Generalized opening and closure operators of fuzzy relations
|Titel||Generalized opening and closure operators of fuzzy relations|
|Buchtitel||Proc. 2nd Int. ICSC Congress on Computational Intelligence: Methods and Applications (CIMA 2001)|
|Ort||Bangor, Wales, UK|
In this paper, we propose a generalized concept of openness and closedness with respect to arbitrary fuzzy relations, along with appropriate opening and closure operators. We will show that this framework includes the existing concept defined for fuzzy preorderings as well as the triangular norm-based approach to fuzzy mathematical morphology.