Abstract
Considering L being a frame with an order-reversing involution, three new types of L-fuzzy relations are introduced, which are called mediate, Euclidean and adjoint L-fuzzy relations, respectively. By means of these L-fuzzy relations, three types of L-fuzzy rough approximation operators are constructed and their connections with those three L-fuzzy relations are examined, respectively. An axiomatic approach is adopted to deal with L-fuzzy rough approximation operators. It is shown that each type of L-fuzzy rough approximation operators corresponding to mediate, Euclidean and adjoint L-fuzzy relations as well as their compositions can be characterized by single axioms.
| Original language | English |
|---|---|
| Pages (from-to) | 11433-11446 |
| Number of pages | 14 |
| Journal | Soft Computing |
| Volume | 23 |
| Issue number | 22 |
| DOIs | |
| Publication status | Published - 1 Nov 2019 |
Keywords
- Approximation operator
- Fuzzy rough set
- Rough set