In this paper, we investigate the axiomatic characterizations on L-fuzzy approximation operators based on L-fuzzy generalized neighborhood system operators. In detail, we use single axioms to characterize each kind of L-fuzzy approximation operators corresponding to serial, reflexive, weak-unary and weak-transitive L-fuzzy generalized neighborhood system operators as well as any of their compositions. Moreover, we give the necessary and sufficient condition for that L-interior (L-closure) operators that is the same as L-fuzzy lower (upper) approximation operators constructed by the reflexive and weak-transitive L-fuzzy generalized neighborhood system operators. Finally, we discuss the relationship between L-fuzzy approximation operators based on L-fuzzy generalized neighborhood system operators and L-topologies.

在本文中，我们研究了基于L-模糊广义邻域系统算子的L-模糊逼近算子的公理化特征。详细地，我们使用单一公理来表征与串行，自反，弱一元和弱传递L-模糊广义邻域系统算子及其组成有关的每种L-模糊逼近算子。此外，我们为L-内部（L-闭合）算子给出了与由反身和弱传递L构成的L-模糊下（上）近似算子相同的充要条件。-模糊广义邻域系统运营商。最后，我们讨论了基于L-模糊广义邻域系统算子的L-模糊逼近算子与L-拓扑之间的关系。