# 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.