Ranking of fuzzy numbers based on centroid point and spread

Article type: Research Article

Authors: Bakar, Ahmad Syafadhli Abu | Gegov, Alexander

Affiliations: School of Computing, University of Portsmouth, Portsmouth, United Kingdom

Note: [] Corresponding author. Ahmad Syafadhli Abu Bakar, School of Computing, University of Portsmouth, PO1 3HE, United Kingdom. Tel.: +44 (0) 23 9284 6412; Fax: +44 (0) 23 9284 6411; E-mail: ahmad.abu-bakar@port.ac.uk

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.

Keywords: Consistent ranking, fuzzy numbers, centroid point, spread, human intuition

DOI: 10.3233/IFS-131082

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 3, pp. 1179-1186, 2014