# Wablphi: \varphi-wabl values of a trapezoidal fuzzy sample In FuzzyStatTra: Statistical Methods for Trapezoidal Fuzzy Numbers

## Description

Given a sample of trapezoidal fuzzy numbers contained in a matrix F, the function calculates the \varphi-wabl value for each of these numbers. The function first checks if the input matrix F is given in the correct form (tested by checkingTra).

## Usage

 1 Wablphi(F, a = 1, b = 1) 

## Arguments

 F matrix of dimension n x 4 containing n trapezoidal fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0. The function implicitly checks if the matrix is in the correct form (tested by checkingTra). a number >0, by default a=1. It is the first parameter of a beta distribution which corresponds to a weighting measure on [0,1]. b number >0, by default b=1. It is the second parameter of a beta distribution which corresponds to a weighting measure on [0,1].

See examples

## Value

The function returns a vector giving the \varphi-wabl values of each trapezoidal fuzzy number.

## 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

 Sinova, B.; Gil, M.A.; Lopez, M.T.; Van Aelst, S.: A parameterized L2 metric between fuzzy numbers and its parameter interpretation, Fuzzy Sets and Systems 245, pp. 101-115 (2014)

## See Also

checkingTra, DwablphiTra, Dwablphi, Medianwabl

## Examples

 1 2 3 4 5 6 7 # Example 1: F=SimulCASE4(60) Wablphi(F,2,1) # Example 2: F=matrix(c(1,0,2,3),nrow=1) Wablphi(F) 

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