On a new class of distances between fuzzy numbers.
Carlo Bertoluzza, Norberto Corral, Antonia Salas (1995)
Mathware and Soft Computing
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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) 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...