Var {FuzzyStatTra} | R Documentation |
Variance of a trapezoidal fuzzy sample
Description
Given a sample of trapezoidal fuzzy numbers contained in a matrix F
, the function calculates the variance of these numbers with respect to the mid/spr distance. The function first checks if the input matrix F
is given in the correct form (tested by checkingTra
).
Usage
Var(F, a = 1, b = 1, theta = 1/3)
Arguments
F |
matrix of dimension |
a |
number >0, by default |
b |
number >0, by default |
theta |
number >0, by default |
Details
See examples
Value
The function returns the variance of the sample with respect to the mid/spr distance, which is a real number.
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.
Author(s)
Asun Lubiano <lubiano@uniovi.es>, Sara de la Rosa de Saa <rosasara@uniovi.es>
References
[1] De la Rosa de Saa, S.; Lubiano M.A.; Sinova, B.; Filzmoser, P.: Robust scale estimators for fuzzy data, Advances in Data Analysis and Classification, pp. 1-28 (2015)
See Also
checkingTra
, Mean
, DthetaphiTra
Examples
# Example 1:
F=SimulCASE1(10)
Var(F,1,1,1)
# Example 2:
F=matrix(c(1,0,2,3),nrow=1)
Var(F)