4.7 Article

Revision of distance minimization method for ranking of fuzzy numbers

Journal

APPLIED MATHEMATICAL MODELLING
Volume 35, Issue 3, Pages 1306-1313

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2010.09.007

Keywords

Defuzzification; Fuzzy number; Ranking; Distance minimization; Epsilon - neighborhood

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Asady and Zendehnam employed distance minimization to ranking fuzzy numbers in Ref [1]. Then Abbasbandy and Hajjari in [2] found a problem of its. To overcome it problem, they proposed magnitude method to ranking fuzzy numbers. Unfortunately, their method can not to overcome this problem. In this paper, we want to indicate this problem and then propose a revise method of distance minimization method which can avoid problem for ranking fuzzy numbers. Since the revised method is based on the distance minimization method, it is easy to rank fuzzy numbers in a way similar to the original method. (C) 2010 Elsevier Inc. All rights reserved.

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