# SimulCASE3: Simulation of trapezoidal fuzzy numbers CASE 3 In FuzzyStatTra: Statistical Methods for Trapezoidal Fuzzy Numbers

## Description

This function generates n trapezoidal fuzzy numbers from an asymmetric distribution and with independent components (for a detailed explanation of the simulation see the paper [1] below, namely, the Case 3 for noncontaminated samples).

## Usage

 1 SimulCASE3(n) 

## Arguments

 n positive integer. It is the number of trapezoidal fuzzy numbers to be generated.

See examples

## Value

This function returns n trapezoidal fuzzy numbers contained in a matrix of dimension n x 4. Each trapezoidal fuzzy number is characterized by its four values inf0,inf1,sup1,sup0.

## Note

In case you find (almost surely existing) bugs or have recommendations for improving the functions comments are welcome to the above mentioned mail addresses.

## Author(s)

Asun Lubiano <lubiano@uniovi.es>, Sara de la Rosa de Saa <rosasara@uniovi.es>

## References

[1] Sinova, B.; Gil, M.A.; Van Aelst, S.: M-estimates of location for the robust central tendency of fuzzy data, IEEE Transactions on Fuzzy Systems 24(4), pp. 945-956 (2016)

SimulCASE1, SimulCASE2, SimulCASE4, SimulFRSTra

## Examples

 1 2 # Example 1: SimulCASE3(10) 

### Example output

           [,1]      [,2]      [,3]      [,4]
[1,] 0.6598743 0.8100530 0.9688191 0.9705352
[2,] 0.6435744 0.7435149 0.7674654 0.9857679
[3,] 0.5147990 0.7847772 0.8000373 0.9073379
[4,] 0.7846634 0.8394998 0.8509577 0.9521013
[5,] 0.6597797 0.7396991 0.7651766 0.8233143
[6,] 0.7618405 0.8262728 0.9891296 0.9937523
[7,] 0.7036337 0.7757323 0.9579194 0.9753629
[8,] 0.6761670 0.7888775 0.8394605 0.9880019
[9,] 0.3966466 0.7124933 0.7922311 0.9605450
[10,] 0.7310459 0.7340542 0.8106611 0.8745793


FuzzyStatTra documentation built on May 2, 2019, 10:59 a.m.