Medianwabl {FuzzyStatTra} | R Documentation |
\varphi
-wabl/ldev/rdev median of a trapezoidal fuzzy sample
Description
Given a sample of trapezoidal fuzzy numbers contained in a matrix F
, the function calculates the \varphi
-wabl/ldev/rdev median of these numbers, characterized by means of nl
equidistant \alpha
-levels (by default nl
=101), including always the 0 and 1 levels, with their infimum and supremum values. The function first checks if the input matrix F
is given in the correct form (tested by checkingTra
).
Usage
Medianwabl(F, nl = 101, a = 1, b = 1)
Arguments
F |
matrix of dimension |
nl |
positive integer, by default |
a |
number >0, by default |
b |
number >0, by default |
Details
See examples
Value
The function returns the \varphi
-wabl/ldev/rdev median, given by an array of dimension nl x 3 x 1
where nl
is the number of considered \alpha
-levels and 3 the number of columns of the array: the first column will be the \alpha
-levels, the second one their infimum values and the third one their supremum values.
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] 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
, DwablphiTra
, Dwablphi
, Wablphi
, Median1norm
Examples
# Example 1:
F=SimulCASE1(10)
Medianwabl(F,3)
# Example 2:
F=matrix(c(1,0,2,3),nrow=1)
Medianwabl(F)