LRFN.plot {Calculator.LR.FNs}

Plotting and drawing LR fuzzy numbers

Description

By this function one can plot and draw any kind of LR, RL and L fuzzy numbers.

Usage

LRFN.plot(M, Left.fun = NULL, Right.fun = NULL, ... )

Arguments

M

A LR, RL or L fuzzy number

Left.fun

The left-shape function which usually defined before using LRFN.plot (see examples in bellow)

Right.fun

The right-shape function which usually defined before using LRFN.plot (see examples in bellow)

...

Any argument of curve() function, such as xlim, ylim, lwd, lty, col, add and ... is acceptable for this function

Details

Befor useing "LRFN.plot" function, first define the left shape and the right shape functions of LR fuzzy number. Also, xlim argument must (is better to) be defined for the first fuzzy number.

Author(s)

Abbas Parchami

Examples

# Example 1:
# First introduce left-side and right-side functions of LR fuzzy number
Left.fun  = function(x)  { (1-x^2)*(x>=0)}
Right.fun = function(x)  { (exp(-x))*(x>=0)}
A = LR(20, 12, 10)
LRFN.plot(A, xlim=c(0,60), col=1)
LRFN.plot(A, lty=2, lwd=3, col=2, add=TRUE)


# Example 2:
# for first LR fuzzy number:
Left.fun  = function(x)  { (1-x^2)*(x>=0)}
Right.fun = function(x)  { (exp(-x))*(x>=0)}
LRFN.plot( LR(17,5,3), xlim=c(5,40), lwd=2, lty=2, col=2) 

# for second LR fuzzy number:
Left.fun  = function(x)  { (1/(1+x^2))*(x>=0)}
Right.fun = function(x)  { (1/(1+(2*abs(x))))*(x>=0)}
LRFN.plot( RL(20,2,3), lwd=2, col=1, add=TRUE)

# for third LR fuzzy number:
Left.fun  = function(x)  { (1-x)*(x>=0)}
LRFN.plot( L(30,15,5), lwd=2, lty=3, col=4, add=TRUE)
legend( "topright", c("LR(17, 5, 3)", "RL(20, 2, 3)", "L(30, 15, 5)"), col = c(2, 1, 4)
     , text.col = 1, lwd = c(2,2,2), lty = c(2, 1, 3) )


## The function is currently defined as
function (M, Left.fun = NULL, Right.fun = NULL, ...) 
{
if ( messages(M) != 1 )  { return( messages(M) ) }

m = M[1]
m_l = M[2]
m_r = M[3]

x <- NULL

if ( M[4] == 0 ) { y = function(x) Left.fun((m-x)/m_l) * (x<=m) + Right.fun((x-m)/m_r) * (m<x) }
 else if (M[4]==1) { y = function(x) Right.fun((m-x)/m_l) * (x<=m) + Left.fun((x-m)/m_r) * (m<x) }
 else if (M[4]==0.5) { y = function(x) Left.fun((m-x)/m_l) * (x<=m) + Left.fun((x-m)/m_r) * (m<x)}
 else{return(noquote(paste0("The fourth element of each LR fuzzy number must be 0 or 0.5 or 1!")))}

return( curve(y(x) * (0<=y(x) & y(x)<=1), ...) )
 }