简介：证明了双诱导映射下L-Fuzzy子格群的像与逆像仍为L-Fuzzy子格群,基于L-Fuzzy集的层次结构特征,研究L-Fuzzy子格群的同态,给出了它们的性质.

简介：对Fuzzy拓扑空间与经典拓扑空间的分离公理作了比较,讨论了Fuzzy拓扑空间的分离公理的一些基本性质;定义了Fuzzy拓扑空间的sober性,并讨论了其与其它分离公理的关系.

简介：文章定义了加强的弱L—fuzzyHausdorff空间。讨论了SRHausdorff空间与其他分离性的关系，给出了它的等价刻画，讨论了SRHausdorff分离性的一系列性质。证明了SRHausdorff分离性是可遗传的、弱同胚不变的、L—好的推广性质，并且具有可乘性。

简介：ThenotionofafuzzyretractwasintroducedbyRodabaugh(1981).Thenotionofafuzzypairwiseretractwasintroducedin2001.Someweakformsandsomestrongformsofα-continuousmappingswereintroducedin1988and1997.TheauthorsextendsomeoftheseformstotheL-fuzzybitopologicalsettingandconstructvariousα-fuzzypairwiseretracts.TheconceptofweaklyinducedspacesinthecaseL=[0,1]wasintroducedbyMartin(1980).LinandLuo(1987)generalizedthisnotiontothecasethatLisanarbitraryF-latticeandintroducedthenotionofinducedL-fts.Severalresultsareobtained,especially,forL-valuedpairwisestratificationspaces.

简介：文章引入了(L,M)-fuzzy层次拓扑空间范畴,讨论了它与L-fuzzy层次拓扑空间范畴的关系,证明了(L,M)-fuzzy层次拓扑空间范畴、(L,M)-fuzzy层次邻域空间范畴、(L,M)-fuzzy层次闭包空间范畴以及(L,M)-fuzzy层次内部空间范畴等均是等价的。

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.

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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：

简介：研究了Fuzzy相等、Fuzzy线性相关、Fuzzy基,获得了单个向量Fuzzy线性相关当且仅当它是'零向量',两个向量Fuzzy线性相关当且仅当它们'成比例'以及象'替换定理'等许多相类似的性质;并且讨论了线性变换在Fuzzy基下的矩阵,获得了线性变换的和、数乘对应着Fuzzy矩阵的和与数乘.

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：我们描述在模糊集合和代数学的亢奋的结构之间的关系。事实上，这篇论文是Davvaz介绍在的想法的继续(模糊集合Syst，117：477-484，2001)并且Bhakat和Das在(模糊集合Syst，80：359-368，1996)。有一个珍视间隔的模糊集合的模糊间隔价值的伪巧合的概念被介绍，这是在模糊集合的一个模糊的点的伪巧合的自然归纳。由使用这个新想法，这个概念珍视间隔(α，β)一个亢奋的模块的模糊sub-hypermodules被定义。这最新定义珍视间隔(α，模糊sub-hypermodule是的β)平常的模糊sub-hypermodule的归纳。我们将学习如此的模糊sub-hypermodules并且考虑一个亢奋的模块的基于含意的珍视间隔的模糊sub-hypermodules。

简介：Theanalytichierarchyprocess(AHP)isusedwidelyforanalyzingdecisionsmadeinvariousreal-worldapplications.Itsbasicideaistoconstructahierarchyofconceptsencounteredinagivendecisionproblemandtochoosethebestalternativeaccordingtopairwisecomparisonmatricesgivenbythedecisionmaker.Undertheassumptionoffullyrationaleconomics,areasonabledecisionshouldbeconsistent.Itbecomesanimportantissueonhowtoanalyzeandensuretheconsistencyofcomparisonmatricestogetherwiththejudgmentsofthedecisionmaker.Themainobjectivesofthepresentpaperarethreefold.First,wereviewthebasicideaandmethodsusedtodefinetheconsistencyandthetransitivityofmultiplicativereciprocalmatrices,additivereciprocalmatricesandcomparisonmatriceswithfuzzyintervalandtriangularfuzzynumbers.TheexistingcontroversybehindtheapplicationsoffuzzysettheorytotheAHPintheliteratureispresented.Second,theconsistencyofthecollectivecomparisonmatricesingroupdecisionmakingbasedonAHPandfuzzyAHPisfurtheranalyzed.WepointoutthattheweakconsistencyofpreferencerelationswithfuzzynumbersinfuzzyAHPandgroupdecisionmakingshouldbeinvestigatedcomprehensively.Third,undertheconsiderationofthevaguenessintheprocessofevaluatingthejudgements,anewconceptoffuzzyconsistencyofcomparisonmatricesintheAHPisgiven.

简介：Theinformationretrievalisoneofthecommonoperationsincomputerinformationsystems.Thispaperproposesakindofinformationretrievalmethodbasedonfuzzysettheory.

简介：Thispaperproposesanewneuralfuzzyinferencesystemthatmainlyconsistsoffourparts.Thefirstpartisabouthowtouseneuralnetworktoexpresstherelationwithinafuzzyrule.Thesecondpartisthesimplificationofthefirstpart,andexperimentsshowthatthesesimplificationswork.Onthecontrarytothesecondpart,thethirdpartistheenhancementofthefirstpartanditcanbeusedwhenthefirstpartcannotworkverywellinthefuzzyinferencealgorithm,whichwouldbeintroducedinthefourthpart.Finally,thefourthpart"neuralfuzzyinferencealgorithm"isbeenintroduced.Itcaninferencethenewmembershipfunctionoftheoutputbasedonpreviousfuzzyrules.Theaccuracyofthefuzzyinferencealgorithmisdependentonneuralnetworkgeneralizationability.Evenifthegeneralizationabilityoftheneuralnetworkweusedisgood,westillgetinaccurateresultssincethenewcomingrulemaynotberelatedtoanyofthepreviousrules.Experimentsshowthisalgorithmissuccessfulinsituationswhichsatisfytheseconditions.

简介：ThetypicalBDI(beliefdesireintention)modelofagentisnotefficientlycomputableandthestrictlogicexpressionisnoteasilyapplicabletotheAUV(autonomousunderwatervehicle)domainwithuncertainties.Inthispaper,anAUVfuzzyneuralBDImodelisproposed.Themodelisafuzzyneuralnetworkcomposedoffivelayers:input(beliefsanddesires),fuzzification,commitment,fuzzyintention,anddefuzzificationlayer.Inthemodel,thefuzzycommitmentrulesandneuralnetworkarecombinedtoformintentionsfrombeliefsanddesires.ThemodelisdemonstratedbysolvingPEG(pursuit-evasiongame),andthesimulationresultissatisfactory.