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1、JournalofHydrology491(2013)1–12ContentslistsavailableatSciVerseScienceDirectJournalofHydrologyjournalhomepage:www.elsevier.com/locate/jhydrolApplicationofintervalclusteringapproachtowaterqualityevaluationa,⇑bH.Wong,B.Q.HuaDepartmentofAppliedMathematics,TheHongKongPolytechnicUnivers
2、ity,HongKongbSchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,ChinaarticleinfosummaryArticlehistory:Theextensionevaluationmethod(EEM)hasbeenappliedtoevaluatewaterquality.However,inreal-lifeReceived15September2011applications,sampledatamaybegivenasintervalsbecauseoferror
3、sproducedinmeasurement,poordataReceivedinrevisedform27December2012broughtbypoorinformation,andimprecisedatainducedbyhumanerrors.TodealwithdatasetintheAccepted10March2013formofanumberofintervals,theintervalextensionevaluationmethod(IEEM)hasbeenpreviouslyintro-Availableonline28March2
4、013duced.However,thecorrelativedegreesthatareobtainedfromIEEMmayyieldnegativenumbers.Ineval-ThismanuscriptwashandledbyLaurentCharlet,Editor-in-Chief,withtheassistanceuatingwaterqualityonegenerallyassignsranksorgradesthatarenon-negative.ThenitisexpectedthatofJoseDanielSalas,Associat
5、eEditorcorrelativedegreesmustbenon-negative.Thispaperprovidesanovelmethod,i.e.,theintervalclusteringapproach(ICA),whichisbasedonthegreyclusteringapproach(GCA)andinterval-valuedfuzzysets,toKeywords:overcomethisnegativityissue.Themethodalsointroducesthenotionofweightingsintheformofin
6、ter-Greyclusteringapproach(GCA)vals,bywhichintervalsamplescanbeanalyzedwithaviewtodelineatingtheimportantattributesviatheInterval-valuedfuzzysetintervalweights.Todemonstrateourproposedapproach,theICAisappliedtoevaluatethewaterqualityWaterqualityevaluation(WQE)ofthreedifferentcross-
7、sectionsoftheFenRiver,thesecondmajorbranchriveroftheYellowRiverinWaterqualityindex(WQI)China.Ourproposedmethodisausefultoolfortheanalysisofpoorlymeasureddata,poorlycollecteddataWaterqualitycriteriaandimprecisehydrologicaldatawhichareverycommonlyencounteredinwaterresearch.Inbrief,ou
8、rmethodisnovelforanalyzing
