  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.
