Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1109/TFUZZ.2022.3160326 | IEEE Transactions on Fuzzy Systems |
Keywords | DocType | Volume |
Admissible orders,fuzzy numbers,fuzzy weighted graphs,orders on fuzzy numbers | Journal | 30 |
Issue | ISSN | Citations |
11 | 1063-6706 | 0 |
PageRank | References | Authors |
0.34 | 19 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zumelzu Nicolás | 1 | 0 | 0.34 |
| Benjamín R. C. Bedregal | 2 | 90 | 8.47 |
| Mansilla Edmundo | 3 | 0 | 0.34 |
| Humberto Bustince | 4 | 1938 | 134.10 |
| Díaz Roberto | 5 | 0 | 0.34 |