For the non-energy industry sectors, THERESIA assumes fixed coefficient input relationship between intermediate inputs excluding energy inputs and value-added plus secondary energy input.
In the first stage, an initial fuzzy model is developed from the rules derived from the output-input relationship of the concerned model.
Your input and relationship will probably change along the way, but this is all just part of the process, and an entirely necessary part of becoming the parent of a grown-up human being.
Next, we describe the channel input-output relationships as follows.
For better illustration, we rewrite the symbol-wise channel input-output relationships in the following: (A4).
Artificial Neural Networks (ANNs) are useful in modelling input-output relationships learning directly from observed data.
Especially for systems with highly non-monotonic input-output relationships we expect difficulty in finding suitable equivalence classes.
In this case, the input-output relationships predicted by the SLH model and the transfer function agree.
As described in [1], the input-output relationships of the nonlinear kernels can also be expressed in vector form.
The input-output relationships were defined by fuzzy conditional functions that are known as fuzzy "if-then" rules.
Section 2 revisits the Volterra filters, discussing the redundancy-removed and matrix-form representations of kernel input-output relationships.
