A revisited approach to linear fuzzy regression using trapezoidal fuzzy intervals

  • Authors:
  • Amory Bisserier;Reda Boukezzoula;Sylvie Galichet

  • Affiliations:
  • Laboratoire d'Informatique, Systèmes, Traitement de l'Information, et de la Connaissance - LISTIC, Université de Savoie, BP. 80439, 74944 Annecy-le-vieux Cedex, France;Laboratoire d'Informatique, Systèmes, Traitement de l'Information, et de la Connaissance - LISTIC, Université de Savoie, BP. 80439, 74944 Annecy-le-vieux Cedex, France;Laboratoire d'Informatique, Systèmes, Traitement de l'Information, et de la Connaissance - LISTIC, Université de Savoie, BP. 80439, 74944 Annecy-le-vieux Cedex, France

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

Conventional Fuzzy regression using possibilistic concepts allows the identification of models from uncertain data sets. However, some limitations still exist. This paper deals with a revisited approach for possibilistic fuzzy regression methods. Indeed, a new modified fuzzy linear model form is introduced where the identified model output can envelop all the observed data and ensure a total inclusion property. Moreover, this model output can have any kind of spread tendency. In this framework, the identification problem is reformulated according to a new criterion that assesses the model fuzziness independently from the collected data distribution. The potential of the proposed method with regard to the conventional approach is illustrated by simulation examples.