STFLWARP11 datasheet(8/19 Pages) STMICROELECTRONICS

Numer części	STFLWARP11

Szczegółowy opis	WEIGHT ASSOCIATIVE RULE PROCESSOR

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Producent	STMICROELECTRONICS [STMicroelectronics]

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by the configuration in accordance with the antece-

dent part of the fuzzy rules. The duration of the

fuzzification process depends from the chosen

configuration and the input number.

Inference Unit. Thanks to the Theta Operator, the

Inference Unit generates the THETA weights which

are used to manipulate the consequent MFs.

This is a calculation of the maximum and/or mini-

mum performed on ALPHA values according to the

logical connectives of fuzzy rules. It is possible to

utilize the AND/OR connectives and to directly ex-

ploit ALPHA weights or the negated values. The

number of THETA weights depends on the number

of rules.

The rules can have at maximum four ALPHA

weights (however they are connected). Two or

more rules can be only joined with the OR connec-

tive.

Inference Unit structure is shown in figure 5.

Defuzzifier. It generates the output crisp values

implementing the consequent part of the rules ac-

cording to MAX-DOT method.

In this method consequent MFs are multiplied by a

weight value

Ω (OMEGA), which is calculated on

the basis of antecedent MFs and logical operators.

All the terms needed to evaluate sums in numerator

and denominator of center of gravity equation (see

formula) are stored during the off-line phase.

The processing of fuzzy rules produces, for each

output variable, a resulting membership function.

Each MF related to the processed output variable

is firstly modified by a rule weight in accordance to

MAX-DOT method.

Output value (X) is deduced from the centroids (xi)

and the modified MFs (

Ωi *Ai) by using the formula:

X

=

∑

1

n

Ω i ∗ A i ∗ x i

∑

1

n

Ω i ∗ A i

n = number of MFs defined for the Output Variable

Ai=MFi Area

xi=absciss of the MFi centroid

Ωi =membership degree of the output MFi.

To represent a membership function related with

the THEN-part of a rule W.A.R.P. uses a single

memory bench. For each consequent MF each

memory word contains both the area multiplied with

the barycentre and the area itself. This area is

related to the first truth level (there are 16 truth

levels (4 bit), so a multiplication with the calculated

THETA must be performed on-line.

Two parallel blocks calculate the numerator and

denominator values to implement the centroids

formula. A final division block calculates the output

values (see figure 6).

Figure 6. Inference Unit Structure

8/19

W.A.R.P.1.1

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