What Is Fuzzy Logic?

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defuzz Purpose Syntax Description Defuzzify membership function out = defuzz(x,mf,type) defuzz(x,mf,type) returns a defuzzified value out, ofamembership function mf positioned at associated variable value x, usingoneof several defuzzification strategies, according to the argument, type. The variable type canbeoneofthefollowing: • centroid: centroid of area • bisector: bisectorofarea • mom: mean value of maximum • som: smallest (absolute) value of maximum • lom: largest (absolute) value of maximum If type is not one of those listed, <strong>Fuzzy</strong> <strong>Logic</strong> Toolbox software assumes it to be a user-defined function. x and mf are passed to this function to generate the defuzzified output. Examples x = -10:0.1:10; mf = trapmf(x,[-10 -8 -4 7]); xx = defuzz(x,mf,'centroid'); 4-12
dsigmf Purpose Syntax Description Built-in membership function composed of difference between two sigmoidal membership functions y = dsigmf(x,[a1 c1 a2 c2]) The sigmoidal membership function used depends on the two parameters a and c and is given by ( ) = + − − f x; a, c 1 1 e ax ( c ) The membership function dsigmf depends on four parameters, a1, c1, a2, andc2, and is the difference between two of these sigmoidal functions. f 1 (x; a 1 , c 1 )-f 2 (x; a 2 , c 2 ) The parameters are listed in the order: [a 1 c 1 a 2 c 2 ]. Examples x=0:0.1:10; y=dsigmf(x,[5 2 5 7]); plot(x,y) xlabel('dsigmf, P=[5 2 5 7]') 1 0.75 0.5 0.25 0 0 2 4 6 8 10 dsigmf, P = [5 2 5 7] 4-13
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Fuzzy Logic Toolbox 2 User’s Guid
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Revision History January 1995 First
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Overview of Fuzzy Inference Process
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Simulink Environment ..............
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x Contents
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1 Getting Started Product Overview
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1 Getting Started If you just want
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1 Getting Started Another basic con
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1 Getting Started Input Space (all
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1 Getting Started do a fine job wit
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1 Getting Started An Introductory E
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1 Getting Started See how the formu
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1 Getting Started tip=(0.15)*servRa
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1 Getting Started 0.25 0.2 tip 0.15
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1 Getting Started or perhaps rewrit
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2 Tutorial Overview The point of fu
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2 Tutorial Foundations of Fuzzy Log
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2 Tutorial How does it work? Reason
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2 Tutorial One of the most commonly
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2 Tutorial A fuzzy set is an extens
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2 Tutorial Polynomial based curves
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2 Tutorial A B min(A,B) A B max(A,B
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2 Tutorial the fuzzy sets to be com
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2 Tutorial if temperature is cold t
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2 Tutorial Fuzzy Inference Systems
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2 Tutorial Information flows from l
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2 Tutorial selects the maximum of t
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2 Tutorial In the following diagram
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2 Tutorial 1. if and then Interpret
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2 Tutorial Customization Oneofthepr
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2 Tutorial adaptive neural fuzzy in
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2 Tutorial Getting Started We’ll
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2 Tutorial Name of the system. Chan
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2 Tutorial 8 Select File > Export >
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2 Tutorial Editor shares some featu
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2 Tutorial can first use the mouse
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2 Tutorial d Verify that 3 is selec
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2 Tutorial 5 In the FIS Variables a
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2 Tutorial Now that the variables h
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2 Tutorial one of the variable qual
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2 Tutorial A literal interpretation
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2 Tutorial Notice that under food,
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2 Tutorial Upon opening the Surface
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2 Tutorial Building Fuzzy Inference
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2 Tutorial Specifying Custom Member
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2 Tutorial 3 In the FIS Editor, sel
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2 Tutorial Using the custmf1 exampl
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2 Tutorial 6 To add custom membersh
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2 Tutorial In the toolbox, the AND
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2 Tutorial 1 In the lower-left pane
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2 Tutorial Working from the Command
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2 Tutorial The structure.field synt
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2 Tutorial After closing any open M
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2 Tutorial 25 20 tip 15 10 5 10 8 6
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2 Tutorial a.output(1).mf(2).type='
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2 Tutorial All the information for
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2 Tutorial 44. 2 The list of comman
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2 Tutorial Working in Simulink Envi
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2 Tutorial 2 1.8 1.6 1.4 1.2 1 0.8
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2 Tutorial 0.8 0.6 0.4 0.2 valve 0
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2 Tutorial If you stop the simulati
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2 Tutorial FIS. This automatic mode
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2 Tutorial Type slcp attheMATLABpro
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2 Tutorial As the figure shows, the
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2 Tutorial The final output of the
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2 Tutorial the Sugeno-type represen
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2 Tutorial and the membership funct
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2 Tutorial anfis and the ANFIS Edit
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2 Tutorial alone or in combination
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2 Tutorial Constraints of anfis anf
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2 Tutorial You can also load Testin
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2 Tutorial Validating the Trained F
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2 Tutorial The training data appear
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2 Tutorial 1 Choose Grid partition,
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2 Tutorial Viewing Your FIS Structu
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2 Tutorial The plot shows the check
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2 Tutorial • Select the Checking
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2 Tutorial In this case, the checki
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2 Tutorial anfis from the Command L
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2 Tutorial data values. You use the
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2 Tutorial subplot(2,2,4) plotmf(fi
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2 Tutorial Thedifferencebetweentheo
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2 Tutorial As a result, the trainin
Page 168 and 169: 2 Tutorial Output FIS Structure for
Page 170 and 171: 2 Tutorial Output FIS Structure for
Page 172 and 173: 2 Tutorial right location within a
Page 174 and 175: 2 Tutorial Here, the variable cente
Page 176 and 177: 2 Tutorial Finally, plot the two cl
Page 178 and 179: 2 Tutorial The genfis2 function bui
Page 180 and 181: 2 Tutorial fismat=genfis2(datin,dat
Page 182 and 183: 2 Tutorial At this point, you can u
Page 184 and 185: 2 Tutorial The next figure shows th
Page 186 and 187: 2 Tutorial you fit the fuzzy system
Page 188 and 189: 2 Tutorial Plot the checking error
Page 190 and 191: 2 Tutorial information on the clust
Page 192 and 193: 2 Tutorial Saving the Cluster Cente
Page 194 and 195: 2 Tutorial The fis.c file contains
Page 196 and 197: 2 Tutorial This command saves the i
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Page 200 and 201: 2 Tutorial 7 To verify that the fuz
Page 202 and 203: 3 Function Reference GUI Tools and
Page 204 and 205: 3 Function Reference FIS Data Struc
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Page 208 and 209: addmf Purpose Syntax Description Ad
Page 210 and 211: addrule Purpose Syntax Description
Page 212 and 213: anfis Purpose Syntax Description Tr
Page 214 and 215: anfis training data set. When you s
Page 216 and 217: anfisedit Purpose Syntax Descriptio
Page 220 and 221: dsigmf See Also gaussmf, gauss2mf,
Page 222 and 223: evalfis • ORR: the result of eval
Page 224 and 225: fcm Purpose Syntax Description Fuzz
Page 226 and 227: findcluster Purpose Syntax Descript
Page 228 and 229: fuzarith Purpose Syntax Description
Page 230 and 231: fuzzy Purpose Syntax Open basic Fuz
Page 232 and 233: fuzzy Membership functions to invok
Page 234 and 235: gauss2mf See Also dsigmf, gauss2mf,
Page 236 and 237: gbellmf Purpose Syntax Description
Page 238 and 239: genfis1 The default number of membe
Page 240 and 241: genfis2 Purpose Syntax Description
Page 242 and 243: genfis2 Xin1 = 7*rand(50,1); Xin2 =
Page 244 and 245: genfis2 Example 3 The following exa
Page 246 and 247: genfis3 The input membership functi
Page 248 and 249: genfis3 Example 3 The following exa
Page 250 and 251: gensurf Example 1 a = readfis('tipp
Page 252 and 253: getfis 'inlabels' 'outlabels' 'inra
Page 254 and 255: getfis getfis(a,'input',1) Name = s
Page 256 and 257: mam2sug Purpose Syntax Description
Page 258 and 259: mf2mf 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3
Page 260 and 261: mfedit Selecttheiconforthevariableo
Page 262 and 263: newfis DefuzzMethod ans = [newsys]
Page 264 and 265: pimf Purpose Syntax Description Exa
Page 266 and 267: plotmf Purpose Syntax Description E
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psigmf Purpose Syntax Description B
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mmf Purpose Syntax Description Remo
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mvar Purpose Syntax Description Rem
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uleedit Purpose Syntax Description
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uleview Purpose Syntax Rule viewer
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setfis Purpose Syntax Description S
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sffis Purpose Syntax Description Fu
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showfis 24. average 25. generous 26
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showrule 1. (service==poor) | (food
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sigmf See Also dsigmf, gaussmf, gau
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subclust Purpose Syntax Description
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subclust Examples [C,S] = subclust(
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surfview If you want to create a sm
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trapmf Purpose Syntax Description T
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trimf Purpose Syntax Description Tr
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writefis Purpose Syntax Description
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zmf See Also dsigmf, gaussmf, gauss
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5 Block Reference Controllers Fuzzy
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5 Block Reference Membership Functi
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Diff. Sigmoidal MF Purpose Descript
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Fuzzy Logic Controller with Rulevie
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Gaussian2 MF Purpose Description Co
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Pi-shaped MF Purpose Description Se
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Probabilistic Rule Agg Purpose Desc
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S-shaped MF Purpose Description See
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Trapezoidal MF Purpose Description
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Z-shaped MF Purpose Description See
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A Examples Introductory Examples
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B Bibliography [1] Bezdec, J.C., Pa
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B Bibliography [22] Zadeh, L.A.,
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Glossary fuzzy c-means clustering A
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Glossary Glossary-4
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Index H hybrid method 2-121 I if-th
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What Is Fuzzy Logic?

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