Rockwell Automation RSLogix 5000 Fuzzy Designer User Manual
Page 39
Publication LOGIX-UM004A-EN-P - March 2007
FuzzyDesigner Component Library 39
Defuzzification CA and MCA for trapezoids.
Trapezoids are automatically transformed to singletons.
The output value is then computed in the same way as for singletons.
Mean of Maxima – MOM generally
This method computes the mean value of the interval at which the
output fuzzy set reached the largest membership degree. It is defined
as follows.
Smallest of Maxima – SOM generally
This method is similar to the previous one. Instead of mean value, the
minimum value of the interval is chosen. The defuzzified output is
computed as follows.
CA
MCA
CA
MCA
CA = centroid method
MCA = mean of maxima (to allow
reaching limit values of the range)
(
)
{
}
*
mean
( ) max
( )
i
i
i
j
j
j
y
c A c
A c
=
=
…
…
y
*
y
A(y)
…
…
y
*
y
A(y)
(
)
{
}
*
smallest
( ) max
( )
i
i
i
j
j
j
y
c A c
A c
=
=
…
…
y
*
y
A(y)
…
…
y
*
y
A(y)