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重庆邮电大学学报(自然科学版) 2008
A game theoretic perspective on rough set analysisKeywords: game,theory,rough,set,analysis,decision,theoretical,rough,sets,probabilistic,rough,sets Abstract: Determiningthecorrectthresholdvaluesfortheprobabilisticroughsetapproacheshasbeenaheatedissueamongthecommunity.Existingtechniquesoffernowayinguaranteeingthatthecalculatedvaluesoptimizetheclassificationabilityofthedecisionrulesderivedfromthisconfiguration.Thisarticlewillformulateagametheoreticapproachtocalculatingthesethresholdstoensurecorrectapproximationregionsize.Usingpayofftablescreatedfromapproximationmeasuresandmodifiedconditionalriskstrategies,weprovidetheuserwithtolerancelevelsfortheirlossfunctions.Usingthetolerancevalues,newthresholdsarecalculatedtoprovidecorrectclassificationregions.Thiswillaidindeterminingasetofoptimalregionthresholdvaluesfordecisionmaking.
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