On a new class of distances between fuzzy numbers

  1. Bertoluzza, Carlo
  2. Corral Blanco, Norberto Octavio 1
  3. Salas Riesgo, Antonia Josefina 1
  1. 1 Universidad de Oviedo
    info

    Universidad de Oviedo

    Oviedo, España

    ROR https://ror.org/006gksa02

Journal:
Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

ISSN: 1134-5632

Year of publication: 1995

Volume: 2

Issue: 2

Pages: 71-84

Type: Article

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More publications in: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

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 a-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.

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