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The Fuzzy Neurons


The combination of the weighted input values can be replaced by a combination based on operation such as T-norms, noted tex2html_wrap_inline1619 , or T-conormes, noted tex2html_wrap_inline1621 . This modification leads to a structure of fuzzy neuron, based on fuzzy operators.

Using fuzzy logical neurons, the output is more or less influenced by the values of inputs. This influence depends on both the weights and the operation of fusion:

This defined the interval of possible values for the output.

The expression of the output y of a neuron with N inputs of type AND is given by:

displaymath1627

The expression of the output y of a neuron with N inputs of type OR is given by:

displaymath1633

Hybrid neurons with traditional arithmetic functions and triangular norms and conorms can be used. The output may be carried out using a function of activation of sigmoid type for example.


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