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ST52T441 View Datasheet(PDF) - STMicroelectronics

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ST52T441 Datasheet PDF : 94 Pages
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ST52T400/T440/E440/T441
2.3.3 Inference Phase.
The Inference Phase manages the alpha weights
obtained during the fuzzyfication phase to com-
pute the truth value () for each rule.
This is a calculation of the maximum (for the OR
operator) and/or minimum (for the AND operator)
performed on alpha values according to the logical
connectives of fuzzy rules.
Several conditions may be linked together by lin-
guistic connectives AND/OR, NOT operator and
brackets.
The truth value ω and the related output singleton-
move to the Defuzzyfication phase in order to
complete the inference calculation.
Figure 2.9 Output Membership Functions
j-th Singleton
1
ω
ij
ω
i0
ω
in
0
X
X
i0
ij
X
i-th OUTPUT
in
Figure 2.8 Fuzzyfication
IF INPUT 1 IS X1 OR INPUT 2 IS X2 THEN .......
α1
α2
X1
Input 1
X2
Input 2
OR = Max
IF INPUT 1 IS X1 AND INPUT 2 IS X2 THEN ......
α1
α2
X1
Input 1
X2
Input 2
2.3.4 Defuzzyfication.
In this phase the output crisp values are deter-
mined by implementing the consequent part of the
rules.
Each consequent Singleton Xi is multiplied by its
weight values ωi, calculated by the Fuzzy Infer-
ence Unit, in order to compute the upper part of
the defuzzification.
Each output value is deduced from the conse-
quent crisp values (Xi) by carrying out the follow-
ing defuzzification formula:
where:
N
Xijωij
Yi
=
----j-----------------
N
ωij
j
i = 0,1 identifies the current output variable
N = number of the active rules on the current out-
put
ωij =weight of the j-th singleton
Xij = abscissa of the j-th singleton
Fuzzy outputs are stored in the RAM location i-th
specified in the assembler instruction OUT i.
26/94

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