Fuzzy control: Difference between revisions

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imported>Giangiacomo Gerla
imported>Giangiacomo Gerla
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* Cox E., ''The Fuzzy Systems Handbook'' (1994), ISBN 0-12-194270-8
* 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].
* 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.
* Hájek P., ''Metamathematics of fuzzy logic''. Kluwer 1998.
* Hájek P., Fuzzy logic and arithmetical hierarchy, ''Fuzzy Sets and Systems'', 3, (1995), 359-363.
* Hájek P., Fuzzy logic and arithmetical hierarchy, ''Fuzzy Sets and Systems'', 3, (1995), 359-363.

Revision as of 03:21, 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 interpretations of the word "fuzzy logic". The first one is related with an informal utilization of the notion of fuzzy set and it is devoted to the applications. In such a case should be better expressions as "fuzzy set theory" or "fuzzy logic in board sense".

Another interpretation is given in considering fuzzy logic as a chapter of formal logic. In such a case one uses the expression "fuzzy logic in narrow sense" or "formal fuzzy logic".


See also

Bibliography

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  • 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 Elkan's home page.
  • Gerla G., Fuzzy logic: Mathematical Tools for Approximate Reasoning, Kluwer, 2001.
  • Hájek P., Metamathematics of fuzzy logic. Kluwer 1998.
  • Hájek P., Fuzzy logic and arithmetical hierarchy, Fuzzy Sets and Systems, 3, (1995), 359-363.
  • Höppner F., Klawonn F., Kruse R. and Runkler T., Fuzzy Cluster Analysis (1999), ISBN 0-471-98864-2.
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  • Bart Kosko, Fuzzy Thinking: The New Science of Fuzzy Logic (1993), Hyperion. ISBN 0-7868-8021-X
  • Montagna F., Three complexity problems in quantified fuzzy logic. Studia Logica, 68,(2001), 143-152.
  • Novák V., Perfilieva I, Mockor J., Mathematical Principles of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht, (1999).
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  • 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.
  • Zemankova-Leech, M., Fuzzy Relational Data Bases (1983), Ph. D. Dissertation, Florida State University.