On the nearest parametric approximation of a fuzzy number

  • Authors:

  • Efendi N. Nasibov;Sinem Peker

  • Affiliations:

  • Department of Statistics, Faculty of Arts and Sciences, Dokuz Eylul University, Tinaztepe, 35160 Buca, Izmir, Turkey;Department of Statistics, Faculty of Science and Letters, Yasar University, Dyo Campus, 35500 Bornova, Izmir, Turkey

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

Many nearest parametric approximation methods of fuzzy sets are proposed in the literature. It is clear that the specific approximations may lead to the loss of information about fuzziness. To overcome this problem, most of these methods rely on the minimization of the distance between the original fuzzy set and its approximation. But these approximations mostly are not flexible to the decision maker's choice. Hence, in this paper, we offer a parametric fuzzy approximation method based on the decision maker's strategy as an extension of trapezoidal approximation of a fuzzy number. This method comprises the selection of the form of the parametric membership function and its evaluation.