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

Description

Considering the definition of LR fuzzy number in LR, if the left and the right shape functions of a LR fuzzy number are be equal (i.e., L(.) = R(.) ), then LR fuzzy number is a L fuzzy number which denoted by (n, α, β)L . Function L introduce a total form for L fuzzy number to computer.

Usage

 1 L(m, m_l, m_r)

Arguments

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

Value

This function help to users to define any L fuzzy number after introducing the left shape function L. This function consider L fuzzy number L(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 0.5 for distinguish L fuzzy number from LR and RL 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 # First introduce the left shape function of L fuzzy number Left.fun = function(x) { (1-x^2)*(x>=0)} A = L(20, 12, 10) LRFN.plot(A, xlim=c(0,60), col=2, lwd=2) ## The function is currently defined as function (m, m_l, m_r) { c(m, m_l, m_r, 0.5) }

Example output Attaching package: 'Calculator.LR.FNs'

The following object is masked from 'package:base':

sign

function (m, m_l, m_r)
{
c(m, m_l, m_r, 0.5)
}

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