RL: Introducing the form of RL fuzzy number In Calculator.LR.FNs: Calculator for LR Fuzzy Numbers

Description

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

Usage

 1 RL(m, m_l, m_r)

Arguments

 m The core of RL fuzzy number m_l The left spread of RL fuzzy number m_r The right spread of RL fuzzy number

Value

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

References

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).

Examples

 1 2 3 4 5 6 7 8 9 10 11 # 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) }

Calculator.LR.FNs documentation built on May 2, 2019, 8:25 a.m.