Ranking of fuzzy numbers based on alpha-distance

DOI

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 770
EP  - 777
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.95
DO  - 10.2991/eusflat.2011.95
ID  - Khezerloo2011/08
ER  -