Dwablphi {FuzzyStatTra} | R Documentation |
(\varphi,\theta)
-wabl/ldev/rdev distance between fuzzy numbers
Description
This function calculates the (\varphi,\theta)
-wabl/ldev/rdev distance between the fuzzy numbers contained in two arrays, which should be given in the desired format. For this, the function first checks if the input arrays R
and S
are in the correct form (tested by checking
) and if the \alpha
-levels of all fuzzy numbers coincide.
Usage
Dwablphi(R, S, a = 1, b = 1, theta = 1)
Arguments
R |
array of dimension |
S |
array of dimension |
a |
number >0, by default |
b |
number >0, by default |
theta |
number >0, by default |
Details
See examples
Value
The function returns a matrix of dimension r x s
containing the (\varphi,\theta)
-wabl/ldev/rdev distances between the fuzzy numbers of the array R
and the fuzzy numbers of the array S
.
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
checking
, DwablphiTra
, Wablphi
Examples
# Example 1:
F=SimulCASE1(3)
S=SimulCASE1(4)
F=TransfTra(F)
S=TransfTra(S)
Dwablphi(F,S,2,1,1)
# Example 2:
F=SimulCASE1(10)
S=SimulCASE1(10)
Dwablphi(F,S)
# Example 3:
F=SimulCASE1(10)
S=SimulCASE1(10)
F=TransfTra(F)
S=TransfTra(S,50)
Dwablphi(F,S,2,1,1)