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Covering-Based Soft Rough Sets.pdf
1l8 JOURNALOFELECTRONIC SCIENCEAND TECHNOLOGY,VOL.9,N0.2,JUNE2011
Covering-B·asedSoftRoughSets
Jian-GuoTang,KunShe,andYu—QiWang
AbstractCovering—based rough setsprocess data extended to be tolerance relationt2 and similarity
relation[】14【】
organizedbyacoveringoftheuniverse.A softsetisa . From theotherperspective.thepartitionofthe
universeisextendedtobeacovering[116【】
parameterized family ofsubsetsoftheuniverse.Both .
theoriescandealwiththeuncertaintiesofdata.Softsets Covering.basedroughset【16[】isanimportantextension
havenotanyrestrictionsontheapproximatedescription ofroughsets.Comparedwithrough sets,itoftengivesa
oftheobject,andtheymightform acoveringofthe morereasonabledescriptiontoasubsetoftheuniverse.In
universe.From thisviewpoint,weestablishaconnection recentyears,covering—basedroughsettheoryhasattracted
moreandmoreattentions.TheworksofZhueta1.[H I1are
between thesewt o theories.Specifically,weproposea
complementaryparameterofrthispurpose.W ith this fundamentalandsignificant.Specifically,hteyproposedthe
parameter,the soft covering approximation space is concept of the reducible element to solve several
established and the wt o theories are bridged. problemsin covering-basedrough sets.Andthisconcept
hasbeenadoptedbvnumerousresearchers[12】-【们
Furthermore,we study some relafions between the .
coveringandthesoftcoveringapproximation spaceand SOftsettheoryisalso
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