An improved similarity measure for generalized fuzzy numbers and its application to fuzzy risk analysis

Hadi Akbarzade Khorshidi, Sanaz Nikfalazar

Research output: Contribution to journalArticleResearchpeer-review

57 Citations (Scopus)


This paper presents an improved method to compute the degree of similarity between generalized trapezoidal fuzzy numbers. The proposed similarity measure contains many features of fuzzy numbers such as geometric distance, center of gravity (COG), area, perimeter, and height. The previous methods are criticized via presenting some examples. In addition, the performance of the proposed methods is compared by the existing similarity measures using twenty different sets of generalized trapezoidal fuzzy numbers. Furthermore, the proposed method is used for fuzzy risk analysis based on similarity measures. Finally, an example is introduced to illustrate the fuzzy risk analysis.

Original languageEnglish
Pages (from-to)478-486
Number of pages9
JournalApplied Soft Computing
Publication statusPublished - 1 Mar 2017


  • Fuzzy risk analysis
  • Generalized trapezoidal fuzzy numbers
  • Linguistic terms
  • Similarity measure

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