Abstract: By the notion of inner products of L-fuzzy sets, this paper uses only one axiom to describe the upper approximation generated by the L-fuzzy relations, the reflexive and symmetric L-fuzzy relations, respectively.

Key words: L-fuzzy relations, L-fuzzy rough sets, inner products, axioms

摘要： 利用L-模糊集内积的概念分别给出了由L-模糊关系、反身、对称的L-模糊关系生成的L-模糊上近似的唯一公理刻画。

关键词: L-模糊关系, L-模糊粗集, 内积, 公理