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title:
 
Ranking fuzzy numbers using fuzzy maximizing-minimizing points
publication:
 
EUSFLAT
part of series:
  Advances in Intelligent Systems Research
pages:   763 - 769
DOI:
  To be assigned soon (how to use a DOI)
author(s):
 
S. Salahshour, S. Abbasbandy, T. Allahviranloo
publication date:
 
July 2011
keywords:
 
Fuzzy numbers, Fuzzy maximizingminimizing points, Ranking, Center of gravity (COG) point, Aggregation.
abstract:
 
Up to now, several approaches have been proposed for ranking of fuzzy numbers using maximizing set and minimizing sets. Often, the reference points are created by real numbers. In this paper, we proposed new reference points so called fuzzy maximizing-minimizing points. To this purpose, we used the center of gravity of fuzzy numbers and their left/right spreads to construct such fuzzy points. Moreover, we suggested a new aggregation function with pessimistic/optimistic structure for a set of fuzzy numbers. Also, some examples are given to show the ability of proposed ranking approach and the related aggregation function.
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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