Rockwell-automation RSLogix 5000 Fuzzy Designer User Manual download pdf (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.

CAMCA

CA

MCA

CA = centroid method

MCA = mean of maxima (to allow

reaching limit values of the range)

()

{}

*

mean ( ) max ( )

iii jj

j

ycAcAc==

……

y

*

y

A

(y)

……

y

*

y

A

(y)

()

{}

*

smallest ( ) max ( )

iii jj

j

ycAcAc==

……

y

*

y

A

(y)

……

y

*

y

A

(y)

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