Ranking of fuzzy numbers based on centroid point and spread

Ahmad Syafadhli Abu Bakar, Alexander Gegov

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Abstract

Centroid and spread are commonly used approaches in ranking fuzzy numbers. Some experts rank fuzzy numbers using centroid or spread alone while others tend to integrate them together. Although a lot of methods for ranking fuzzy numbers that are related to both approaches have been presented, there are still limitations whereby the ranking obtained is inconsistent with human intuition. This paper proposes a novel method for ranking fuzzy numbers that integrates the centroid point and the spread approaches and overcomes the limitations and weaknesses of most existing methods. Proves and justifications with regard to the proposed ranking method are also presented.
Original languageEnglish
Pages (from-to)1179-1186
JournalJournal of Intelligent & Fuzzy Systems
Volume27
Issue number3
Early online date13 Dec 2013
DOIs
Publication statusPublished - 2014

Keywords

  • consistent ranking
  • fuzzy numbers
  • centroid point
  • spread
  • human intuition

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