lotfi zadeh gzrdaeecsberkeleyedu dear sectarian conflict iraq civil war torture practiced guantanamo pornography reasonable doubt everyday instances question draw line someone pointed us constitution invitation argumentation draw line obviousand yet universally recognizedis problem arises fuzzy concept concept matter degree treated binary concept shades gray problem arises gray level image converted black white image rational way deciding draw line one alternative draw line example case civil warwhich fuzzy conceptwhy treat binary concept would much reasonable construct graduated scale like richter scale earthquakes scale designed committee experts would greatly reduce intensity arguments civil war one reason another line must drawn reasonable approach may constructing voting model specifically c fuzzy concept question grade membership instance x c would based result voting grade membership x c equated fraction positive votes line would drawn instance whose grade membership 05 alternatively line could set median mean generally abstention allowed dividing line becomes fuzzy grade membership x dividing line equated fraction abstentions perspective fuzzy dividing line positive negative components c may viewed intuitionistic fuzzy set sense atanassov answer dubois gottwald p hajek j kacprzyk h prades paper terminological difficulties fuzzy set theory case intuitionistic fuzzy sets fuzzy sets systems 156 3 496499 2005 fuzzy dividing line may visualized line drawn spray pena miniature spray paint canrather ballpoint pen note tried segment human body body parts eg head neck shoulders arms etc would much reasonable spray pen ballpoint pen binarization deeply entrenched tradition culture particular position centrality law someone point discussion problem literature especially literature applications ai legal reasoning regards lotfi lotfi zadeh professor graduate school director berkeley initiative soft computing bisc thu 07 aug 2008 072728 0800 uai draw linethe problem binarization