Description Usage Arguments Details Value Note Author(s) References See Also Examples

This function calculates the *(\varphi,θ)*-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 *α*-levels of all fuzzy numbers coincide.

1 | ```
Dwablphi(R, S, a = 1, b = 1, theta = 1)
``` |

`R` |
array of dimension |

`S` |
array of dimension |

`a` |
number >0, by default |

`b` |
number >0, by default |

`theta` |
number >0, by default |

See examples

The function returns a matrix of dimension `r x s`

containing the *(\varphi,θ)*-wabl/ldev/rdev distances between the fuzzy numbers of the array `R`

and the fuzzy numbers of the array `S`

.

In case you find (almost surely existing) bugs or have recommendations for improving the functions comments are welcome to the above mentioned mail addresses.

Asun Lubiano <lubiano@uniovi.es>, Sara de la Rosa de Saa <rosasara@uniovi.es>

[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)

`checking`

, `DwablphiTra`

, `Wablphi`

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | ```
# 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)
``` |

```
[,1] [,2] [,3] [,4]
[1,] 5.7334102 7.148418 3.752110 1.084761
[2,] 0.7843838 0.988634 2.584992 5.084093
[3,] 1.1112307 2.502965 3.074500 4.676695
[1] "each fuzzy number should be characterized by means of a matrix with 3 columns: the first column will be the alpha-levels, the second one their infimum values and the third one their supremum values"
[1] "each fuzzy number should be characterized by means of a matrix with 3 columns: the first column will be the alpha-levels, the second one their infimum values and the third one their supremum values"
[1] "the fuzzy numbers of the two arrays must have the same alpha-levels"
Warning message:
In R[, 1, 1] == S[, 1, 1] :
longer object length is not a multiple of shorter object length
```

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