简介:Forill-posedbilevelprogrammingproblem,theoptimisticsolutionisalwaysthebestdecisionfortheupperlevelbutitisnotalwaysthebestchoiceforbothlevelsiftheauthorsconsiderthemodel'ssatisfactorydegreeinapplication.Toacquireamoresatisfyingsolutionthantheoptimisticonetorealizethetwolevels'mostprofits,thispaperconsidersbothlevels'satisfactorydegreeandconstructsaminimizationproblemofthetwoobjectivefunctionsbyweightedsummation.Then,usingthedualitygapofthelowerlevelasthepenaltyfunction,theauthorstransferthesetwolevelsproblemtoasingleoneandproposeacorrespondingalgorithm.Finally,theauthorsgiveanexampletoshowamoresatisfyingsolutionthantheoptimisticsolutioncanbeachievedbythisalgorithm.
简介:Inthispaper,atwo-scalefiniteelementapproachisproposedandanalyzedforapproximationsofGreen'sfunctioninthree-dimensions.Thisapproachisbasedonatwo-scalefiniteelementspacedefined,respectively,onthewholedomainwithsizeHandonsomesubdomaincontainingsingularpointswithsizeh(h<
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简介:ThisnotepointsoutstheinappropriatenessofanaccuracyfunctionintroducedbyYe[Ye,J.(2009).Multicriteriafuzzydecision-makingmethodbasedonanovelaccuracyfunctionunderinterval-valuedintuitionisticfuzzyenvironment.ExpertSystemswithApplications,36(3):6899-6902]anditsmisleadinguseforcomparingtwointerval-valuedintuitionisticfuzzynumbers.