Fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights

Shyi Ming Chen*, Abdul Munif, Guey Shya Chen, Hsiang Chuan Liu, Bor Chen Kuo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

121 Citations (Scopus)

Abstract

In this paper, we present a new method for fuzzy risk analysis based on the proposed new fuzzy ranking method for ranking generalized fuzzy numbers with different left heights and right heights. First, we present a fuzzy ranking method for ranking generalized fuzzy numbers with different left heights and right heights. The proposed method considers the areas of the positive side, the areas of the negative side and the centroid values of generalized fuzzy numbers as the factors for calculating the ranking scores of generalized fuzzy numbers with different left heights and right heights. It can overcome the drawbacks of the existing fuzzy ranking methods. Then, we propose a new method for fuzzy risk analysis based on the proposed fuzzy ranking method, where the evaluating values are represented by generalized fuzzy numbers. The proposed fuzzy risk analysis method provides us with a useful way for fuzzy risk analysis based on generalized fuzzy numbers with different left heights and right heights.

Original languageEnglish
Pages (from-to)6320-6334
Number of pages15
JournalExpert Systems with Applications
Volume39
Issue number7
DOIs
Publication statusPublished - 1 Jun 2012
Externally publishedYes

Keywords

  • Fuzzy risk analysis
  • Generalized fuzzy numbers
  • Left heights
  • Ranking order
  • Ranking scores
  • Right heights

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