FuzzyStatTra (version 1.0)

Wablphi:

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

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].

Value

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

Details

See examples

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)

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)