简介:LetamovingplaneMPoverafixedplaneFPoccupyfourdifferentpositions.Eachpairofsuchpositionsisassociatedwithacenterofrotationcalledpolesothatwehavea6-poleconfiguration.Asanillustrationofourgeneralmethodofmechanicaltheoremprovinganddiscovering,wediscussinthepresentpaperinsomederailscertaintheoremsconnectedwithsuchaconfiguration.
简介:Onthebasisofanalyzingtheflawsofpresentsomemultipleattributesclassificationdecision-makingmethods,tothequestionofcharacteristicsofthemultipleat-tributesclassificationdecision-makingandparticularemphasisofrespectiveattributesinthedecision-makingprocess,aswellasitsrelevancetothedecisionmakingenvironment,thepaperfirstlyformulatesanoptimalattributessystem,thenusestheMultiplicativeAnalyticHierarchyProcess(MAHP)todeterminesubjectiveweightcoefficients,estimatetheobjectiveweightcoefficients,establishestheoptimalmodeloftheweightcoefficientsofthewholeoptimalattributessystem,andobtaintheweightsonattributes.Furthermore,thepaperpresentsadecision-makingmethodandgivesitsdetailimplementationprocedure.Finally,anexampleisgiventoshowthefeasibilityandeffectivenessofthismethod.
简介:Fromamathematicalmodelofonekindcomplicatedfinancialsystem,correspondinglocaltopologicalstructuresofsuchkindsystemonconditionofcertainparametercombination,unstableequilibriumpointofthesystem,conditionsonwhichHopfbifurcationiscreatedandstabilityofthelimitcirclecorrespondingtotheHopfbifurcationaswellasconditiononwhichthelimitcircleisstablehavebeenstudied.FromrelationshipbetweeneachparameterandtheHopfbifurcationallthewaytoroutewhichleadstochaosetchavebeenstudied.Followingtheabove,conditionsonwhichcomplicatedbehaviorscreatedlocallyinsuchkindsystemhasbeenanalyzed.Byapplyingfractaldimension,Lyapunovindex,theintrinsiccomplexityofthesystemonsuchconditionhasbeenstudied,andresultofthenumericalsimulationprovesthetheoryofthispapercorrect.
简介:Inthispaper,wegiveanorder-preserving,isometricandisomorphicembeddingoperatorfromthefuzzynumberspaceE~1toaclassicalBanachspaceandshowsomenecessaryandsufficientintegrabilityconditionsoffuzzyintegralswhichweredefinedbyM.MatlokaandO.Kalevabymeansofsuchanoperator.
简介:这份报纸表明D不变的多项式subspaces的二个班的等价,即,subspaces的这二个班是宽度一个的不同代表D不变的subspace。而且,作者为宽度一个在理想的插值解决分离近似问题D不变的subspace。也就是,作者发现点以便在这些点的评估functionals的限制空间是给定的D不变的subspace导致的功能的空间,当评估点都在一个点联合。
简介:Basedontheinformationentropy,amodelforwaterqualityassessmentisUsingthismodel,thepapergivesacasestudyonthewaterqualityassessmentRiver.Thespace-timevariationlawofthewaterqualityisanalyzedalsointhisresultindicatesthatthemodelpossessessomeclearmathematicandphysicalanditissimple,practicalandaccurate.
简介:Inthispaper,simultaneousuniformapproximationandmeanconvergenceofquasi-HermiteinterpolationanditsderivativebasedonthezerosofJacobipolynomialsareconsideredseparately.Thedegreesofthecorrespondingapproximationsarerespectivelygivenalso.Someknownresultsareimprovedaudextended.
简介:Theproblemofmeasuringconflictinlarge-groupdecisionmakingisexaminedwitheverydecisionpreferenceexpressedbymultipleintervalintuitionistictrapezoidalfuzzynumbers(IITFNs).First,adistancemeasurementbetweentwoIITFNsisgivenandafunctionofconflictbetweentwomembersofthelargegroupisproposed.Second,membersofthelargegroupareclustered.Ameasurementmodelofgroupconflict,whichisappliedtoaggregatinglarge-grouppreferences,isthenproposedbyemployingtheconflictmeasureofclusters.Finally,asimulationexampleispresentedtovalidatethemodels.Thesemodelscandealwiththepreferenceanalysisandcoordinationofalarge-groupdecision,andarethusapplicabletoemergencygroupdecisionmaking.
简介:Thepaperestablishedadoublefilteringmethod(DFM)tovisualizetheskeletonindustrialstructure(SIS)ofoneeconomyandfinditsevolutionrule.Differentwiththepreviousresearches,thismethodisfromanewviewofindustrialconjunctionscombinedbyleadingsectorstodepicttheindustrialstructure.ItwasprovedthattheleadingsectorselectedbyDFMmustbekeysectorselectedbyHirschman-Rasmussenmethod.AppliedDFMtoinput-outputtablesofChina,JapanandUSAandMFAtoJapan,andUSA,theresultsanalysisshowedthatDFMcouldovertakethetwomainshortcomingsofminimumflowanalysis(MFA),scratchSISofeacheconomywithitsowncharacteristics,visualizethegeneralevolutionrulesoftheindustrialstructurewithcrisscrossedconjunctionsamongleadingsectors.
简介:DELAY_Nisakindofimportantfunctioninsystemdynamic.Studiesaboutthebasicrelationaltypebetweenitsinputandoutputunderthediscretestatehavethesignificantinfluenceandinstructionindeterminationsystemdynamicsmodelparameter,indebuggingmodel,andinanalyzingresult.ThearticlehasobtainedtheDELAY_Ninputoutputrelationalexpressions,hasobtainedtheinputaveragedelaytimeandthedelayvarianceexpression,inthisfoundution,proposedonemethodofdeterminationdelayfunctiontype.
简介:Althoughthegreyforecastingmodelhasbeensuccessfullyadoptedinvariousfieldsanddemonstratedpromisingresults,theliteraturesshowitsperformancecouldbefurtherimproved,suchasfortheDGM(1,1)model,basedonaconcavesequence,themodelingerrorwillbelarger.Inthispaper,firstlythedefinitionofsequenceconvexityisgivenout,anditisprovedthattheoutputsequenceofDGM(1,1)modelisaconvexsequence.Next,theresidualchangelawofDGM(1,1)modelbasedontheconcavesequenceisdiscussed,andthenon-equidistanceDGM(1,1)modelisproposed.Finally,byintroducingthesymmetrytransformation,aconcavesequenceistransformedintoaconvexsequence,calledthesymmetricsequenceoftheconcavesequence,andthenconstructthenon-equidistanceDGM(1,1)modelbasedontheconvexsequence.Theexampleresultsshowthatthenovelmethodismoreaccuratethanthedirectmodelingforaconcavesequence.