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1、LINZth29LinzSeminaronFuzzySetTheory2008FoundationsofLattice-ValuedMathematicswithApplicationstoAlgebraandTopologyBildungszentrumSt.Magdalena,Linz,AustriaFebruary12–16,2008AbstractsErichPeterKlementStephenE.RodabaughLawrenceN.StoutEditorsLINZ2008—FOUNDATIONSOFLATTICE-VALUEDMATHEMATICSWITH
2、APPLICATIONSTOALGEBRAANDTOPOLOGYABSTRACTSErichPeterKlement,StephenE.Rodabaugh,LawrenceN.StoutEditorsPrintedby:Universitatsdirektion,JohannesKeplerUniversit¨at,A-4040Linz¨2Sincetheirinceptionin1979theLinzSeminarsonFuzzySetshaveemphasizedthedevelopmentofmathematicalaspectsoffuzzysetsbybrin
3、gingtogetherresearchersinfuzzysetsandestablishedmathematicianswhoseworkoutsidethefuzzysettingcanprovidedirectionforfurtherresearch.Theseminarisdeliberatelykeptsmallandintimatesothatinformalcriticaldiscussionremainscentral.Therearenoparallelsessionsandduringtheweekthereareseveralroundtabl
4、estodiscussopenprob-lemsandpromisingdirectionsforfurtherwork.LINZ2008willbethe29thseminarcarryingonthistraditionandisdevotedtothetheme“Foun-dationsofLattice-ValuedMathematicswithApplicationstoAlgebraandTopology”.Thelastdecadehaswitnessedasignificantdevelopmentofthecategorical,logical,ando
5、rder-theoreticfoundationsoflattice-valuedmathematicsandtheirimpactonalgebraandtopology.Thesedevelopmentshavecreatedorsignificantlystrengthenedbridgesbetweenlattice-valuedmathematics,logic,sheaves,al-gebraictheories,quantalesandorder-theoreticstructures,varioussubdisciplinesoftopology,andt
6、he-oreticalcomputerscience.Thepurposeofthe29thSeminaristodiscussthesynergybetweenthesefieldsaswellasidentifyimportantopenquestions.ErichPeterKlementStephenE.RodabaughLawrenceN.Stout34ProgramCommitteeStephenE.Rodabaugh(Chairman),Youngstown,OH,USALawrenceN.Stout(Chairman),Bloomington,IL,USA
7、UlrichBodenhofer,Hagenberg,AustriaDanButnariu,Haifa,IsraelBernardDeBaets,Gent,BelgiumDidierDubois,Toulouse,FranceJanosFodor,´Budapest,HungaryLluisGodo,Barcelona,SpainSiegfriedGottwald,Leipzig,GermanyPetrHajek,´Praha,CzechRepublicUlrichHohle,¨Wuppertal,GermanyErichPeterKle
