Concept
Fuzzy logic
Overview
Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. By contrast, in Boolean logic, the truth values of variables may only be the integer values 0 or 1.
The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by mathematician Lotfi Zadeh. Basic fuzzy logic had, however, been studied since the 1920s, as infinite-valued logic—notably by Łukasiewicz and Tarski. The works of Zadeh and Joseph Goguen in the 1960s and 1970s went further by considering issues such as linguistic variables and lattices.
Fuzzy logic is based on the observation that people make decisions based on imprecise and non-numerical information. Fuzzy models or fuzzy sets are mathematical means of representing vagueness and imprecise information (hence the term fuzzy). These models have the capability of recognising, representing, manipulating, interpreting, and using data and information that are vague and lack certainty.
Fuzzy logic has been applied to many fields, from control theory to artificial intelligence.
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Possible passages
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This is less to be regretted because this account is completely a corollary from the nature of thinking and ideas. If the view held as to the latter is understood, the conception of truth follows as a matter of course. If it be not understood, any attempt to present the theory of truth is bound to be confusing, and the theory itself to seem arbitrary and absurd. _If_ ideas, meanings, conceptions, notions, theories…
John Dewey, Reconstruction in Philosophy
States what Fuzzy logic is.
One of the most successfully cultivated branches of philosophy in our time is what is called inductive logic, the study of the conditions under which our sciences have evolved. Writers on this subject have begun to show a singular unanimity as to what the laws of nature and elements of fact mean, when formulated by mathematicians, physicists and chemists. When the first mathematical, logical and natural…
William James, Pragmatism
States what Fuzzy logic is.
This is nothing else than the necessity of abstract logic, which is the presupposition involved in the very fact of interrelated existence as disclosed in each immediate occasion of experience. The key to the pattern means this fact:—that from a select set of those general conditions, exemplified in any one and the same occasion, a pattern involving an infinite variety of other such conditions, also exemplified in…
Alfred North Whitehead, Science and the modern world
States what Fuzzy logic is.
Related ideas
- First-order logic
- Artificial intelligence
- Integer
- Truth value
- Formula
- Kurt Gödel
- Intuitionistic logic
- Synthese
- Logical conjunction
- Propositional logic
- Axiomatic system
- Mathematical logic
- Real number
- Probability
- Turing machine
- Jan Łukasiewicz
- University of California, Berkeley
- Vagueness
- Computably enumerable set
- XML
- YouTube
- Variable (mathematics)
- Many-valued logic
- Infimum and supremum
Opposing perspectives
Place in the tradition
Part of Outline of philosophy.
Narrower topics:
- Bayes' theorem
- Continuous function
- Formula
- Infimum and supremum
- Real number
- Structure (mathematical logic)
- Turing machine
- Variable (mathematics)
- XML
- Residuated lattice
- MV-algebra
- T-norm
- World Wide Web Consortium
- BL (logic)
- IEEE Standards Association
- XML Schema (W3C)
- Fuzzy Control Language
- Fuzzy markup language
- IEC 61131
- IEEE 1855
- Operator (computer programming)
- Monoidal t-norm logic