Membership functions
There are several membership functions. Mainly two sub classes:
Continuous and
Discrete. One variable can only have Continuous or Discrete membership functions.
Usage, examples, and FCL:
Triangular
Usage: trian min mid max
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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Trapetzoidal
Usage: trape min midLow midHigh max
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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Gauss
Usage: gauss mean stdev
FUZZIFY inVar5
TERM poor := gauss 2 2;
TERM good := gauss 5 2;
TERM excellent := gauss 8 2;
END_FUZZIFY
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Generalized bell
Usage: gbell a b mean
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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Sigmoidal
Usage: sigm gain center
FUZZIFY inVar6
TERM poor := sigm -4 3;
TERM good := sigm 4 7;
END_FUZZIFY
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Singleton
Usage: just one number (where singleton value is 1)
FUZZIFY inVar7
TERM poor := 2;
TERM good := 5;
TERM excellent := 8;
END_FUZZIFY
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Piece-wise linear
Usage: (x_1, y_1) (x_2, y_2) .... (x_n, y_n)
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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Author: Pablo Cingolani (pcingola@users.sourceforge.net)
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