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, vol.25, no.1, pp.209-217, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.3233/ifs-2012-0628
  • Journal Name: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.209-217
  • Keywords: Generalized trapezoidal fuzzy numbers, ranking fuzzy numbers, fuzzy risk analysis, REASONABLE PROPERTIES, REVISED METHOD, HEIGHTS
  • Anadolu University Affiliated: Yes

Abstract

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.