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]] defined in [[1965]] by [[Lotfi Asker Zadeh|Lotfi Zadeh]]. Mainly, we have to distinguish two interpretations of the word "fuzzy logic". The first one is | By the expression '''Fuzzy logic''' one denotes several topics which are related with the notion of [[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]]". | ||
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]]". | 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]]". |
Revision as of 23:18, 29 June 2007
By the expression Fuzzy logic one denotes several topics which are related with the notion of fuzzy subset defined in 1965 by 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".
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".
See also
- Multi-valued logic
- Soft-computing
- Neuro-fuzzy
- Fuzzy subalgebra
- Fuzzy associative matrix
- FuzzyCLIPS expert system
- Fuzzy control system
- Fuzzy set
- Paradox of the heap
- Pattern recognition
- Rough set
Bibliography
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- Cox E., The Fuzzy Systems Handbook (1994), ISBN 0-12-194270-8
- Elkan C.. The Paradoxical Success of Fuzzy Logic. November 1993. Available from Elkan's home page.
- Gerla G., Fuzzy logic: Mathematical Tools for Approximate Reasoning, Kluwer, 2001.
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- Hájek P., Fuzzy logic and arithmetical hierarchy, Fuzzy Sets and Systems, 3, (1995), 359-363.
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- Zadeh L.A., Fuzzy algorithms, Information and Control, 5,(1968), 94-102.
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- Zemankova-Leech, M., Fuzzy Relational Data Bases (1983), Ph. D. Dissertation, Florida State University.