Fuzzy Logic

An extension of two-valued logic such that statements need not be true or false, but may have a degree of truth between 0 and 1. Such a system can be extremely useful in designing control logic for real-world systems such as elevators.

In the Season 4 opening episode "Trust Metric" (2007) of the television crime drama NUMB3RS, math genius Charlie Eppes attempts to use fuzzy logic in an attempt to construct a trust metric telling how much fugitive and alleged traitor Colby Granger can be trusted.

REFERENCES

Cignoli, R. L. O.; D'Ottaviano, I. M. L.; and Mundici, D. Algebraic Foundations of Many-Valued Reasoning. Dordrecht, Netherlands: Kluwer, 2000.

Gottwald, S. A Treatise on Many-Valued Logics. Baldock, Hertfordshire, England: Research Studies Press, 2001.Hájek, P. Metamathematics of Fuzzy Logic. Dordrecht, Netherlands: Kluwer, 1998.

McNeill, D. Fuzzy Logic: A Practical Approach. New York: Academic Press, 1994.

McNeill, D. and Freiberger, P. Fuzzy Logic: The Discovery of a Revolutionary Computer Technology and How It is Changing Our World. New York: Simon and Schuster, 1993.

Nguyen, H. T. and Walker, E. A. A First Course in Fuzzy Logic. Boca Raton, FL: CRC Press, 1996.Novák, V.; Perfilieva, I.; and Močkor, J. Mathematical Principles of Fuzzy Logic. Dordrecht, Netherlands: Kluwer, 1999.

Novák, V. and Perfilieva, I. (Eds.). Discovering the World with Fuzzy Logic. Heidelberg, Germany: Springer-Verlag, 2000.

Weisstein, E. W. "Books about Fuzzy Logic." http://www.ericweisstein.com/encyclopedias/books/FuzzyLogic.html.

Yager, R. R. and Zadeh, L. A. (Eds.). An Introduction to Fuzzy Logic Applications in Intelligent Systems. Boston, MA: Kluwer, 1992.

Zadeh, L. and Kacprzyk, J. (Eds.). Fuzzy Logic for the Management of Uncertainty. New York: Wiley, 1992.