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