In the introduction to this fuzzy system section, in Figure 16.1 a fuzzy system is drawn as a black box with some inputs and an output. Figure 16.8 shows the contents of a
fuzzy system. Now it is clear, what is in this black box. The input signals combined to the vector
are crisp values,
which are transformed into fuzzy sets in the
fuzzification block as discussed in
section 16.1. The output 
comes out
directly from the defuzzification block, which
transforms an output fuzzy set back to a crisp value using methods
from section 16.3. The set of
membership functions responsible for the transforming part and the
rule base as the relational part contain as a whole the modelling
information about the system, which is processed by the inference
machine from section 16.2. This rule-based
fuzzy system is the basis of a fuzzy controller, which is
described in the following section.
