WeightedSum

WeightedSum

Bases: WeightedDefuzzifier

Weighted defuzzifier that computes the weighted sum of a fuzzy set represented by an Aggregated term.

related

• fuzzylite.defuzzifier.Defuzzifier
• fuzzylite.defuzzifier.WeightedDefuzzifier
• fuzzylite.defuzzifier.WeightedAverage
• fuzzylite.term.Aggregated

Functions

defuzzify

defuzzify(term: Term, minimum: float = nan, maximum: float = nan) -> Scalar

Computes the weighted sum of the fuzzy set.

The fuzzy set is represented by 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 sum of the fuzzy set