Abstract
In this paper, considering L being a complete residuated lattice, we first introduce the concept of mediate L-fuzzy relations and give its characterizations by L-fuzzy upper and lower rough approximation operators. Then we provide an axiomatic approach to characterize L-fuzzy rough sets by L-fuzzy unions and L-fuzzy intersections. Concretely, we present axiomatic characterizations of L-fuzzy rough sets with respect to serial, reflexive, symmetric, transitive, mediate and Euclidean L-fuzzy relations. Finally, we give characterizations of L-fuzzy upper (lower) rough approximation operators by L-closure (interior) operators from a categorical aspect.
| Original language | English |
|---|---|
| Pages (from-to) | 277-312 |
| Number of pages | 36 |
| Journal | International Journal of General Systems |
| Volume | 51 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2022 |
Keywords
- L-closure space
- L-fuzzy intersection
- L-fuzzy relation
- L-fuzzy rough set
- L-fuzzy union
- L-interior space