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Rough Set Theory Pdf Free

rough set theory pdf free

 

Rough Set Theory Pdf Free > http://bit.ly/2ogcEfz

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Rough Set Theory Pdf Free

 

19d25c4272

ISBN0-7923-1472-7Set,,X,,{displaystyle,,X},,depends,,on,,a,,set,,T,,{displaystyle,,T},,of,,attribute-value,,pairs,,t,,=,,(,,a,,,,,v,,),,{displaystyle,,t=(a,v)},,if,,and,,only,,ifThe,,relationship,,of,,this,,notion,,of,,attribute,,dependency,,to,,more,,traditional,,information-theoretic,,(i.e.,,,entropic),,notions,,of,,attribute,,dependence,,has,,been,,discussed,,in,,a,,number,,of,,sources,,(e.g.,,,Pawlak,,,Wong,,,&,,Ziarko,,1988;,,Yao,,&,,Yao,,2002;,,Wong,,,Ziarko,,,&,,Ye,,1986,,,Quafafou,,&,,Boussouf,,2000)The,items,within,each,cell,are,aggregated,disjunctively,,and,the,individuals,cells,are,then,aggregated,conjunctivelyObjective,,,analysis[edit]Each,,,statement,,,here,,,is,,,essentially,,,a,,,highly,,,specific,,,(probably,,,too,,,specific),,,rule,,,governing,,,the,,,membership,,,in,,,class,,,P,,,4,,,=,,,1,,,{displaystyle,,,P{4}=1},,,of,,,the,,,corresponding,,,object

 

IEEE,,Transactions,,on,,Fuzzy,,Systems,,,23(6):,,1958-1970,,Chen,,H.,,,Li,,T.,,,Luo,,C.,,,Horng,,S-J.,,,Wang,,GThat,,is,,,the,,accuracy,,of,,the,,rough,,set,,representation,,of,,X,,{displaystyle,,X},,,,,α,,P,,(,,X,,),,{displaystyle,,alpha,,,,,,8(X)},,,,,0,,≤,,α,,P,,(,,X,,),,≤,,1,,{displaystyle,,0leq,,alpha,,,,,,6(X)leq,,1},,,,,is,,the,,ratio,,of,,the,,number,,of,,objects,,which,,can,,positively,,be,,placed,,in,,X,,{displaystyle,,X},,to,,the,,number,,of,,objects,,that,,can,,possibly,,be,,placed,,in,,X,,{displaystyle,,X},,,,this,,provides,,a,,measure,,of,,how,,closely,,the,,rough,,set,,is,,approximating,,the,,target,,setIncomplete,data[edit]This,leads,to,three-way,decision,making,approach,with,the,model,which,can,potentially,lead,to,interesting,future,applicationsCookies,are,required,to,use,this,siteThis,can,be,interpreted,as,a,degree,that,x,{displaystyle,x},belongs,to,X,{displaystyle,X},in,terms,of,information,about,x,{displaystyle,x},expressed,by,R,{displaystyle,textstyle,mathbb,{R},},"Rough,sets:,Mathematical,foundations"This,means,that,on,attribute,set,P,{displaystyle,P},,,there,are,objects,which,we,can,be,certain,belong,to,target,set,X,{displaystyle,X},,,but,there,are,no,objects,which,we,can,definitively,exclude,from,set,X,{displaystyle,X},Institute,,of,,computer,,science{,,,{,,,O,,,1,,,,,,,O,,,2,,,},,,{,,,O,,,3,,,,,,,O,,,5,,,,,,,O,,,7,,,,,,,O,,,9,,,,,,,O,,,10,,,},,,{,,,O,,,4,,,,,,,O,,,6,,,,,,,O,,,8,,,},,,{displaystyle,,,{begin,,,,,,9,,,,,,8,O,,,,,,7},,,,,,6,O,,,,,,5,O,,,,,,4,O,,,,,,3,O,,,,,,2},,,,,,1,O,,,,,,0,O,,,,,,9}end,,,,,,8}},,,

 

More,recent,adaptations,of,rough,set,theory,,such,as,dominance-based,,decision-theoretic,and,fuzzy,rough,sets,,have,introduced,more,subjectivity,to,the,analysisThe,,,rough,,,membership,,,function,,,expresses,,,a,,,conditional,,,probability,,,that,,,x,,,{displaystyle,,,x},,,belongs,,,to,,,X,,,{displaystyle,,,X},,,given,,,R,,,{displaystyle,,,textstyle,,,mathbb,,,{R},,,},,,35:,643652Charlotte,,,NC,,,USA,,,Meng,,,D.,,,Zhang,,,Xand,,,Nair,,,,L

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