On a new class of distances between fuzzy numbers.

Bertoluzza, Carlo, Corral, Norberto, and Salas, Antonia. "On a new class of distances between fuzzy numbers.." Mathware and Soft Computing 2.2 (1995): 71-84. <http://eudml.org/doc/39054>.

@article{Bertoluzza1995,
abstract = {In the course of the studies on fuzzy regression analysis, we encountered the problem of introducing a distance between fuzzy numbers, which replaces the classical (x - y)2 on the real line. Our proposal is to compute such a function as a suitable weighted mean of the distances between the α-cuts of the fuzzy numbers. The main difficulty is concerned with the definition of the distance between intervals, since the current definitions present some disadvantages which are undesirable in our context. In this paper we describe an approach which removes such drawbacks.},
author = {Bertoluzza, Carlo, Corral, Norberto, Salas, Antonia},
journal = {Mathware and Soft Computing},
keywords = {Números difusos; Conjuntos difusos; Análisis de regresión; Distancias estadísticas; Regresión lineal; topological equivalence; distances between fuzzy numbers; fuzzy statistical regression},
language = {eng},
number = {2},
pages = {71-84},
title = {On a new class of distances between fuzzy numbers.},
url = {http://eudml.org/doc/39054},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Bertoluzza, Carlo
AU - Corral, Norberto
AU - Salas, Antonia
TI - On a new class of distances between fuzzy numbers.
JO - Mathware and Soft Computing
PY - 1995
VL - 2
IS - 2
SP - 71
EP - 84
AB - In the course of the studies on fuzzy regression analysis, we encountered the problem of introducing a distance between fuzzy numbers, which replaces the classical (x - y)2 on the real line. Our proposal is to compute such a function as a suitable weighted mean of the distances between the α-cuts of the fuzzy numbers. The main difficulty is concerned with the definition of the distance between intervals, since the current definitions present some disadvantages which are undesirable in our context. In this paper we describe an approach which removes such drawbacks.
LA - eng
KW - Números difusos; Conjuntos difusos; Análisis de regresión; Distancias estadísticas; Regresión lineal; topological equivalence; distances between fuzzy numbers; fuzzy statistical regression
UR - http://eudml.org/doc/39054
ER -