Sugeno system

Sugeno fuzzy logic system is one of the two basic types of fuzzy systems. Output variable values are set as a linear combination of input variables.

Description

Unlike the Mamdani rule, an input variable value is set by a linear function from entries rather than by a fuzzy term. Fuzzy logic rule for the Sugeno algorithm can be described as follows:

where:

• X = (X1, X2, X3 ... Xn) — vector of input variables;
• Y — output variable;
• a = (a1, a2, a3 ... an) — vector of input variable values;
• b = (b1, b2, b3 ... bn) — free term ratio in the linear function for an output value
• W — rule weight.

Class methods