Module liba.mf
membership function
Functions
| gauss (x, sigma, c) | gaussian membership function |
| gauss2 (x, sigma1, c1, sigma2, c2) | product of two sigmoidal membership functions |
| gbell (x, a, b, c) | generalized bell-shaped membership function |
| sig (x, a, c) | sigmoidal membership function |
| dsig (x, a1, c1, a2, c2) | difference between two sigmoidal membership functions |
| psig (x, a1, c1, a2, c2) | product of two sigmoidal membership functions |
| trap (x, a, b, c, d) | trapezoidal membership function |
| tri (x, a, b, c) | triangular membership function |
| lins (x, a, b) | linear s-shaped saturation membership function |
| linz (x, a, b) | linear z-shaped saturation membership function |
| s (x, a, b) | s-shaped membership function |
| z (x, a, b) | z-shaped membership function |
| pi (x, a, b, c, d) | z-shaped membership function |
| mf (e, x, ...) | membership function |
Tables
| mf | enumeration for membership function |
Functions
- gauss (x, sigma, c)
-
gaussian membership function
Parameters:
- x number input value for which to compute membership value.
- sigma number is the standard deviation.
- c number is the mean.
Returns:
-
number
membership value.
- gauss2 (x, sigma1, c1, sigma2, c2)
-
product of two sigmoidal membership functions
Parameters:
- x number input value for which to compute membership value.
- sigma1 number is the standard deviation of the left gaussian function.
- c1 number is the mean of the left gaussian function.
- sigma2 number is the standard deviation of the right gaussian function.
- c2 number is the mean of the right gaussian function.
Returns:
-
number
membership value.
- gbell (x, a, b, c)
-
generalized bell-shaped membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines the width of the membership function, where a larger value creates a wider membership function.
- b number defines the shape of the curve on either side of the central plateau, where a larger value creates a more steep transition.
- c number defines the center of the membership function.
Returns:
-
number
membership value.
- sig (x, a, c)
-
sigmoidal membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines the width of the transition area.
- c number defines the center of the transition area.
Returns:
-
number
membership value.
- dsig (x, a1, c1, a2, c2)
-
difference between two sigmoidal membership functions
Parameters:
- x number input value for which to compute membership value.
- a1 number defines the width of the first transition area.
- c1 number defines the center of the first transition area.
- a2 number defines the width of the second transition area.
- c2 number defines the center of the second transition area.
Returns:
-
number
membership value.
- psig (x, a1, c1, a2, c2)
-
product of two sigmoidal membership functions
Parameters:
- x number input value for which to compute membership value.
- a1 number defines the width of the first transition area.
- c1 number defines the center of the first transition area.
- a2 number defines the width of the second transition area.
- c2 number defines the center of the second transition area.
Returns:
-
number
membership value.
- trap (x, a, b, c, d)
-
trapezoidal membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines its left foot.
- b number defines its left shoulder.
- c number defines its right shoulder.
- d number defines its right foot.
Returns:
-
number
membership value.
- tri (x, a, b, c)
-
triangular membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines its left foot.
- b number defines its peak.
- c number defines its right foot.
Returns:
-
number
membership value.
- lins (x, a, b)
-
linear s-shaped saturation membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines its foot.
- b number defines its shoulder.
Returns:
-
number
membership value.
- linz (x, a, b)
-
linear z-shaped saturation membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines its shoulder.
- b number defines its foot.
Returns:
-
number
membership value.
- s (x, a, b)
-
s-shaped membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines its foot.
- b number defines its shoulder.
Returns:
-
number
membership value.
- z (x, a, b)
-
z-shaped membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines its shoulder.
- b number defines its foot.
Returns:
-
number
membership value.
- pi (x, a, b, c, d)
-
z-shaped membership function
Parameters:
- x number input value for which to compute membership value.
- a number defines its left foot.
- b number defines its left shoulder.
- c number defines its right shoulder.
- d number defines its right foot.
Returns:
-
number
membership value.
- mf (e, x, ...)
-
membership function
Parameters:
- e int type for membership function
- x number input value for which to compute membership value.
- ... number is an array that stores parameters.
Returns:
-
number
membership value.
Tables
- mf
-
enumeration for membership function
Fields:
- NUL none
- GAUSS gaussian membership function
- GAUSS2 gaussian combination membership function
- GBELL generalized bell-shaped membership function
- SIG sigmoidal membership function
- DSIG difference between two sigmoidal membership functions
- PSIG product of two sigmoidal membership functions
- TRAP trapezoidal membership function
- TRI triangular membership function
- LINS linear s-shaped saturation membership function
- LINZ linear z-shaped saturation membership function
- S s-shaped membership function
- Z z-shaped membership function
- PI pi-shaped membership function