RL {Calculator.LR.FNs}R Documentation

Introducing the form of RL fuzzy number


Considering the definition of LR fuzzy number in LR, it is obvious that (n, \alpha, \beta)RL will be a RL fuzzy number. Function RL introduce a total form for RL fuzzy number to computer.


RL(m, m_l, m_r)



The core of RL fuzzy number


The left spread of RL fuzzy number


The right spread of RL fuzzy number


This function help to users to define any RL fuzzy number after introducing the left shape and the right shape functions L and R. This function consider RL fuzzy number RL(m, m_l, m_r) as a vector with 4 elements. The first three elements are m, m_l and m_r respectively; and the fourth element is considerd equal to 1 for distinguish RL fuzzy number from LR and L fuzzy numbers.


Abbas Parchami


Dubois, D., Prade, H., Fuzzy Sets and Systems: Theory and Applications. Academic Press (1980).

Taheri, S.M, Mashinchi, M., Introduction to Fuzzy Probability and Statistics. Shahid Bahonar University of Kerman Publications, In Persian (2009).


# First introduce left and right shape functions of RL fuzzy number
Left.fun  = function(x)  { (1-x^2)*(x>=0)}
Right.fun = function(x)  { (exp(-x))*(x>=0)}
A = RL(40, 12, 10)
LRFN.plot(A, xlim=c(0,60), col=1)

## The function is currently defined as
function (m, m_l, m_r) 
    c(m, m_l, m_r, 1)

[Package Calculator.LR.FNs version 1.3 Index]