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单词 fuzzy logic
释义

fuzzy logic


fuzzy logic

n. A form of algebra employing a range of values from "true" to "false" that is used in decision-making with imprecise data, as in artificial intelligence systems.

fuzzy logic

n (Logic) a branch of logic designed to allow degrees of imprecision in reasoning and knowledge, typified by terms such as 'very', 'quite possibly', and 'unlikely', to be represented in such a way that the information can be processed by computer

fuzz′y log′ic


n. the theory of a mathematical set (fuzz′y set′) having the property that each of its members is described in terms of a number, with a value in the range from 0 to 1, that indicates the degree on a spectrum of values to which the member belongs to the set. [1960–65]

fuzzy logic

A system of rules governing a decision making process in which propositions may be assigned degrees of truthfulness rather than a simple true or false value.
Thesaurus
Noun1.fuzzy logic - a form of mathematical logic in which truth can assume a continuum of values between 0 and 1formal logic, mathematical logic, symbolic logic - any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity
Translations
logica euristica

fuzzy logic


fuzzy logic,

a multivalued (as opposed to binary) logiclogic,
the systematic study of valid inference. A distinction is drawn between logical validity and truth. Validity merely refers to formal properties of the process of inference.
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 developed to deal with imprecise or vague data. Classical logic holds that everything can be expressed in binary terms: 0 or 1, black or white, yes or no; in terms of Boolean algebraBoolean algebra
, an abstract mathematical system primarily used in computer science and in expressing the relationships between sets (groups of objects or concepts). The notational system was developed by the English mathematician George Boole c.
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, everything is in one set or another but not in both. Fuzzy logic allows for partial membership in a set, values between 0 and 1, shades of gray, and maybe—it introduces the concept of the "fuzzy set." When the approximate reasoning of fuzzy logic is used with an expert systemexpert system,
a computer system or program that uses artificial intelligence techniques to solve problems that ordinarily require a knowledgeable human. The method used to construct such systems, knowledge engineering, extracts a set of rules and data from an expert or experts
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, logical inferences can be drawn from imprecise relationships. Fuzzy logic theory was developed by Lofti A. Zadeh at the Univ. of California in the mid 1960s. However, it was not applied commercially until 1987 when the Matsushita Industrial Electric Co. used it in a shower head that controlled water temperature. Fuzzy logic is now used to optimize automatically the wash cycle of a washing machine by sensing the load size, fabric mix, and quantity of detergent and has applications in the control of passenger elevators, household appliances, cameras, automobile subsystems, and smart weaponssmart weapon,
missile or steerable bomb equipped with a laser, television, or satellite guidance system. Smart weapons, which use guidance systems that rely on external assistance, are distinguished from brilliant weapons, which are totally self-guided.
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.

Bibliography

See L. A. Zadeh, Fuzzy Logic for the Management of Uncertainty (1992); D. McNeill and P. Freiberger, Fuzzy Logic (1993); B. Kosko, Fuzzy Thinking: The New Science of Fuzzy Logic (1993); R. R. Yager and D. P. Filey, Essentials of Fuzzy Modeling and Control (1995).

fuzzy logic

[¦fəz·ē ′läj·ik] (mathematics) The logic of approximate reasoning, bearing the same relation to approximate reasoning that two-valued logic does to precise reasoning.

fuzzy logic

A superset of Boolean logic dealing with the concept ofpartial truth -- truth values between "completely true" and"completely false". It was introduced by Dr. Lotfi Zadeh ofUCB in the 1960's as a means to model the uncertainty ofnatural language.

Any specific theory may be generalised from a discrete (or"crisp") form to a continuous (fuzzy) form, e.g. "fuzzycalculus", "fuzzy differential equations" etc. Fuzzy logicreplaces Boolean truth values with degrees of truth which arevery similar to probabilities except that they need not sum toone. Instead of an assertion pred(X), meaning that Xdefinitely has the property associated with predicate"pred", we have a truth function truth(pred(X)) which givesthe degree of truth that X has that property. We can combinesuch values using the standard definitions 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))

(There are other possible definitions for "and" and "or",e.g. using sum and product). If truth values are restricted to0 and 1 then these functions behave just like their Booleancounterparts. This is known as the "extension principle".

Just as a Boolean predicate asserts that its argumentdefinitely belongs to some subset of all objects, a fuzzypredicate gives the degree of truth with which its argumentbelongs to a fuzzy subset.

Usenet newsgroup: news:comp.ai.fuzzy.

E-mail servers: ,, .

ftp://ftp.hiof.no/pub/Fuzzy,ftp://ntia.its.bldrdoc.gov/pub/fuzzy.

FAQ.

James Brule, "Fuzzy systems - a tutorial", 1985.

STB Software Catalog, includes afew fuzzy tools.

[H.J. Zimmerman, "Fuzzy Sets, Decision Making and ExpertSystems", Kluwer, Dordrecht, 1987].

["Fuzzy Logic, State of the Art", Ed. R. Lowen, Marc Roubens,Theory and Decision Library, D: System theory, KnowledgeEngineering and Problem Solving 12, Kluwer, Dordrecht, 1993,ISBN 0-7923-2324-6].

fuzzy logic

A mathematical technique for dealing with imprecise data and problems that have many solutions rather than one. Although it is implemented in digital computers which ultimately make only yes-no decisions, fuzzy logic works with ranges of values, solving problems in a way that more resembles human logic.

Fuzzy logic is used for solving problems with expert systems and real-time systems that must react to an imperfect environment of highly variable, volatile or unpredictable conditions. It "smoothes the edges" so to speak, circumventing abrupt changes in operation that could result from relying on traditional either-or and all-or-nothing logic.

A Matter of Degree
The concept was conceived in 1964 by Lotfi Zadeh, former chairman of the electrical engineering and computer science department at the University of California at Berkeley, while he was contemplating how to program software for handwriting recognition. Zadeh expanded on traditional set theory by making membership in a set a matter of degree rather than a yes-no situation. See set theory.

Fuzzy Logic


Fuzzy Logic

A system which mathematically models complex relationships which are usually handled in a vague manner by language. Under the title of "Fuzzy Logic" falls formal fuzzy logic (a multi-valued form of logic), and fuzzy sets. Fuzzy sets measure the similarity between an object and a group of objects. A member of a fuzzy set can belong to both the set, and its complement. Fuzzy sets can more closely approximate human reasoning than traditional "crisp" sets. See: Crisp sets.

Fuzzy Logic

A form of logic programmed into some computers to allow them to use probability. That is, fuzzy logic allows computers to deal with uncertainty and to make decisions based on the information available. Unlike pure logic, which requires certainty, fuzzy logic helps computers make decisions the way humans do, only faster. This can be important in some investment strategies, such as arbitrage, that require decisions to be made very quickly.
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