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### Fuzzy Logic

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Date: 04/26/97 at 03:30:06
From: Nicholas Graham
Subject: Fuzzy logic

My calculus teacher suggested that when I get onto the Internet, I
be interesting.  Well, here I am asking.

Thank you!
Nick Graham, Grade 11 Calculus Student
```

```
Date: 04/26/97 at 10:07:53
From: Doctor Sarah
Subject: Re: Fuzzy logic

Hi Nick -

Let's get you started exploring the internet.

Using Altavista http://altavista.digital.com/    to search for "fuzzy
logic" (we recommend that you use a searcher for a topic like this,
since there's lots on the Web about it!) here are just a few examples
of what you can find:

(1) Fuzzy logic basics

"Fuzzy Logic is a departure from classical two-valued sets and logic,
that uses "soft" linguistic (e.g. large, hot, tall) system variables
and a continuous range of truth values in the interval [0,1], rather
than strict binary (True or False) decisions and assignments.
Formally, fuzzy logic is a structured, model-free estimator that
approximates a function through linguistic input/output associations.
Fuzzy rule-based systems apply these methods to solve many types of
"real-world" problems, especially where a system is difficult to
model, is controlled by a human operator or expert, or where ambiguity
or vagueness is common. A typical fuzzy system consists of a rule
base, membership functions, and an inference procedure"

(2) Fuzzy logic
http://cthulhu.control.com/alist/archive.old/msg01117.html

"Fuzzy logic is simply described as conventional boolean logic,
without the restriction that all variables must be either 0 or 1. In
order for this to be meaningful, the basic boolean operators (AND, OR,
and NOT), are redefined such that they can take inputs between zero
and one, and can generate outputs between zero and one. There are many
ways in which this can be done, but generally it is one of two ways"

(3) Applications of fuzzy logic

"Automatic control of dam gates for hydroelectric-powerplants,
simplified control of robots, camera aiming for the telecast of
sporting events, substitution of an expert for the assessment of stock
exchange activities, preventing unwanted temperature fluctuations in
air-conditioning systems, efficient and stable control of car-engines,
cruise-control for automobiles" and much, much more!

Here's an item culled by Kevin Brown from a usenet newsgroup posting:

http://www.mathpages.com/home/kmath123.htm

"There is a company called OMRON Electronics, Inc, that produces a
wide variety of control systems for industrial and commercial
products, and they are considered a leading proponent of "fuzzy"
control technology.  Their literature includes a very readable 22-page
document entitled "Fuzzy Logic, A 21st Century Technology: An
Introduction to Fuzzy Logic and Its Application in Control Systems".
I recommend it to anyone wanting a forthright explanation of how
"fuzzy logic" is actually implemented in a practical control
system..."

This is an excellent topic to attack by doing some web (or other)
research and then asking us a specific K12 level question.

Does this help?

-Doctor Sarah,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
College Definitions
College Logic
High School Definitions
High School Logic

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