Fuzzy closure systems on L-ordered sets

摘要

In this paper, notions of fuzzy closure system and fuzzy closure L-system on L-ordered sets are introduced from the fuzzy point of view. We first explore the fundamental properties of fuzzy closure systems. Then the correspondence between fuzzy closure systems (fuzzy closure L-systems) and fuzzy closure operators is established. Finally, we study the connections between fuzzy closure systems and fuzzy Galois connections.