Admissible Orders on Fuzzy Numbers
Diaz, Roberto
- 1
- 2Universidade Federal do Rio Grande do Norte
- 3Universidad Publica de Navarra
- 4Universidad de Los Lagos
Journal
ieee transactions on fuzzy systems
ISSN
1063-6706
1941-0034
Open Access
green
Volume
30
Start page
4788
End page
4799
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this article, 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.