Pertemuan 22 FUZZIFIKASI DAN DEFUZZIFIKASI Matakuliah : H0434/Jaringan Syaraf Tiruan Tahun : 2005 Versi : 1 Pertemuan 22 FUZZIFIKASI DAN DEFUZZIFIKASI
Menjelaskan FUZZY to CRISP conversion dan sebaliknya. Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Menjelaskan FUZZY to CRISP conversion dan sebaliknya.
Outline Materi Proses Fuzzifikasi. Proses Defuzzifikasi.
FUZZIFIKASI & DEFUZZIFIKASI Fuzzification Scales and maps input variables to fuzzy sets Inference Mechanism Approximate reasoning Deduces the control action Defuzzification Convert fuzzy output values to control signals
FUZZY CONTROLLER
FUZZY CONTROLLER Fuzzy Controller Defuzzification action Module Fuzzy Controlled Process Fuzzy Inference Engine Fuzzy Rule base Fuzzification Module condition
FUZZIFICATION Transformation from crisp input to fuzzy input.
APPROXIMATE REASONING y = f(x) Then we can make inferences easily premise y = f(x) fact x = x’ ------------------------------ consequence y = f( x’ )
BASIC INFERENCES x is A Mary is very young A B very young young ------------ ------------------------- x is B Mary is young x is A pressure is not very high x is B pressure is not very low --------------- ------------------------------------ x is A B pressure is not very high and not very low
MAMDANI’S IMPLICATION OPERATOR if x is A then y is B x is A’ ----------------------- y is B’
INFERENCE Penarikan kesimpulan dari semua fungsi keanggotaan yang sudah didefinisikan menggunakan RULE BASE. IF A AND B THEN C RULE 1 : A1 , B1 C1 RULE 2 : A2 , B2 C2 FAKTA : x , Dx ---------------------------------------- KESIMPULAN : C’
MIN-MAX METHOD
DEFUZZIFICATION Transformation from fuzzy output to crisp ouput. Defuzzification is a process to get a non-fuzzy value that best represents the possibility distribution of an inferred fuzzy control action. There is no systematic procedure for choosing a good defuzzification strategy. Selection of defuzzification procedure depends on the properties of the application.
CENTROID OF THE AREA
EXAMPLE
MEAN OF MAXIMUM
EXAMPLE
HEIGHT METHOD
WEIGHTED AVERAGE
EXAMPLE
BISECTOR OF THE AREA
FIRST/LAST MAXIMA
EXAMPLE