Sugeno-style Fuzzy Inference andANFIS

Teny Handhayani

Kategori Berat Badan

Kategori Umur

Latihan

Data

Fungsi

Mamdani

Mamdani

Mamdani

Mamdani

Mamdani

Sugeno

The result of Sugeno reasoning is an exact number.

Rules:If x is xi then y = yi

yi= discretization points of membership functionsm= number of rules

Sugeno

Sugeno reasoning allows us to use also functions of input x, not only constants, on the right hand side. The rules would look like

If x is xi then y = fi(x)

For exampley = p1x + r1

Sugeno

Sugeno

Sugeno

Sugeno

Sugeno

ANFIS (Adaptive Neuro-Fuzzy Inference System)

ANFIS (Adaptive Neuro-Fuzzy Inference System)

ANFIS (Adaptive Neuro-Fuzzy Inference System) –method is used as a teaching method for Sugeno-type fuzzy systems.

Make fuzzy approximation of function using ANFIS method

ANFIS Method

set the number and type of input membership functions:

FIS-matrix fismat is generated by command genfish1:

ANFIS-training by 40 rounds

Check the training result:

Draw the error curves:

Step size during the training:

Membership functions after training:

compare fuzzy system output to the training and checking data:

Tugas 1

Buatlah aturan Fuzzy (Fuzzy Mamdani dan Fuzzy Sugeno) untuk menghitung fungsi y = x3 !

Tugas 2

Buatlah aproksimasi fuzzy dari fungsi y = f(x) = -2x – x2

Gunakan metode ANFIS