Admissible orders on fuzzy numbers
General Mathematics
2021-07-07 v2
Abstract
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, i.e. a total order which refines the partial order. In particular, it is given special attention to the partial order proposed by Klir and Yuan in 1995. Moreover, we propose a method to construct admissible orders on fuzzy numbers in terms of linear orders defined for intervals considering a strictly increasing upper dense sequence, proving that this order is admissible for a given partial order. Finally, we use admissible orders to ranking the path costs in fuzzy weighted graphs.
Cite
@article{arxiv.2003.01530,
title = {Admissible orders on fuzzy numbers},
author = {Nicolás Zumelzu and Benjamin Bedregal and Edmundo Mansilla and Humberto Bustince and Roberto Díaz},
journal= {arXiv preprint arXiv:2003.01530},
year = {2021}
}
Comments
11 pages, 12 figures