DSGD {FuzzySTs}

Calculates a distance by the SGD between fuzzy numbers

Description

Calculates a distance by the SGD between fuzzy numbers

Usage

DSGD(X, Y, i = 1, j = 1, breakpoints = 100, theta = 1/3)

Arguments

X

a fuzzy number.

Y

a fuzzy number.

i

parameter of the density function of the Beta distribution, fixed by default to i = 1.

j

parameter of the density function of the Beta distribution, fixed by default to j = 1.

breakpoints

a positive arbitrary integer representing the number of breaks chosen to build the numerical alpha-cuts. It is fixed to 100 by default.

theta

a numerical value between 0 and 1, representing a weighting parameter. By default, theta is fixed to 1/3 referring to the Lebesgue space. This measure is used in the calculations of the following distances: d_Bertoluzza, d_mid/spr and d_phi-wabl/ldev/rdev.

Value

A numerical value.