89585066 Fuzzifikasi Defuzzifikasi Okt2011 OK
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Transcript of 89585066 Fuzzifikasi Defuzzifikasi Okt2011 OK
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(Fuzzification and Defuzzification)
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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
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1
0.6
input
Transformation from crisp input to fuzzy input.
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Misalkan, kita menggunakan fungsi keanggotaan trapesium untuk kelembaban tanah. Crisp input = 12%
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Berada pada nilai linguistik Dry dan Moist
Derajat keanggotaan untuk Dry dihitung menggunakan rumus:
-(x-d)/(d-c), c < x d; di mana c=10, dan d=20, sehingga derajat keanggotaan Dry = 4/5.
Derajat keanggotaan untuk Moist dihitung dengan menggunakan rumus:
(x-a)/(b-a), a < x < b; di mana a=10, dan b=20, sehingga derajat keanggotaan Moist = 1/5.
Contoh Fuzzifikasi 1
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Misalkan, kita menggunakan fungsi keanggotaan trapesium untuk suhu. Crisp input = 37o
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Berada pada nilai linguistik Warm dan Hot.
Derajat keanggotaan untuk Warm dihitung menggunakan rumus:
-(x-d)/(d-c), c< x d , di mana c = 36, dan d= 39, sehingga derajat keanggotaan Warm = 2/3
Derajat keanggotaan untuk Hot dihitung menggunakan rumus:
(x-a)/(b-a), a < x < b, di mana a = 36, dan b = 39, sehingga derajat keanggotaan untuk Hot = 1/3.
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Misal ada 2 input: input1 dan input2, masing-masing 3 fungsi keanggotaan: kecil, sedang dan besar
kecil = 1/1 + 0.7/2 + 0.3/3 + 0/4 + 0/5 + 0/6 + 0/7
sedang = 0/1 + 0.3/2 + 0.7/3 + 1/4 + 0.7/5 + 0.3/6 + 0/7
Besar = 0/1 + 0/2 + 0/3 + 0/4 + 0.3/5 + 0.7/6 + 1/7
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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
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Centroid
Bisector
MOM (Mean Of Maximum)
SOM
LOM
Weighted Average
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Nilai crisp dihitung menggunakan rumus:
di mana y* suatu nilai crisp.
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Fungsi integration dapat diganti dengan fungsi summation jika y bernilai diskrit, sehingga:
di mana y* adalah nilai crisp dan R(y) adalah derajat keanggotaan dari y.
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Plausibility Computational Simplicity
Continuity
Centroid Yes No Yes
Bisector
MOM Yes Yes No
SOM Yes Yes No
LOM Yes Yes No
Weighted Average
Yes Yes Yes