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title:
 
Ranking of fuzzy numbers based on alpha-distance
publication:
 
EUSFLAT
part of series:
  Advances in Intelligent Systems Research
pages:   770 - 777
DOI:
  To be assigned soon (how to use a DOI)
author(s):
 
S. Khezerloo, T. Allahviranloo, M. Khezerloo
publication date:
 
July 2011
keywords:
 
Metric Distance; Fuzzy Numbers; Ranking.
abstract:
 
This paper presents a new approach to compare fuzzy numbers using -distance. Initially, the metric distance on the interval numbers based on the convex hull of the endpoints is proposed and it is extended to fuzzy numbers. All the properties of the -distance are proved in details. Finally, the ranking of fuzzy numbers by the -distance is discussed. In addition, the proposed method is compared with some known ones, the validity of the new method is illustrated by applying its to several group of fuzzy numbers.
copyright:
 
© Atlantis Press. This article is distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
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