Name
Abstract | ||
|---|---|---|
This paper further studies axiomatic characterizations of L-fuzzy rough sets, where L denotes a residuated lattice. Single axioms for upper L-fuzzy rough approximation operators are investigated in two different approaches, which describe upper L-fuzzy approximation operators with ordinary L-fuzzy operations and L-fuzzy product operation, respectively. We characterize upper L-fuzzy rough approximation operators by only one axiom with ordinary L-fuzzy operations, when the L-fuzzy relation is Euclidean as well as the composition of Euclidean with serial (resp. reflexive). We also discuss the single axioms for upper L-fuzzy rough approximation operators with L-fuzzy product operation on arbitrary L-fuzzy relations that are not limited as either general L-fuzzy relations or symmetric L-fuzzy relations. The single axioms for lower L-fuzzy rough approximation operators are discussed with ordinary L-fuzzy operations regardless of the regularity of residuated lattice L. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.fss.2019.04.001 | Fuzzy Sets and Systems |
Keywords | DocType | Volume |
Residuated lattices,L-fuzzy relations,L-fuzzy rough approximation operators,L-fuzzy rough sets | Journal | 380 |
ISSN | Citations | PageRank |
0165-0114 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| chun yong wang | 1 | 109 | 7.28 |
| Xinguang Zhang | 2 | 0 | 0.34 |
| Yonghong Wu | 3 | 212 | 34.70 |