2,#,tN,{xij(tk)},,,,,4:(xij(tk))=∃Nk=1ck∃mj=1wjk(Sijxijk),i=1,2,#,n(1),Sij,;wjktkj,;c=(c1,c2,#,cN),,Sij,,,,:Sij=exp(1-Dij∃ni=1Dij)(2),DijijSij,[1,e]xijk,xijk=Sijxijk(3)ijSij3,,,;,,,,,,,,k,ijdijk(w),dijk(w)=∃nl=1xijk-xljkwjk,i=1,2,#,n;j=1,2,#,m(4)djk(w)k,j,,djk(w)=∃ni=1∃nl=1xijk-xljkwjk,j=1,2,#,m(5)kmn,:maxdk(w)=∃mj=1djk(w)=∃mj=1∃ni=1∃nl=1xijk-xljkwjk(6)s.t.∃mj=1w2jk=1,wjk%0(7)Lagrange:∀549∀53,,,:5Lk(w,)=dk(w)+(∃mj=1w2jk-1)(8),Lwj=∃ni=1∃mk=1xijk-xljk+2wjk=0,j=0,1,#,m(9)L=∃mj=1w2jk-1=0(10)wjk=∃ni=1∃ml=1xijk-xljk∃mj=1∃ni=1∃nl=1xijk-xljk(11)wjkkj,,k4ckk,,,[11],=∃Nk=1N-kN-1ck,,0,;1,;05,[6],,,:min&c&(12)s.t.=∃Nk=1N-kN-1ck∃Nk=1ck=1,ck∋[0,1],k=1,2,#,N(13),,,Y=Bc=1N-2N-1#011#1c1c2!ck(14),Y=[,1]TMoorePenroseB+:cmin&c&=B+Y(15),ck∋[0,1](15)ck01,:1:(15),ck∋[0,1],ck;2:ck1,k1,0,ck;3:ck0,B00,1ckSijwjkck,(1)5IP,ABCDE5,:,,;,;,,53,11,(2)Sij,2(3)1,(11)3,∀550∀[6],03,,3(01333,03333,05333),(1)[2][3][11],44Table4TheevaluationresultsandcontrastABCDE0.32830.93690.69860.01550.6000B!C!E!A!D0.49670.51470.49770.39230.4156B!C!A!E!D0.54000.63500.61000.52100.5380B!C!A!E!D1.45601.56101.98401.23201.5340C!B!E!A!D4,BC1,C4B,B,,BC6,,,,,,!,,IP,:[1]HuangYH.ResearchontheDynamicComprehensiveEvaluationBasedonInformationIntegrated[C]//Proceedingsof2010InternationalSymposiumonComputer,Communication,ControlandAutomation.Tainan:IEEE,2010:225-228.[2],,.[J].,2004,12(1):64-67.JINJuliang,WANGShujuan,WEIYiming.Projection∀551∀53,,,:5PursuitModelforDynamicMultipleAttributeDecisionProblems[J].ChineseJournalofManagementScience,2004,12(1):64-67.(inChinese)[3],.[J].,1995,13(1):23-27.FANZhiping,XIAOSihan.ARelationGradeApproachforTheDynamicMultipleAttributeDecisionMaking[J].SystemsEngineering,1995,13(1):23-27.(inChinese)[4]WangYH,XiaoXM,ZhangCC.TheResearchofDynamicandComprehensiveEvaluationofInteroperableTrustBasedonFuzzyComprehensiveEvaluationwithVariableWeights[C]//Proceedingsof2010SecondInternationalConferenceonComputerModelingandSimulation.Sanya,Hainan:IEEE,2010:569-574.[5],,,.[J].(),2009,30(6):889-892.YIPingtao,ZHANGDanning,GUOYajun,etal.StudyonDimensionlessMethodsinDynamicComprehensiveEvaluation[J].JournalofNortheasternUniversity(NaturalScience),2009,30(6):889-892.(inChinese)[6].[M].:,2007:101-111.GUOYajun.Thetheory,methodandapplicationofcomprehensiveevaluation[M].Beijing:SciencePress,2007:101-111.(inChinese)[7],,.[J].(),2011,32(6):891-894.HUANGWeiqiang,YAOShuang,GUOYajun.DynamicComprehensiveEvaluationModelofIncompleteIndexPreferenceInformationandItsApplication[J].JournalofNortheasternUniversity(NaturalScience),2011,32(6):891