On the nearest parametric approximation of a fuzzy number

Nasibov E., Peker S.

FUZZY SETS AND SYSTEMS, cilt.159, sa.11, ss.1365-1375, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 159 Sayı: 11
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.fss.2007.08.005
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1365-1375
  • Anahtar Kelimeler: fuzzy number, defuzzification, fuzzy distance, nearest approximation, MEAN-VALUE, DEFUZZIFICATION, AGGREGATION, QUANTITY
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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 it, 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. (c) 2007 Elsevier B.V. All rights reserved.