What Is Fuzzy Logic?

Foundations of Fuzzy Logic
1.0
degree of
membership, µ
sharp-edged
membership
function for
TALL
tall (m = 1.0)
0.0 not tall (m = 0.0)
height
1.0
degree of
membership, µ
0.0
continuous
membership
function for
TALL
height
definitely a tall
person (m = 0.95)
really not very
tall at all (m = 0.30)
Subjective interpretations and appropriateunitsarebuiltrightintofuzzy
sets. If you say “She’s tall,” the membership function tall should already take
into account whether you are referring to a six-year-old or a grown woman.
Similarly, the units are included in the curve. Certainly it makes no sense to
say “Is she tall in inches or in meters?”
Membership Functions in Fuzzy Logic Toolbox Software
The only condition a membership function must really satisfy is that it must
vary between 0 and 1. The function itself can be an arbitrary curve whose
shapewecandefine as a function that suits us from the point of view of
simplicity, convenience, speed, and efficiency.
A classical set might be expressed as
A={x | x >6}
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