An Interval Approach for Fuzzy Linear Regression with Imprecise Data

نویسندگان

  • Amory Bisserier
  • Reda Boukezzoula
  • Sylvie Galichet
چکیده

In this paper, a revisited approach for fuzzy regression linear model representation and identification is introduced. By adopting the commonly used principle of D-cuts, the fuzzy regression implementation is reduced to the handling of conventional intervals, for inputs, parameters and outputs. Using the Midpoint-Radius representation of intervals, the uncertainty attached to linear models becomes more interpretable. Actually, it is possible to determine the output uncertainty origin (model parameters and/or inputs). In this context, a possibilistic regression method is proposed to identify models of minimal global uncertainty, that is with respect to all possible inputs.

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تاریخ انتشار 2009