Fuzzy control: Difference between revisions

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By the expression '''Fuzzy logic''' one denotes several topics which are related with the notion of [[fuzzy subset|fuzzy subset]] defined in [[1965]] by [[Lotfi Asker Zadeh|Lotfi Zadeh]]. Mainly, we have to distinguish two possible interpretations of the word "fuzzy logic". The first one is given by people interested to applications and to an informal utilization of the notion of [[fuzzy subset]]. In such a case should be better expressions as "fuzzy logic in board sense" or "[[fuzzy set theory]]".
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Another interpretation is given by people which consider fuzzy logic as a chapter of formal logic, more precisely of multi-valued logic. In such a case one uses the expression "fuzzy logic in narrow sense" or "[[formal fuzzy logic|fuzzy logic in narrow sense]]".
 


'''Fuzzy control''' is the main success of fuzzy set theory and it is devoted to useful applications.
The idea is that we can consider IF-THEN rules in which fuzzy quantities are involved.


== See also ==
== See also ==
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* [[Pattern recognition]]
* [[Pattern recognition]]
* [[Rough set]]
* [[Rough set]]
* [[Soft-computing]]
* [[Soft-computing]][[Category:Suggestion Bot Tag]]
 
== Bibliography ==
* Cignoli R., D’Ottaviano I. M. L. , Mundici D. , ‘’Algebraic Foundations of Many-Valued Reasoning’’. Kluwer, Dordrecht, 1999.
* Cox E., ''The Fuzzy Systems Handbook'' (1994), ISBN 0-12-194270-8
* Elkan C.. ''The Paradoxical Success of Fuzzy Logic''. November 1993. Available from [http://www.cse.ucsd.edu/users/elkan/ Elkan's home page].
* Gerla G., ''Fuzzy logic: Mathematical Tools for Approximate Reasoning, Kluwer'', 2001.
* Hájek P., ''Metamathematics of fuzzy logic''. Kluwer 1998.
* Klir G. and Folger T., ''Fuzzy Sets, Uncertainty, and Information'' (1988), ISBN 0-13-345984-5.
* Klir G. and Bo Yuan, ''Fuzzy Sets and Fuzzy Logic'' (1995) ISBN 0-13-101171-5
* Bart Kosko, ''Fuzzy Thinking: The New Science of Fuzzy Logic'' (1993), Hyperion. ISBN 0-7868-8021-X
* Novák V., Perfilieva I, Mockor J., Mathematical Principles of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht, (1999).
* Yager R. and Filev D., ''Essentials of Fuzzy Modeling and Control'' (1994), ISBN 0-471-01761-2
* Zimmermann H., ''Fuzzy Set Theory and its Applications'' (2001), ISBN 0-7923-7435-5.
* Kevin M. Passino and Stephen Yurkovich, ''Fuzzy Control'', Addison Wesley Longman, Menlo Park, CA, 1998.
* Wiedermann J. , Characterizing the super-Turing computing power and efficiency of classical fuzzy Turing machines, ''Theor. Comput. Sci.'' 317, (2004), 61-69.
* Zadeh L.A., Fuzzy algorithms, ''Information and Control'', 5,(1968), 94-102.
* Zadeh L.A., Fuzzy Sets, ‘’Information and Control’’, 8 (1965) 338­353.
 
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[[category:Computers Workgroup]]
[[category:Mathematics Workgroup]]
[[category:Philosophy Workgroup]]

Latest revision as of 16:00, 19 August 2024

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Fuzzy control is the main success of fuzzy set theory and it is devoted to useful applications. The idea is that we can consider IF-THEN rules in which fuzzy quantities are involved.

See also