WeightedAverage
Bases: WeightedDefuzzifier
Weighted defuzzifier that computes the weighted average of a fuzzy set represented by an Aggregated term.
related
Functions¶
Computes the weighted average of the fuzzy set.
The fuzzy set is represented by an Aggregated Term as \(y = \sum_i{w_iz_i}\), where \(w_i\) is the activation degree of term \(i\), and \(z_i = \mu_i(w_i)\).
In Takagi-Sugeno controllers, the membership function \(\mu_i(w_i)\) is generally a Constant, Linear, or Function term, which typically disregards the \(w_i\) value.
Warning
From version 8, the aggregation operator is used to aggregate multiple activations of the same term.
In previous versions, the implication and aggregation operators are not used for weighted defuzzification.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
term |
Term
|
term to defuzzify |
required |
minimum |
float
|
irrelevant |
nan
|
maximum |
float
|
irrelevant |
nan
|
Returns:
| Type | Description |
|---|---|
Scalar
|
weighted average of the fuzzy set |