jonathan lawry asuwexbristolacuk dear lotfi thanks interesting thought provoking posting view issue drawing boundaries fuzzy concepts fundamental importance understanding use concepts natural language particular would make following observation part everyday communication must continually make decisions assert typically involves choosing one label expression potentially relevant expressions decision often binary one ie either choose assert something dont interesting question base decisions strongly suspect assertion decisions based large extent conventions natural language experienced individual speaker words speaker makes judgments labels thinks appropriate describe particular object scenario basis past experience assertions individuals similar situations recent work attempted model notion appropriateness terms appropriateness measures agents subjective degree belief particular label appropriate describe particular example see instance jonathan lawry framework linguistic modelling artificial intelligencevolume 155 139 june 2004 recent book jonathan lawry modelling reasoning vague concepts springer 2006 also interesting work assertability alice kyburg kyburg vague sentences inform model assertability synthese 124175192 2000 appropriateness measures could potentially elicited means voting model described post agent asked identify labels given set terms appropriate describe particular example interesting issue arises voting model interpretations fuzzy sets general calculus arise words consider voting behaviour compound fuzzy expressions combination operators ie tnorms tconorms consistent considered issue appropriateness measures also general voting model following work jonathan lawry voting mechanism fuzzy logic international journal approximate reasoning vol 19 34 315333 1998 jonathan lawry van nam huynh possible worlds interpretation labels semantics information processing management uncertainty ipmu 06 july 2006 certainly right voters allowed abstain imprecise model arises although calculus model would also need investigated voting model perspective reference example concept civil war suspect always difficult avoid subjective judgments appropriateness term depends guess fundamentally scale war deaths population involved etc motivation background involved fighting complicate matters suspect strong historical perspective use terms example american civil war south perhaps would war independence reason wonder quantitative measure like richter scale realistic case kind regards jonathan lawry 22 january 2007 1524 0800 lotfi zadeh wrote 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 anassov053 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 uai mailing list lotfi zadeh professor graduate school computer science division department electrical engineering computer sciences university california berkeley ca 94720 1776 director berkeley initiative soft computing bisc address computer science division university california berkeley ca 947201776 gzrdacsberkeleyedu teloffice 510 6424959 fax office 510 6421712 telhome 510 5262569 fax home 510 5262433 httpwwwcsberkeleyeduzadeh bisc homepage urls url httpwwwbisccsberkeley url httpzadehcsberkeleyedu thu 07 aug 2008 165918 0000 uai draw linethe problem binarization