Fuzzy risk analysis based on a geometric ranking method for generalized trapezoidal fuzzy numbers

AKYAR E., AKYAR H., DÜZCE S. A.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.25, sa.1, ss.209-217, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3233/ifs-2012-0628
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.209-217
  • Anahtar Kelimeler: Generalized trapezoidal fuzzy numbers, ranking fuzzy numbers, fuzzy risk analysis, REASONABLE PROPERTIES, REVISED METHOD, HEIGHTS
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this study, we present a new method for ranking generalized trapezoidal fuzzy numbers based on the incenter and inradius of a triangle. The proposed method is simple and easy to apply to real life problems. The method can also rank crisp numbers and fuzzy numbers with the same centroid point. Some comparative examples are also given to illustrate the advantages of the proposed method. Based on the proposed ranking method, we also give an application to the fuzzy risk analysis problem.