Rockwell Automation RSLogix 5000 Fuzzy Designer - Manual (Page 40)

Publication LOGIX-UM004A-EN-P - March 2007
40 FuzzyDesigner Component Library
Largest of Maxima – LOM generally
The only difference to the previous method is that the maximum
value of the interval is chosen. The defuzzified output is defined as
follows.
Mean of Maxima, Smallest of Maxima, and Largest of Maxima methods
are not continuous and are mainly used in applications on
decision-making and classification when the task is to choose from
several alternatives.
If no term is activated (DOF = 0) then the inference result is set to a
user defined crisp default value.
Defuzzification SOM, MOM, LOM for singletons
Output value is computed as a reference singleton with maximal term
DOF.
If more terms have the same maximal DOF>0, then:
• SOM: output = smallest of the singletons with maximal DOF.
• LOM: output = largest of the singletons with maximal DOF.
• MOM: output = mean of the singletons with maximal DOF.
( )
{ }
* largest ( ) max ( )
i i i j j
j
y c A c A c = =
… …
y * y
A(y)
… …
y * y
A(y)