Calculates the sample variance by a convenient metric
Sample.variance(
data.fuzzified,
dist.type,
i = 1,
j = 1,
theta = 1/3,
thetas = 1,
p = 2,
q = 0.5,
breakpoints = 100
)A numerical value.
a fuzzification matrix constructed by a call to the function FUZZ or the function GFUZZ, or a similar matrix. No NA are allowed.
type of distance chosen from the family of distances. The different choices are given by: "Rho1", "Rho2", "Bertoluzza", "Rhop", "Delta.pq", "Mid/Spr", "wabl", "DSGD", "DSGD.G", "GSGD".
parameter of the density function of the Beta distribution, fixed by default to i = 1.
parameter of the density function of the Beta distribution, fixed by default to j = 1.
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.
a decimal value between 0 and 1, representing the weight given to the shape of the fuzzy number. By default, thetas is fixed to 1. This parameter is used in the calculations of the d_theta star and the d_GSGD distances.
a positive integer such that 1 \(\le\) p < infinity, referring to the parameter of the Rho_p and Delta_pq. By default, p is fixed to 2.
a decimal value between 0 and 1, referring to the parameter of the metric Delta_pq. By default, q is fixed to 0.5.
a positive arbitrary integer representing the number of breaks chosen to build the numerical alpha-cuts. It is fixed to 100 by default.