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Rough Set Processing Model for Fuzzy Decision Tables with Weights.pdf
JOURNALOFELECTRONICSCIENCEANDTECHNOLOGY,VOL.9,NO.2,JUNE2011 133
RoughSetProcessingM odelforFuzzyDecision
TableswithW eights
Hao—D·ongZhuandHong-·ChanLi
Abstrac}—-1heclassicalroughsetcan notshow the Section4providesarelevantattributereductionalgorihtm.
fuzzinessand theimportanceofobjectsin decision Section5verifiesthenew roughsetmodelandtherelevant
procedurebecauseitusesdefiniteform toexpresseach attribute reduction algorithm. Finally, the relevant
object.Inordertosolvethisproblem,thispaperfirstly conclusionsaregiven.
introducesaspecialdecisiontableinwhicheachobject
hasamembershipdegreetoshow itsfuzzinessandhas 2.SpecialDecisionTable
been assigned a weight to show its importance in
Definition J. In special decision table
decision procedure.Then,thespecialdecision tableis
studiedandtherelevantroughsetmodelisprovided.In SDT=(U,C,D,V,f,/l,W),U={uIu2,…,u}stands
themeantime,relevantdefinitionsand theoremsare foralimitednonemptyobjectset,andeachobjectis
proposed.On theabovebasis,an attribute reduction assignedamembershipdegreeandaweighttorepresentits
algorithm ispresented.Finally,feasibilityoftherelevant fuzziness and its importance in decision process.
roughsetmodelandthepresentedattributereduction C={c,,c2,…,cm} is the conditional attribute set.
algorithm areverifiedbyauexample. D={ isthedecisionattributewithmembershipdegree.
/ndex TermsAttribute reduction,decision table, V= U isthesetofattributesvalues. isthe
re(CUD)
membershipdegree,roughset.
valueofattributer.-厂:U×R V isamapping
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