In this paper, we provide a definition of α-fuzzified lower and upper approximations for fuzzy sets based on the α-cut of fuzzy binary relations. We show that the definition is a proper generalization of the previous one for approximations of crisp sets and compare it with an existing definition in the context of fuzzy tolerance relation.
|Number of pages||13|
|Journal||International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems|
|State||Published - Apr 1 2020|
- Fuzzy rough sets
- fuzzy relations
- fuzzy sets
- rough sets