Digital Signal Processing Reference
In-Depth Information
(a)
[
µ ik ( x i )]
x 1
[ y i ]
input1 MFs
Set
of
if-then
rules
Sugeno
output
calcula-
tion
x 2
z
input2 MFs
x 3
input3 MFs
input
MFs
output
MFs
weighted sum
output
(b)
inputs
rules
normalization
factor
Fig. 15.1
FIS studied: a general structure, b adaptive network representation
becomes fuzzified when
• Any T-norm or S-norm is introduced to combine the input data with weighting
factors,
• Aggregation is performed with any T-norm or S-norm,
• u is any continuous function.
The following are just few examples of fuzzy neurons that can be defined in
such a way [ 2 , 10 ]:
 
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