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jFuzzyLogic/html/html_old/membership.html
Pablo Cingolani 5588192716 Moving code to GitHub
2014-12-19 08:30:46 -05:00

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<header>
<title> jFuzzyLogic: Open Source Fuzzy Logic (Java) </title>
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<a href="http://jfuzzylogic.sourceforge.net/">jFuzzyLogic</a>
<p style="font-size: 12pt" align=right><b>Open Source Fuzzy Logic library and FCL language implementation</b></p>
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<li><a href="http://jfuzzylogic.sourceforge.net/">Home</a></li>
<li class="page_item"><a href="example_java.html" title="Documentation">Examples</a></li>
<li class="page_item"><a href="classes.html" title="Documentation">Documentation</a></li>
<li class="page_item"><a href="faq.html" title="FAQ">FAQ</a></li>
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<li class="page_item"><a href="about.html" title="About">About</a></li>
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<b>
<center><h2>jFuzzyLogic</h2></center>
<a href="http://sourceforge.net/projects/jfuzzylogic">Download</a><br>
<a href="plugin.html">Eclipse plugin</a><br>
<center>Examples</center>
<a href=example_java.html>Java example</a><br>
<a href=java.html>Java detailed example</a><br>
<a href=example_fcl.html>FCL example</a><br>
<a href=fcl.html>FCL detailed example</a><br>
<a href=example_parametric_optimization.html>Optimization example</a><br>
<center> Documentation </center>
<a href=faq.html>Faq</a><br>
<a href=classes.html>Classes</a><br>
<a href=membership.html>Membership functions</a><br>
<a href="../doc/iec_1131_7_cd1.pdf">FCL (pdf)</a><br>
<a href="about.html">About</a><br>
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<center><h3> Membership functions </h3></center>
There are several membership functions. Mainly two sub classes: <i><b>Continuous</b></i> and <i><b>Discrete</b></i>. One variable can only have Continuous or Discrete membership functions.
<center><img src="images/membership.png"></center><br>
<b>Usage, examples, and FCL:</b>
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<tr> <td> <center><b>Triangular</b></center> <br>
<img src="images/inVar2.png"><br>
Usage: <b>trian</b> min mid max
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<pre>
FUZZIFY inVar2
TERM poor := trian 0 2.5 5;
TERM good := trian 2.5 5 7.5;
TERM excellent := trian 5 7.5 10;
END_FUZZIFY
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<tr> <td> <center><b>Trapetzoidal</b></center> <br>
<img src="images/inVar3.png"><br>
Usage: <b>trape</b> min midLow midHigh max
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<pre>
FUZZIFY inVar3
TERM poor := trape 0 2 3 4;
TERM good := trape 3 4 5 6;
TERM excellent := trape 5 6 7 8;
END_FUZZIFY
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<tr> <td> <center><b>Gauss</b></center> <br>
<img src="images/inVar5.png"><br>
Usage: <b>gauss</b> mean stdev
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<pre>
FUZZIFY inVar5
TERM poor := gauss 2 2;
TERM good := gauss 5 2;
TERM excellent := gauss 8 2;
END_FUZZIFY
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<tr> <td> <center><b>Generalized bell</b></center> <br>
<img src="images/inVar4.png"><br>
Usage: <b>gbell</b> a b mean
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<pre>
FUZZIFY inVar4
TERM poor := gbell 2 4 2;
TERM good := gbell 2 4 5;
TERM excellent := gbell 2 4 8;
END_FUZZIFY
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<tr> <td> <center><b>Sigmoidal</b></center> <br>
<img src="images/inVar6.png"><br>
Usage: <b>sigm</b> gain center
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FUZZIFY inVar6
TERM poor := sigm -4 3;
TERM good := sigm 4 7;
END_FUZZIFY
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<tr> <td> <center><b>Singleton</b></center> <br>
<img src="images/inVar7.png"><br>
Usage: just one number (where singleton value is 1)
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FUZZIFY inVar7
TERM poor := 2;
TERM good := 5;
TERM excellent := 8;
END_FUZZIFY
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<tr> <td> <center><b>Piece-wise linear</b></center> <br>
<img src="images/inVar1.png"><br>
Usage: (x_1, y_1) (x_2, y_2) .... (x_n, y_n)
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<pre>
FUZZIFY inVar1
TERM poor := (0,1) (2, 1) (4, 0) ;
TERM good := (1, 0) (2, 0.5) (3, 0.7) (4,1) (4.5, 1)
(5, 0.6) (6, 0.3) (7, 0.3) (8, 0.8) (9, 0.8) (10,0);
TERM excellent := (6, 0) (9, 1) (10,1);
END_FUZZIFY
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<p style="font-size: 8pt" align=center><font color=#777777> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - </font></p>
<center><b>Author: <a class="body" href="http://www.mcb.mcgill.ca/~pcingola/">Pablo Cingolani</a> (pcingola@users.sourceforge.net</a>)</b></center>
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Key words (for search engines): <br>
Fuzzy logic <br>
Fuzzy logic software <br>
Fuzzy logic package <br>
Fuzzy logic library <br>
Fuzzy logic sourceforge sf.net <br>
Open source <br>
GNU <br>
GPL LGPL <br>
java <br>
Windows Linux OSX <br>
FCL <br>
IEC 1131 <br>
IEC 61131 <br>
IEC 61131 part 7 <br>
IEC 61131-7 <br>
<a href="http://en.wikipedia.org/wiki/Fuzzy_logic">Fuzzy logic Wikipedia</a> <br>
</font>
</center>
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