FuzzyStatTra (version 1.0)

DwablphiTra:

Description

This function calculates the \((\varphi,\theta)\)-wabl/ldev/rdev distance between the trapezoidal fuzzy numbers contained in two matrixes, which should be given in the desired format. For this, the function first checks if the input matrixes R and S are in the correct form (tested by checkingTra).

Usage

DwablphiTra(R, S, a = 1, b = 1, theta = 1)

Arguments

R

matrix of dimension r x 4 containing r trapezoidal fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0. The function first calls checkingTra to check if the matrix R has the correct format.

S

matrix of dimension s x 4 containing s trapezoidal fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0. The function first calls checkingTra to check if the matrix S has the correct format.

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].

theta

number >0, by default theta=1. It is the weight of the ldev and rdev in the \((\varphi,\theta)\)-wabl/ldev/rdev distance.

Value

The function returns a matrix of dimension r x s containing the \((\varphi,\theta)\)-wabl/ldev/rdev distances between the trapezoidal fuzzy numbers of the matrix R and the trapezoidal fuzzy numbers of the matrix S.

Details

See examples

References

[1] Sinova, B.; de la Rosa de Saa, S.; Gil, M.A.: A generalized L1-type metric between fuzzy numbers for an approach to central tendency of fuzzy data, Information Sciences 242, pp. 22-34 (2013) [2] 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)

See Also

checkingTra, Dwablphi, Wablphi

Examples

# Example 1:
F=SimulCASE1(10)
S=SimulCASE1(20)
DwablphiTra(F,S,5,1,1)


# Example 2:
F=matrix(c(1,1,0,2,3,4,5,6),nrow=2)
S=SimulCASE1(8)
DwablphiTra(F,S)