简介:LetamovingplaneMPoverafixedplaneFPoccupyfourdifferentpositions.Eachpairofsuchpositionsisassociatedwithacenterofrotationcalledpolesothatwehavea6-poleconfiguration.Asanillustrationofourgeneralmethodofmechanicaltheoremprovinganddiscovering,wediscussinthepresentpaperinsomederailscertaintheoremsconnectedwithsuchaconfiguration.
简介:SOMENEWCONSTRUCTIONSOFCARTESIANAUTHENTICATIONCODESFROMSYMPLECTICGEOMETRYYOUHong;GAOYou(NortheastNormalUniversity,Changchun130...
简介:Wefirstproposeaseriesofsimilaritymeasuresforintuitionisticfuzzyvalues(IFVs)basedontheintuitionisticfuzzyoperators(Atanassov1995).Theparametersintheproposedsimilaritymeasurescancontrolthedegreeofmembershipandthedegreeofnon-membershipofanIFV,whichcanreflectthedecisionmaker’sriskpreference.Moreover,wecanobtainsomeknownsimilaritymeasureswhensomefixedvaluesareassignedtotheparameters.Furthermore,weapplythesimilaritymeasurestoaggregateIFVsanddevelopsomeaggregationoperators,suchastheintuitionisticfuzzydependentaveragingoperatorandtheintuitionisticfuzzydependentgeometricoperator,whoseprominentcharacteristicisthattheassociatedweightsonlydependontheaggregatedintuitionisticfuzzyargumentsandcanrelievetheinfluenceofunfairargumentsontheaggregatedresults.Basedontheseaggregationoperators,wedevelopsomegroupdecisionmakingmethods,andfinallyextendourresultstointerval-valuedintuitionisticfuzzyenvironment.
简介:Thispaperproposesagroupdecisionmakingmethodbasedonentropyofneutrosophiclinguisticsetsandgeneralizedsinglevaluedneutrosophiclinguisticoperators.Thismethodisappliedtosolvethemultipleattributegroupdecisionmakingproblemsundersinglevaluedneutrosophicliguisticenvironment,inwhichtheattributeweightsarecompletelyunknown.First,theattributeweightsareobtainedbyusingtheentropyofneutrosophiclinguisticsets.Thenthreegeneralizedsinglevaluedneutrosophiclinguisticoperatorsareintroduced,includingthegeneralizedsinglevaluedneutrosophiclinguisticweightedaveraging(GSVNLWA)operator,thegeneralizedsinglevaluedneutrosophiclinguisticorderedweightedaveraging(GSVNLOWA)operatorandthegeneralizedsinglevaluedneutrosophiclinguistichybridaveraging(GSVNLHA)operator,andtheGSVNLWAandGSVNLHAoperatorsareusedtoaggregateinformation.Furthermore,similaritymeasurebasedonsinglevaluedneutrosophiclinguisticnumbersisdefinedandusedtosortthealternativesandobtainthebestalternative.Finally,anillustrativeexampleisgiventodemonstratethefeasibilityandeffectivenessofthedevelopedmethod.
简介:ConsiderasemiparametricregressionmodelwithlineartimeserieserrorsYk=x'kβ+g(tk)+εk,1≤k≤n,whereYk'sareresponses,xk=(xk1,xk2,…,xkp)'andtk∈T包含Rarefixeddesignpoints,β=(β1,β2,…,βp)'isanunknownparametervector,g(·)isanunknonwnboundedreal-valuedfunctiondefinedonacompactsubsetTofthereallineR,andεkisalinearprocessgivenbyεk=∑j=0^∞ψjek-j,ψ0=1,where∑j=0^∞|ψj|<∞,andej,j=0,±1,±2,…,arei.i.d.randomvariables.Inthispaperweestablishtheasymptoticnormalityoftheleastsquaresestimatorofβ,asmoothestimatorofg(·),andestimatorsoftheautocovarianceandautocorrelationfunctionsofthelinearprocessεk.