meaning of fuzzy computing

1. fuzzy computing fuzzy logic fuzzy logic A superset of Boolean logic dealing with the concept of partial truth -- truth values between "completely true" and "completely false". It was introduced by Dr. Lotfi Zadeh of UCB in the 1960s as a means to model the uncertainty of natural language. Any specific theory may be generalised from a discrete or "crisp" form to a continuous fuzzy form, e. g. "fuzzy calculus", "fuzzy differential equations" etc. Fuzzy logic replaces Boolean truth values with degrees of truth which are very similar to probabilities except that they need not sum to one. Instead of an assertion predX, meaning that X definitely has the property associated with predicate "pred", we have a truth function truthpredX which gives the degree of truth that X has that property. We can combine such values using the standard definitions of fuzzy logic: truthnot x = 1. 0 - truthx truthx and y = minimum truthx, truthy truthx or y = maximum truthx, truthy There are other possible definitions for "and" and "or", e. g. using sum and product. If truth values are restricted t 0 and 1 then these functions behave just like their Boolean counterparts. This is known as the "extension principle". Just as a Boolean predicate asserts that its argument definitely belongs to some subset of all objects, a fuzzy predicate gives the degree of truth with which its argument belongs to a fuzzy subset. Usenet newsgroup: news:comp. ai. fuzzy. E-mail servers: com>, bldrdoc. gov>, com>. ftp://ftp. hiof. no/pub/Fuzzy, ftp://ntia. its. bldrdoc. gov/pub/fuzzy. FAQ ftp://rtfm. mit. edu/pub/usenet-by-group/comp. answers/fuzzy-log 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].


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