Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Fuzzy Logic |
Fuzzy LogicNoun1. A form of mathematical logic in which truth can assume a continuum of values between 0 and 1. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
| Domain | Definition |
Computing | 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 1960's 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 pred(X), meaning that X definitely has the property associated with predicate "pred", we have a truth function truth(pred(X)) which gives the degree of truth that X has that property. We can combine such 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 to 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: |
Health | Approximate, quantitative reasoning that is concerned with the linguistic ambiguity which exists in natural or synthetic language. At its core are variables such as good, bad, and young as well as modifiers such as more, less, and very. These ordinary terms represent fuzzy sets in a particular problem. Fuzzy logic plays a key role in many medical expert systems. (references) |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
Fuzzy Logic is a superset of Boolean logic dealing with the concept of partial truth. Whereas classical logic holds that everything can be expressed in binary terms (0 or 1, black or white, yes or no), fuzzy logic replaces Boolean truth values with degrees of truth which are very similar to probabilities (except that they need not sum to one). This allows for values between 0 and 1, shades of gray, and maybe; it allows partial membership in a set. It is highly related to fuzzy sets and possibility theory. It was introduced in the 1960s by Dr. Lotfi Zadeh of UC Berkeley.
Fuzzy logic is used to control household appliances (such as washing machines which sense load size and detergent concentration and auto-adjust their wash cycles accordingly; and refrigerators)
Another applications are passenger elevators, automobile subsystems (like ABS) and cameras.
A basic application might quantify where a limited range applies to a smooth spectrum -- as in temperature measurement for anti-lock brakes to function properly. Truth values derived from the specific temperature are mapped to a series of candidate quantities. These quantities can then be used to determine a separate function in accordance with the graduated value scheme.
In this image, cold, warm, and hot are identities mapped to a temperature scale. A point on that scale is represented by two "truth values" -- one in each of the two nearest identities. As the temperature rises, its "truth value" in the cold category declines, while its "truth value" in the warmer category rises.
The AND, OR, NOT operators of boolean logic have their fuzzy analogs in MIN, MAX, and COMPLEMENT.
See also: Dynamic logic.
Applications : Home appliances and more
External Link
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Fuzzy logic."
Crosswords: Fuzzy Logic |
| Specialty definitions using "fuzzy logic": cognitive architecture ♦ fuzzy computing, fuzzy subset. (references) |
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Clever | Does fuzzy logic tickle? (references; author: unknown) | |
Source: compiled by the editor from various references; see credits. | ||
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| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Language | Translations for "fuzzy logic"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||
Chinese | 模糊邏輯 . (various references) | ||||||||||||||||||||||
Danish | fuzzylogik, fuzzy theory (fuzzy, fuzzy theory), fuzzy logik (fuzzy set theory, possibilistic logic), fuzzy logic (fuzzy, fuzzy theory), fuzzy (fuzzy, fuzzy theory). (various references) | ||||||||||||||||||||||
Dutch | fuzzy logica, fuzzy (fuzzy, fuzzy theory), vage logica (fuzzy set theory, possibilistic logic). (various references) | ||||||||||||||||||||||
Finnish | sumea logiikka (fuzzy, fuzzy set theory, fuzzy theory, possibilistic logic). (various references) | ||||||||||||||||||||||
French | logique possibilistique (fuzzy set theory), logique floue (fuzzy, fuzzy set theory, fuzzy theory). (various references) | ||||||||||||||||||||||
German | Fuzzy-Logik (fuzzy, fuzzy set theory, fuzzy theory, possibilistic logic), Vagheitslogik (fuzzy set theory, possibilistic logic), unscharfe Logik (fuzzy, fuzzy set theory, fuzzy theory, possibilistic logic). (various references) | ||||||||||||||||||||||
Greek | ασαφής λογική (fuzzy set theory, possibilistic logic). (various references) | ||||||||||||||||||||||
Italian | teoria fuzzy (fuzzy, fuzzy theory), logica sfumata (fuzzy set theory, possibilistic logic), logica indeterminata (fuzzy set theory, possibilistic logic), logica fuzzy (fuzzy, fuzzy set theory, fuzzy theory, possibilistic logic). (various references) | ||||||||||||||||||||||
Japanese Kanji | ファイル分離キャラクタ (bassoon, facade, facility, FACOM, facsimile, fact, faction, factor, factoring, factory, factory automation, factory team, fagot-stitch, fagotting stitch, fascism, fascist, fax, Feynman, file separator, finder, fine, fine ceramics, fine chemical, fine food, fine play, foul, foul line, foul tip, foundation, fuzzy, fuzzy computer). (various references) | ||||||||||||||||||||||
Japanese Katakana | ファジーロジック . (various references) | ||||||||||||||||||||||
Pig Latin | uzzyfay ogiclay lógica vaga (fuzzy set theory, possibilistic logic). (various references) lógica difusa (fuzzy, fuzzy set theory, fuzzy theory, possibilistic logic). (various references) fuzzy-logik (fuzzy set theory, possibilistic logic), oskarp logik (fuzzy, fuzzy theory), diffus logik (fuzzy set theory, possibilistic logic). (various references) | ||||||||||||||||||||||
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "c-f-g-i-l-o-u-y-z-z" | |
-3 letters: fuzzily. | |
-4 letters: cozily, uglify. | |
-5 letters: fizzy, fugio, fuzil, fuzzy, gulfy, logic, oculi, yogic. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
Hexadecimal (or equivalents, 770AD-1900s) (references)46 75 7A 7A 79 4C 6F 67 69 63 |
| Leonardo da Vinci (1452-1519; backwards) (references)
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Binary Code (1918-1938, probably earlier) (references)01000110 01110101 01111010 01111010 01111001 00100000 01001100 01101111 01100111 01101001 01100011 |
HTML Code (1990) (references)F u z z y   L o g i c |
ISO 10646 (1991-1993) (references)0046 0075 007A 007A 0079 004C 006F 0067 0069 0063 |
Encryption (beginner's substitution cypher): (references)408792929124681737569 |
| 1. Definition 2. Crosswords 3. Usage: Modern 4. Usage: Commercial | 5. Expressions: Internet 6. Translations: Modern 7. Anagrams 8. Orthography | 9. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
