c ris p ) ▁inputs ▁are ▁first ▁transformed ▁into ▁f uz zy ▁sets ▁in ▁the ▁F uzz ifier ▁block ▁because ▁it ▁is ▁f uz zy ▁sets ▁and ▁not ▁numbers ▁that ▁activ ate ▁the ▁rules ▁which ▁are ▁described ▁in ▁terms ▁of ▁f uz zy ▁sets ▁and ▁not ▁numbers . ▁Three ▁kinds ▁of ▁f uzz ifiers ▁are ▁possible ▁in ▁an ▁interval ▁type - 2 ▁F LS . ▁When ▁measurements ▁are : ▁ ▁Per fect , ▁they ▁are ▁mode led ▁as ▁a ▁cr isp ▁set ; ▁▁▁ ▁No isy , ▁but ▁the ▁noise ▁is ▁station ary , ▁they ▁are ▁mode led ▁as ▁a ▁type - 1 ▁f uz zy ▁set ; ▁and , ▁ ▁No isy , ▁but ▁the ▁noise ▁is ▁non - station ary , ▁they ▁are ▁mode led ▁as ▁an ▁interval ▁type - 2 ▁f uz zy ▁set ▁( this ▁latter ▁kind ▁of ▁f uzz ification ▁cannot ▁be ▁done ▁in ▁a ▁type - 1 ▁F LS ). ▁ ▁In ▁Fig . ▁ 3 , ▁after ▁measurements ▁are ▁f uzz ified , ▁the ▁resulting ▁input ▁f uz zy ▁sets ▁are ▁mapped ▁into ▁f uz zy ▁output ▁sets ▁by ▁the ▁In ference ▁block . ▁This ▁is ▁accomplished ▁by ▁first ▁quant ifying ▁each ▁rule ▁using ▁f uz zy ▁set ▁theory , ▁and ▁by ▁then ▁using ▁the ▁mathematics ▁of ▁f uz zy ▁sets ▁to ▁establish ▁the ▁output ▁of ▁each ▁rule , ▁with ▁the ▁help ▁of ▁an ▁inference ▁mechanism . ▁If ▁there ▁are ▁M ▁rules ▁then ▁the ▁f uz zy ▁input ▁sets ▁to ▁the ▁In ference ▁block ▁will ▁activ