摘要
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.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 277-312 |
| 页数 | 36 |
| 期刊 | International Journal of General Systems |
| 卷 | 51 |
| 期 | 3 |
| DOI | |
| 出版状态 | 已出版 - 2022 |