直觉模糊数-一种新的决策工具 (2013.10.17) 3

徐泽水[e-mail]解放军理工大学理学院直觉模糊数一种新的决策工具SupportInavotingproblemObjectionAbstentionK.Atanassov.Intuitionisticfuzzysets,FuzzySetsandSystems,1986,20(1):87-96.Citedtimes:3738GrowthtrendgraphofpapersaboutintuitionisticfuzzysetsindexedinSCI-Expanded,SSCIGrowthtrendgraphofpapersaboutintuitionisticfuzzysetsindexedbyEICompendex,(),()|AAAxxxxX,vIntuitionisticfuzzynumbers(,)(0.5,0.3)Theintuitionisticfuzzynumberhasaphysicalinterpretation,forexample,ifwhichcanbeinterpretedas“thevoteforresolutionis5infavor,3against,and2abstentions”.(,)AnorderrelationbetweenintuitionisticfuzzynumbersDefinition.Letbetwointuitionisticfuzzynumbers,andarethescoresandtheaccuracydegreeofandrespectively,then(1)ifthen(2)ifthen(i)ifthen(ii)ifthen(,)(1,2)iiii()iiis()(1,2)iiihi12()(),ss12;12()(),ss12()(),hh12;12()(),hh12.12E.Szmidt,J.Kacprzyk(国际模糊系统协会(IFSA)前主席、IEEEFellow、IFSAFellow、波兰科学院院士).AmountofinformationanditsreliabilityintherankingofAtanassov’sintuitionisticfuzzyalternatives.in:E.Rakus-Andersson,R.R.Yager,N.Ichalkaranje,L.C.Jain,(Eds.),RecentAdvancesinDecisionMaking,Berlin:Springer-Verlag,2009,pp.7-19.()0.52()(1,0),iiiiRvdLetandbethreeintuitionisticfuzzynumbers,thenAlltheresultsaboveareintuitionisticfuzzynumbers.(,),v222(,)v12121212(4)(,);vv12121212(5)(,);vvvv(6)(1(1),),0;v111(,)v(7)(,1(1)),0.v(1)(,);121212(2)(min{,},max{,});121212(3)(max{,},min{,});BasicoperationallawsTheorem.Letandbethreeintuitionisticfuzzynumbers,andthen222(,)v12,,0,111(,)v(,),v1121(1);1121(2);1212(3)();1212(4)();1212(5)();1212(6).BasicpropertiesZ.S.Xu.Intuitionisticfuzzyaggregationoperators.IEEETransactionsonFuzzySystems,2007,15(6):1179-1187.Citedtimes:401.2008年中国百篇最具影响国际学术论文奖;2007年以来该期刊发表论文中引用率排名第一;ESI高被引论文.Z.S.Xu*,R.R.Yager(IEEELifeFellow,IFSAFellow).Somegeometricaggregationoperatorsbasedonintuitionisticfuzzysets.InternationalJournalofGeneralSystems,2006,35(4):417-433.Citedtimes:393(2006年以来该期刊发表论文中引用率排名第一；ESI高被引论文)Z.S.Xu*,X.Q.Cai.IntuitionisticFuzzyInformationAggregation:TheoryandApplications.Springer-Verlag,SciencePress,2012.徐泽水.区间直觉模糊信息的集成方法及其在决策中的应用.控制与决策,2007,22(2):215-219.Citedtimes:354.(2007年以来该期刊发表论文中引用率排名第一)1.Intuitionisticfuzzyweightedaggregationoperators112111(,,...,)1(1),()iiiinnnwwniiiiifwv112111(,,...,)(),1(1)iiiiinnn(2):123-139.Citedtimes:6311211(,,...,),iinnniiiifwwvG.Beliakov,H.Bustince,D.P.Goswami,U.K.Mukherjee,N.R.Pal(印度科学院院士、工程院院士、IEEEFellow、IFSAFellow、IEEETransactionsonFuzzySystems前主编).OnaveragingoperatorsforAtanassov’sintuitionisticfuzzysets.InformationSciences,2011,181:1116-1124.Citedtimes:6611112112211(,,...,)(),()iinnniiiifhwhhwhvZ.S.Xu.AnoverviewofmethodsfordeterminingOWAweights.InternationalJournalofIntelligentSystems,2005,20(8):843-865.Citedtimes:318(2005年以来大陆地区计算机学科领域被引次数最多的20篇论文之一(摘自Scopus))22()21(),2xufxexZ.S.Xu.Intuitionisticpreferencerelationsandtheirapplicationingroupdecisionmaking.InformationSciences,2007,177(11):2363-2379.Citedtimes:255(2007年以来该期刊发表论文中引用率排名第七;ESI高被引论文)111112121121212222221122(,)(,)(,)(,)(,)(,)(,)(,)(,)nnnnnnnnnnnnvvvvvvvvv1x2xnx1x2xnx...............Z.S.Xu,H.C.Liao.IntuitionisticFuzzyAnalyticHierarchyProcess.IEEETransactionsonFuzzySystems,2013,inpress.Z.S.Xu,R.R.Yager.Dynamicintuitionisticfuzzymulti-attributedecisionmaking.InternationalJournalofApproximateReasoning,2008,48(1):246-262.Citedtimes:193(2008年以来该期刊发表论文中引用率排名第一;ESI高被引论文)Z.S.Xu.Intuitionisticfuzzymulti-attributedecisionmaking:Aninteractivemethod.IEEETransactionsonFuzzySystems,2012,20(2):514-525.Z.S.Xu.IntuitionisticPreferenceModelingandInteractiveDecisionMaking.Springer-Verlag,inSeries:《StudiesinFuzzinessandSoftComputing》,Heidelberg,NewYork,2013.Z.S.Xu,J.Chen,J.J.Wu.Clusteringalgorithmsforintuitionisticfuzzysets.InformationSciences,2008,178(19):3775-3790.Citedtimes:117.徐泽水进入ESI(2003-2013)全球前1%的高被引论文18篇。在计算机科学领域进入ESI全球前1%的2688名科学家(Scientists)中，徐泽水排名第162位。在工程学领域进入ESI全球前1%的7645名科学家(Scientists)中，徐泽水排名第885位。Thanks!