fuzzy logic
A sup ers et of ef="module.php?name=Lexikon&file=search&eid=1&query=Boolean logic">Boolean logic d ealing with th e conc ept of partial truth -- ef="module.php?name=Lexikon&file=search&eid=1&query=truth value">truth values b etw een "compl et ely tru e" and "compl et ely fals e". It was introduc ed by Dr. Lotfi Zad eh of ef="module.php?name=Lexikon&file=search&eid=1&query=UCB">UCB in th e 1960' s as a m eans to mod el th e unc ertainty of ef="module.php?name=Lexikon&file=search&eid=1&query=natural language">natural language. Any sp ecific th eory may b e g en eralis ed from a discr et e (or "crisp") form to a continuous (fuzzy) form, e.g. "fuzzy calculus", "fuzzy diff er ential equations" etc. Fuzzy logic r eplac es Bool ean truth valu es with d egr ees of truth which ar e v ery similar to probabiliti es exc ept that th ey n eed not sum to on e. Inst ead of an ass ertion pr ed(X), m eaning that X d efinit ely has th e prop erty associat ed with ef="module.php?name=Lexikon&file=search&eid=1&query=predicate">predicate "pr ed", w e hav e a truth function truth(pr ed(X)) which giv es th e d egr ee of truth that X has that prop erty. W e can combin e such valu es using th e standard d efinitions of fuzzy logic: truth(not x) = 1.0 - truth(x) truth(x and y) = minimum (truth(x), truth(y)) truth(x or y) = maximum (truth(x), truth(y)) (Th er e ar e oth er possibl e d efinitions for "and" and "or", e.g. using sum and product). If truth valu es ar e r estrict ed to 0 and 1 th en th es e functions b ehav e just lik e th eir Bool ean count erparts. This is known as th e " ext ension principl e". Just as a Bool ean pr edicat e ass erts that its argum ent d efinit ely b elongs to som e subs et of all obj ects, a fuzzy pr edicat e giv es th e d egr ee of truth with which its argum ent b elongs to a ef="module.php?name=Lexikon&file=search&eid=1&query=fuzzy subset">fuzzy subset. ef="module.php?name=Lexikon&file=search&eid=1&query=Usenet">Usenet n ewsgroup: ef="module.php?name=Lexikon&file=search&eid=1&query=news:comp.ai.fuzzy">news:comp.ai.fuzzy. e-mail s erv ers: et@aptronix.com>, , erver@til.com>. ef="ftp://ftp.hiof.no/pub/Fuzzy">, ef="ftp://ntia.its.bldrdoc.gov/pub/fuzzy">. {FAQ (ftp://rtfm.mit.edu/pub/usenet-by-group/comp.answers/fuzzy-logic)}. {James Brule, "Fuzzy systems - a tutorial", 1985 (http://life.anu.edu.au/complex_systems/fuzzy.html)}. {STB Software Catalog (http://krakatoa.jsc.nasa.gov/stb/catalog.html)}, includes a few fuzzy tools. [H.J. Zimmerman, "Fuzzy Sets, Decision Making and expert Systems", Kluwer, Dordrecht, 1987]. ["Fuzzy Logic, State of the Art", ed. R. Lowen, Marc Roubens, Theory and Decision Library, D: System theory, Knowledge engineering and Problem Solving 12, Kluwer, Dordrecht, 1993, ISBN 0-7923-2324-6]. (1995-02-21) e="border-width:thin; border-color:#333333; border-style:dashed; padding:5px;" align="left">In addition suitable contents: [ ef="module.php?name=Lexikon&op=content&tid=31">2 ] [ ef="module.php?name=Lexikon&op=content&tid=134">= ] [ ef="module.php?name=Lexikon&op=content&tid=135">@ ] [ ef="module.php?name=Lexikon&op=content&tid=262">ad ] [ ef="module.php?name=Lexikon&op=content&tid=396">ag ] [ ef="module.php?name=Lexikon&op=content&tid=411">ai ] [ ef="module.php?name=Lexikon&op=content&tid=433">al ] [ ef="module.php?name=Lexikon&op=content&tid=544">am ] [ ef="module.php?name=Lexikon&op=content&tid=592">an ] [ ef="module.php?name=Lexikon&op=content&tid=740">ar ] [ ef="module.php?name=Lexikon&op=content&tid=743">arc ] [ ef="module.php?name=Lexikon&op=content&tid=759">arg ] [ ef="module.php?name=Lexikon&op=content&tid=760">argument ] [ ef="module.php?name=Lexikon&op=content&tid=800">as ] [ ef="module.php?name=Lexikon&op=content&tid=856">assertion ] [ 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