On a new class of distances between fuzzy numbers

• Carlo Bertoluzza ; Norberto Octavio Corral Blanco ^[1] ; Antonia Josefina Salas Riesgo ^[1]
  1. [1] Universidad de Oviedo

     Universidad de Oviedo

     Oviedo, España

     
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 2, Nº. 2, 1995, págs. 71-84
• Idioma: inglés
• Títulos paralelos:
  • Una nueva clase de distancias entre números difusos
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• Dialnet Métricas: 3 Citas
• Resumen

  • 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.