Table Of ContentAdvances in Intelligent and
Soft Computing 107
Editor-in-Chief:J.Kacprzyk
Advancesin Intelligentand Soft Computing
Editor-in-Chief
Prof.JanuszKacprzyk
SystemsResearchInstitute
PolishAcademyofSciences
ul.Newelska6
01-447Warsaw
Poland
E-mail:kacprzyk@ibspan.waw.pl
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Vol.93.M.P.Rocha,J.M.Corchado, Vol.100.S.Li,X.Wang,Y.Okazaki,J.Kawabe,
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A.M.BernardosBarbolla(Eds.) S3T2011,2011
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SoftComputinginIndustrialApplications,2011
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andT.Walkowiak(Eds.)
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ISBN978-3-642-23755-3
T.Mroczek(Eds.)
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BackgroundsandApplications2,2011 AdvancesinComputerScience,IntelligentSystem
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ISBN978-3-642-23752-2
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T.Mroczek(Eds.) Vol.107.P.Melo-Pinto,P.Couto,C.Serôdio,
Human–ComputerSystemsInteraction: J.Fodor,andB.DeBaets(Eds.)
BackgroundsandApplications2,2011 Eurofuse2011,2011
ISBN978-3-642-23171-1 ISBN978-3-642-24000-3
Pedro Melo-Pinto, Pedro Couto,
Carlos Serôdio, János Fodor, and
Bernard De Baets (Eds.)
Eurofuse 2011
Workshop on Fuzzy Methods
for Knowledge-Based Systems
ABC
Editors
Prof.PedroMelo-Pinto Prof.JánosFodor
CITAB-UTADUniversity ÓbudaUniversity
QuintadosPrados Bécsiút96/B
5000-911VilaReal H-1034Budapest
Portugal Hungary
E-mail:pmelo@utad.pt E-mail:fodor@uni-obuda.hu
Prof.PedroCouto Prof.BernardDeBaets
CITAB-UTADUniversity KERMIT
QuintadosPrados ResearchUnitKnowledge-basedSystems
5000-911VilaReal UniversiteitGent
Portugal Coupurelinks653
E-mail:pcouto@utad.pt 9000Gent
Belgium
Prof.CarlosSerôdio E-mail:Bernard.Debaets@UGent.be
CITAB-UTADUniversity
QuintadosPrados
5000-911VilaReal
Portugal
E-mail:cserodio@utad.pt
ISBN978-3-642-24000-3 e-ISBN978-3-642-24001-0
DOI 10.1007/978-3-642-24001-0
AdvancesinIntelligentandSoftComputing ISSN1867-5662
LibraryofCongressControlNumber:2011936640
(cid:2)c 2011Springer-VerlagBerlinHeidelberg
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Preface
ThisbookcomprisesthepapersfromEUROFUSE2011WorkshoponFuzzyMeth-
odsforKnowledge-basedSystems.
EUROFUSEwasestablishedin1998astheEURO(theAssociationofEuropean
OperationalResearch Societies) Working Group on Fuzzy Sets, as a successor of
the former European Chapter of IFSA (the International Fuzzy Systems Associa-
tion). The working group is coordinated by Bernard De Baets (KERMIT, Ghent
University,Belgium)andJa´nosFodor(O´budaUniversity,Hungary).
EUROFUSE 2011 is the next in a series ofEUROFUSE workshops, including
the successfulEUROFUSE 1999(Budapest,Hungary),EUROFUSE 2000(Mons,
Belgium),EUROFUSE2001(Granada,Spain),EUROFUSE2002(Varenna,Italy),
EUROFUSE2004(Warsaw,Poland),EUROFUSE2005(Belgrade,Serbia),EURO-
FUSE2007(Jaen,Spain)andEUROFUSE2009(Pamplona,Spain).
The present edition is held in Re´gua, Portugal, in the World Heritage Site of
the Douro Wine Region and is organised by Pedro Melo-Pinto and Pedro Couto.
The theme of the workshop is Fuzzy Methods for Knowledge-based Systems. As
was the case for previous editions, the aim of the workshop is to bring together
researchersandpractitionersinaninformalatmosphere.Forthisreason,thenumber
ofparticipantsislimitedandallpresentationsareplenary.
EUROFUSE 2011 has three distinguished invited speakers: Francisco Herrera
(Granada,Spain),RadkoMesiar(Bratislava,Slovakia)andJose´LuisGarciaLapresta
(Valladolid,Spain).Nexttotheinvitedspeakers,thethreedayprogramconsistsof
37lectures.Intotal,thereare70participantsfrom10countries.Thiseditedvolume
contains the final revised manuscripts on the basis of which the program was put
together.
VI Preface
Wearegratefultotheinvitedspeakers,theauthorsandallreviewersforcontribut-
ingtothesuccessofthisworkshop.We alsowanttothankallthepeoplefromthe
organizingcommitteefortheinvaluablehelp,whichhelpedturningthisworkshop
intoasuccessfulone.
BernardDeBaets
Ja´nosFodor
PedroCouto
PedroMelo-Pinto
ThisconferencewaspartiallysupportedbyProgramOperacionalRegionaldoNorte
(ON.2)
Organisation
OrganisingCommitee
Chairmen Members
• B.deBaets • J.Matias
• J.Fodor • P.Mestre
• P.Melo-Pinto • R.Ribeiro
• P.Couto • C.Serodio
InvitedSpeakears
• Jose´LuisGarc´ıa-Lapresta
• FranciscoHerrera
• RadkoMesiar
VIII Organisation
Scientific Program Committee
E.Barrenechea(Spain) J.M.Ben´ıtez(Spain) U.Bodenhofer(Austria)
H.Bustince(Spain) J.Carvalho(Portugal) J.Chamorro(Spain)
F.Chiclana(UK) O.Cordo´n(Spain) C.Cornelis(Belgium)
I.Couso(Spain) P.Couto(Portugal) B.DeBaets(Belgium)
S.Diaz(Spain) J.Dombi(Hungary) D.Dubois(France)
P.Fazendeiro(Portugal) M.Fedrizzi(Italy) J.Fernandez(Spain)
J.Fodor(Hungary) J.L.Garcia-Lapresta(Spain) G.Georgescu(Romania)
D.Go´mez(Spain) M.Grabisch(France) F.Herrera(Spain)
E.Herrera-Viedma(Spain) E.Hu¨llermeier(Germany) J.Kacprzyk(Poland)
E.Kerre(Belgium) E.P.Klement(Austria) A.Kolesa´rova´(SlovakRepublic)
J.Liu(UK) V.Loia(Italy) L.Mart´ınez(Spain)
G.Mayor(Spain) P.Melo-Pinto(Portugal) R.Mesiar(SlovakRepublic)
J.Montero(Spain) S.Montes(Spain) E.Montseny(Spain)
J.A.Olivas(Spain) V.Oliveira(Portugal) M.Pagola(Spain)
E.Pap(Serbia) I.Perfilieva(CzechRepublic) H.Prade(France)
DaRuan(Belgium) P.Salgado(Portugal) D.Sa´nchez(Spain)
P.Sobrevilla(Spain) E.Szmidt(Poland) V.Torra(Spain)
J.Torrens(Spain) J.L.Verdegay(Spain)
Contents
Invited Talks 1
OntheUsefulnessofIntervalValuedFuzzySetsforLearningFuzzy
RuleBasedClassificationSystems................................. 3
FranciscoHerrera
UsingAggregationFunctionsforMeasuringSocialInequalityand
Poverty ....................................................... 5
Jose´ LuisGarc´ıa-Lapresta
FuzzyIntegralsasaToolforMulticriteriaDecisionSupport .......... 9
RadkoMesiar
PartI:Theory 17
APossibilisticLogicViewofSugenoIntegrals....................... 19
DidierDubois,HenriPrade,Agne`sRico
DecompositionofPossibilisticBeliefFunctionsintoSimpleSupport
Functions ..................................................... 31
MatthieuChemin,Agne`sRico,HenriPrade
GeneralizedAttanasov’sOperatorsDefinedonLatticeIntervals ....... 43
I.Lizasoain,C.Moreno
Modalities..................................................... 53
Jo´zsefDombi
OnthePropertiesofProbabilisticImplications...................... 67
PrzemysławGrzegorzewski
X Contents
RobustnessofN-DualFuzzyConnectives........................... 79
RenataHaxSanderReiser,Benjam´ınRene´ CallejasBedregal
TransitivityandNegativeTransitivityintheFuzzySetting ............ 91
SusanaD´ıaz,BernardDeBaets,SusanaMontes
PartII:AggregationOperators 101
A CharacterizationTheoremfort-Representablen-Dimensional
TriangularNorms .............................................. 103
Benjam´ınBedregal,GlebBeliakov,HumbertoBustince,TomasaCalvo,
JavierFerna´ndez,RadkoMesiar
A ConstructionMethodofAggregationsFunctionsonthe Set of
DiscreteFuzzyNumbers......................................... 113
J.VicenteRiera,J.Torrens
DefiningAggregationFunctionsfromNegations..................... 125
I.Aguilo´,J.Sun˜er,J.Torrens
DiscreteKernelAggregationFunctions ............................ 137
M.Mas,M.Monserrat,J.Torrens
OnaGeneralizationoftheNotionofaSurvivalCopula............... 147
B.DeBaets,H.DeMeyer,R.Mesiar
One-VerticalGeneratedImplications ............................. 157
S.Massanet,J.Torrens
Some Propertiesof Consistency in the Families of Aggregation
Operators..................................................... 169
KarinaRojas,DanielGo´mez,J.TinguaroRodr´ıguez,JavierMontero
PartIII:KnowledgeExtraction 177
Fuzzy Ontologies to Represent Background Knowledge. Some
ExperimentalResultsonModellingClimateChangeKnowledge ....... 179
Emilio Fdez-Vin˜as, Mateus Ferreira-Satler, Francisco P. Romero,
JesusSerrano-Guerrero,JoseA.Olivas,NataliaSaavedra
OntheSemanticsofBipolarityandFuzziness....................... 193
J.TinguaroRodr´ıguez,CamiloA.Franco,JavierMontero