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Integration of Fuzzy Logic and Chaos Theory (Hardcover, 2006 ed.)
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Integration of Fuzzy Logic and Chaos Theory (Hardcover, 2006 ed.)
Series: Studies in Fuzziness and Soft Computing, 187
Expected to ship within 10 - 15 working days
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The 1960s were perhaps a decade of confusion, when scientists faced
d- culties in dealing with imprecise information and complex
dynamics. A new set theory and then an in?nite-valued logic of Lot?
A. Zadeh were so c- fusing that they were called fuzzy set theory
and fuzzy logic; a deterministic system found by E. N. Lorenz to
have random behaviours was so unusual that it was lately named a
chaotic system. Just like irrational and imaginary numbers,
negative energy, anti-matter, etc., fuzzy logic and chaos were gr-
ually and eventually accepted by many, if not all, scientists and
engineers as fundamental concepts, theories, as well as
technologies. In particular, fuzzy systems technology has achieved
its maturity with widespread applications in many industrial,
commercial, and technical ?elds, ranging from control, automation,
and arti?cial intelligence to image/signal processing,
patternrecognition, andelectroniccommerce.Chaos, ontheother hand,
wasconsideredoneofthethreemonumentaldiscoveriesofthetwentieth
century together with the theory of relativity and quantum
mechanics. As a very special nonlinear dynamical phenomenon, chaos
has reached its current outstanding status from being merely a
scienti?c curiosity in the mid-1960s to an applicable technology in
the late 1990s. Finding the intrinsic relation between fuzzy logic
and chaos theory is
certainlyofsigni?cantinterestandofpotentialimportance.Thepast20years
have indeed witnessed some serious explorations of the interactions
between fuzzylogicandchaostheory,
leadingtosuchresearchtopicsasfuzzymodeling of chaotic systems using
Takagi-Sugeno models, linguistic descriptions of chaotic systems,
fuzzy control of chaos, and a combination of fuzzy control
technology and chaos theory for various engineering pract
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