Name
Abstract | ||
|---|---|---|
In this paper, we make some considerations about admissible orders on the set of closed subintervals of the unit interval I[0,1], i.e. linear orders that refine the product order on intervals. We propose a new way to generate admissible orders on I[0,1] which is more general than those we find in the current literature. Also, we deal with the possibility of an admissible order on I[0,1] to be isomorphic to the usual order on [0,1]. We prove that some orders constructed by our method are not isomorphic to the usual one and we make some considerations about the following question: is there some admissible order on I[0,1] isomorphic to the usual order on [0,1]? |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.fss.2020.02.009 | Fuzzy Sets and Systems |
Keywords | DocType | Volume |
Interval-valued fuzzy sets,Order isomorphism,Admissible order,Cantor's bijection | Journal | 399 |
ISSN | Citations | PageRank |
0165-0114 | 2 | 0.37 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fágner L. Santana | 1 | 4 | 2.56 |
| Benjamín C. Bedregal | 2 | 755 | 51.96 |
| Petrucio Viana | 3 | 35 | 4.85 |
| Humberto Bustince | 4 | 1938 | 134.10 |