Fuzzy

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Fuzzy ANFIS

• Use MATLAB

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Outline

• Fuzzy logic toolbox
• Fuzzy use command line
• Fuzzy use GUI
• ANFIS use command line
• ANFIS use GUI

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Outline

• Fuzzy logic toolbox
• Fuzzy use command line
• Fuzzy use GUI
• ANFIS use command line
• ANFIS use GUI

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Fuzzy Logic Toolbox

• ???XXX.fis
• ??System?Input?Output?Rule????
• ?????????????(trimf)???(trapmf)?????(gbellmf)???(
  gaussmf)???2(gauss2mf),?????sigmf?dsigmf?psigmf?pi
  mf?smf?zmf??
• ????(Rule)? ifthen ???

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??????

• Sigmf
• Dsigmf
• Psigmf
• Pimf
• Smf
• Zmf

• Trimf
• Trapmf
• Gbellmf
• Gaussmf
• Gauss2mf

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????(Rule)

• ?????
• if (x is A) and (y is B) then (z is a)(1)
• if (x is A) or (y is C) then (z is ß)(1)
• ?????
• (x A) (y B) gt (z a)(1)
• (x A) (y C) gt (z ß)(1)
• ?????
• 1 2, 1(1)1 ??????ABC??????
• 1 3, 2(1)2 ???a ß??????

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Outline

• Fuzzy logic toolbox
• Fuzzy use command line
• Fuzzy use GUI
• ANFIS use command line
• ANFIS use GUI

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ExampleTipper
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• ??MATLAB?????M-file

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System

• System
• ??????????,?System,Inputs,Outputs?Rules?
• Name'tipper1' ???tipper1.fis
• Type'mamdani' Mamdani style
• NumInputs2 ???????
• NumOutputs1 ???????
• NumRules3 ?????
• AndMethod'min' ?????????????
• OrMethod'max'
• ImpMethod'min'
• AggMethod'max'
• DefuzzMethod'centroid'

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Input1

• Input1
  ????????
• Name'service'
  ????
• Range0 10
  ????
• NumMFs3
  ??????????
• MF1'poor''gaussmf',1.5 0
  ????????
• MF2'good''gaussmf',1.5 5
  ????????
• MF3'excellent''gaussmf',1.5 10 ????????

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Input1
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Input2

• Input2 ????????
• Name'food'
• Range0 10
• NumMFs2
• MF1'rancid''trapmf',0 0 1 3
• MF2'delicious''trapmf',7 9 10 10

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Input2
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Output1

• Output1 ??????
• Name'tip'
• Range0 30
• NumMFs3
• MF1'cheap''trimf',0 5 10
• MF2'average''trimf',10 15 20
• MF3'generous''trimf',20 25 30

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Output1
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Rules

• If (service is poor) or (food is rancid) then
  (tip is cheap) (1)
• If (service is good) then (tip is average) (1)
  
• If (service is excellent) or (food is delicious)
  then (tip is generous) (1)

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Rules

• Rules ??????,???????
• 1 1, 1 (1) 2
• 2 0, 2 (1) 2
• 3 2, 3 (1) 2

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• ???tipper1.fis
• ?tipper1.fis??MATLAB?
• tipperreadfis('tipper1')
• ??tipper
• evalfis(5 5,tipper) ?????????
• ans 15.0000
• evalfis(5 510 32 9,tipper) ??????
• ans 15.0000 24.9220 16.8196

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????

• ??????
• plotmf(tipper,'input',1)
• ??????
• showrule(tipper) ?????
• showrule(tipper,1 3,'symbolic') ?????
• ?????????
• surfview(tipper)

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???????
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Outline

• Fuzzy logic toolbox
• Fuzzy use command line
• Fuzzy use GUI
• ANFIS use command line
• ANFIS use GUI

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??FUZZY LOGIC TOOLBOX GUI

• ?MATLAB command window??fuzzy

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??input/output
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??????
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??????
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???????
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????????
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????????
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??/??????
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Service
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Food
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Tip
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??????
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??????
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??Tipper
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??Tipper
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Outline

• Fuzzy logic toolbox
• Fuzzy use command line
• Fuzzy use GUI
• ANFIS use command line
• ANFIS use GUI

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??demo?????

• load mgdata.dat
• time mgdata(, 1)
• x mgdata(, 2)
• for t1181117,
• Data(t-117,)x(t-18) x(t-12) x(t-6) x(t)
  x(t6)
• end
• trnDataData(1500, )
• chkDataData(501end, )

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mgdata
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??????FIS

• fismat genfis1(trnData)
• fismatgenfis1(inputData,2,'gauss2mf','constant')
  

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??ANFIS

• fismat1,error1,ss,fismat2,error2
  anfis(trnData,fismat,,,chkData)

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??ANFIS

• anfis_output evalfis(trnData(,14)
  chkData(,14),fismat2)
• index 1251124
• subplot(211), plot(time(index), x(index)
  anfis_output)
• xlabel('Time (sec)')
• title('MG Time Series and ANFIS Prediction')
• subplot(212), plot(time(index), x(index) -
  anfis_output)
• xlabel('Time (sec)')
• title('Prediction Errors')

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Outline

• Fuzzy logic toolbox
• Fuzzy use command line
• Fuzzy use GUI
• ANFIS use command line
• ANFIS use GUI

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??ANFIS EDIT GUI

• ?MATLAB command window??anfisedit

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??demo??

• ?MATLAB command window??????
• load fuzex1trnData.dat
• load fuzex2trnData.dat
• load fuzex1chkData.dat
• load fuzex2chkData.dat

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?workspace????
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??????FIS
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??FIS??
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??ANFIS
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?????ANFIS????
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• Thanks!!