Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Ranking of fuzzy numbers based on alpha-distance

Authors
Saeid Khezerloo, Tofigh Allahviranloo, Masoume Khezerloo
Corresponding Author
Saeid Khezerloo
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.95How to use a DOI?
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.
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
DOI
https://doi.org/10.2991/eusflat.2011.95How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Saeid Khezerloo
AU  - Tofigh Allahviranloo
AU  - Masoume Khezerloo
PY  - 2011/08
DA  - 2011/08
TI  - Ranking of fuzzy numbers based on alpha-distance
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 770
EP  - 777
UR  - https://doi.org/10.2991/eusflat.2011.95
DO  - https://doi.org/10.2991/eusflat.2011.95
ID  - Khezerloo2011/08
ER  -