genmf: Fuzzy membership function generator
In FuzzyR: Fuzzy Logic Toolkit for R

Description Usage Arguments Details Value Author(s) Examples

To generate the corresponding membership function f(x), also called fuzzy set, according to type and parameters

1	genmf(mf.type, mf.params)

`mf.type`	The membership function type
`mf.params`	The parameters for a membership function

Built-in membership function types are: 'gbellmf', 'it2gbellmf', 'singletonmf', 'linearmf', 'gaussmf', 'trapmf', 'trimf'.

mf.params for

'gbellmf' is c(a, b, c), where a denotes the width, b is usually positive and c locates the center of the curve.
'it2gbellmf' is c(a.lower, a.upper, b, c), where a.upper > a.lower when b > 0 and a.upper < a.lower when b < 0
'singletonmf' is c(c), where c is the location where the membership grade is 1.
'linearmf' is c(...), which are the coefficients of the linear membership function.
'gaussmf' is c(sig, c), which are the parameters for exp(-(x - c)^2/(2 * sig^2)).
'trapmf' is c(a, b, c, d), where a and d locate the "feet" of the trapezoid and b and c locate the "shoulders".
'trimf' is c(a, b, c), where a and c locate the "feet" of the triangle and b locates the peak.

Note that users are able to define their own membership functions.

The desired type of membership function f(x), where x is a generic element of U, which is the universe of discourse for a fuzzy set

Chao Chen

1 2	mf <- genmf('gbellmf', c(1,2,3)) evalmf(1:10, mf)

              [,1]
 [1,] 0.0588235294
 [2,] 0.5000000000
 [3,] 1.0000000000
 [4,] 0.5000000000
 [5,] 0.0588235294
 [6,] 0.0121951220
 [7,] 0.0038910506
 [8,] 0.0015974441
 [9,] 0.0007710100
[10,] 0.0004163197