简介:较为详细讨论了伪拟Fuzzy商群的同态同构关系,获得一些有趣的结果.
简介:ToimprovethecurrentGISfunctionsindescribinggeographicobjectswithfuzziness,thispaperbeginswithadiscussiononthedistancemeasureofspatialobjectsbasedonthetheoryofsetsandanintroductionofdilationanderosionoperators.Undertheassumptionthatchangesofattributesinageographicregionaregradual,theanalyticexpressionsforthefuzzyobjectsofpoints,linesandareas,andthedescriptionoftheirformalstructuresarepresented.Theanalyticmodelofgeographicobjectsbymeansoffuzzyfieldsisdeveloped.Wehaveshownthatthe9-intersectionmodelproposedbyEgenhoferandFranzosa(1991)isaspecialcaseofthemodelpresentedinthepaper.
简介:Thispaperpresentsanewfuzzymultiplecriteria(bothqualitativeandquantitative)decision-making(MCDM)methodbasedonfuzzyrelationaldegreeanalysis.Theconceptsoffuzzysettheoryareusedtoconstructaweightedsuitabilitydecisionmatrixtoevaluatetheweightedsuitabilityofdifferentalternativesversusvariouscriteria.Thepositiveidealsolutionandnegativeidealsolutionarethenobtainedbyusingamethodofrankingfuzzynumbers,andthefuzzyrelationaldegreesofdifferentalternativesversuspositiveidealsolutionandnegativeidealsolutionarecalculatedbyusingtheproposedarithmetic.Finally,therelativerelationaldegreesofvariousalternativesversuspositiveidealsolutionarerankedtodeterminethebestalternative.Anumericalexampleisprovidedtoillustratetheproposedmethodattheendofthispaper.
简介:Aneuro-fuzzysystemmodelbasedonautomaticfuzzyclusteringisproposed.Ahybridmodelidentificationalgorithmisalsodevelopedtodecidethemodelstructureandmodelparameters.Thealgorithmmainlyincludesthreeparts:1)AutomaticfuzzyC-means(AFCM),whichisappliedtogeneratefuzzyrulesautomatically,andthenfixonthesizeoftheneuro-fuzzynetwork,bywhichthecomplexityofsystemdesignisreducesdgreatlyatthepriceofthefittingcapability;2)Recursiveleastsquareestimation(RLSE).ItisusedtoupdatetheparametersofTakagi-Sugenomodel,whichisemployedtodescribethebehaviorofthesystem;3)Gradientdescentalgorithmisalsoproposedforthefuzzyvaluesaccordingtothebackpropagationalgorithmofneuralnetwork.Finally,modelingthedynamicalequationofthetwo-linkmanipulatorwiththeproposedapproachisillustratedtovalidatethefeasibilityofthemethod.
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简介:Syllogisticfuzzyreasoningisintroducedintofuzzysystem,andthenewCascadedFuzzySystem(CFS)ispresented.ThethoroughlytheoreticalanalysisandexperimentalresultsshowthatsyllogisticfuzzyreasoningismorerobustthanallotherimplicationinferencesfornoisedataandthatCFShasbetterrobustnessthanconventionalfuzzysystems,whichprovidethesolidfoundationforCFS'spotentialapplicationinfuzzycontrolandmodelingandsoon.
简介:ThenotionsoffuzzydotidealsandfuzzydotH-idealsinBCH-algebrasareintro-duced,severalappropriateexamplesareprovided,andtheirsomepropertiesareinvestigated.Therelationsamongfuzzyideal,fuzzyH-ideal,fuzzydotidealandfuzzydotH-idealsinBCH-algebrasarediscussed,severalequivalentdepictionsoffuzzydotidealareobtained.Howtodealwiththehomomorphicimageandinverseimageoffuzzydotideals(fuzzydotH-ideals)arestudied.Therelationsbetweenafuzzydotideal(fuzzydotH-ideal)inBCH-algebrasandafuzzydotideal(fuzzydotH-ideal)intheproductalgebraofBCH-algebrasaregiven.
简介:Inthispaper,wegiveanorder-preserving,isometricandisomorphicembeddingoperatorfromthefuzzynumberspaceE~1toaclassicalBanachspaceandshowsomenecessaryandsufficientintegrabilityconditionsoffuzzyintegralswhichweredefinedbyM.MatlokaandO.Kalevabymeansofsuchanoperator.
简介:深夜两点钟。看起来,整个小区好像全都沉浸在酣睡中,极其安静,其实不然。你可以看到偶尔还有两三家人家的窗户透出淡淡的光亮,这种亮度说明室内并未开大灯,而只是开着并不刺眼的床头台灯,或者是低度数的长明小夜灯,或者,这只是电视机发出的光亮。是的,这些人家的电视机都开着。北京时间今天夜里两点十分,中央电视台现场直播一场顶级的欧洲足球比赛。近十个小时的时差,让可怜的中国球迷熬红了眼,非得半夜三更挑灯夜战。有句俗话是怎么说的?“宁可三岁死娘,不肯半夜起床。”阿魏想到这句俗话,不由得轻轻叹息了一句:“半夜起床,作孽啊。惨无人道的欧洲人。”