Wablphi function

$\varphi$-wabl values of a trapezoidal fuzzy sample

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).

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].

Details

See examples

Returns

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

References

[1] 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)

Author(s)

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

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.

See Also

checkingTra, DwablphiTra, Dwablphi, Medianwabl

Examples

# Example 1:
F=SimulCASE4(60)
Wablphi(F,2,1)

# Example 2:
F=matrix(c(1,0,2,3),nrow=1)
Wablphi(F)