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TEXT 1
FUZZY LO GIC
Introduction
Welcome to the wonderful world of fuzzy logic, the new science you can use to
powerfully get things done. Add the ability to utilize personal computer based fuzzy
logic analysis and control to your technical and management skills and you can do
things that humans and machines cannot otherwise do.
Following is the base on which fuzzy logic is built:
As the complexity of a system increases, it becomes more diff icult and even-
tually impossible to make a precise statement about its behavior, eventually arriving
at a point of complexity where the fuzzy logic method born in humans is the only
way to get at the problem.
(Originally identified and set forth by Lotfi A. Zadeh, Ph.D., University of
California, Berkeley).
Fuzzy logic is used in system control and analysis design, because it shortens the
time for engineering development and sometimes, in the case of highly complex
systems, is the only way to solve the problem.
Fuzzy logic can apply also to economics, psychology, marketing, weather
forecasting, biology, politics…...to any large complex system.
The term «fuzzy» was first used by Dr. Lotfi Zadeh in the engineering journal,
«Pro-ceedings of the IRE», a leading engineering journal, in 1962. Dr. Zadeh
became, in 1963, the Chairman of the Electrical Engineering department of the
University of California at Berkeley. Dr. Zadeh’s thoughts are not to be taken lightly.
Fuzzy logic is not the wave of the future. It is now! There are already hundreds
of millions of dollars of successful, fuzzy logic based commercial products,
everything from self-focusing cameras to washing machines that adjust themselves
according to how dirty the clothes are, automobile engine controls, subway control
systems and computer programs trading successfully in the financial markets.
Fuzzy Logic Analysis and Control
A major contributor to Homo sapiens success and dominance of this planet is
our innate ability to exercise analysis and control based on the fuzzy logic method.
Here is an example:
Suppose you are driving down a typical, two way, 6 lane street in a large city,
one mile between signal lights. The speed limit is posted at 45 Mph. It is usually
optimum and safest to «drive with the traffic», which will usually be going about 48
Mph. How do you define with specific, precise instructions «driving with the
traffic»? It is difficult. But, it is the kind of thing humans do every day and do well.
There will be some drivers going more than 48 Mph and a few drivers driving
exac tly the posted 45 Mph. But, most drivers w ill be driv ing 48 Mph. They do this by
exercising «fuzzy logic» – receiving a large number of fuzzy inputs, somehow
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