Journal
APPLIED MATHEMATICAL MODELLING
Volume 31, Issue 11, Pages 2589-2598Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2006.10.018
Keywords
defuzzification; fuzzy number; ranking; distance minimization
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In this paper, we proposed a defuzzification using minimizer of the distance between the two fuzzy numbers. Then, we obtain the nearest point with respect to a fuzzy numbers and by considering the nearest point, we can present a ranking method for the fuzzy numbers. Also we give two new properties for ordering. Theorems and remarks are proposed for existence and uniqueness of the nearest point. The method is illustrated by numerical examples and compared with other methods. (c) 2006 Elsevier Inc. All rights reserved.
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