There are two different perspectives to study single axioms for (S, T)-fuzzy rough approximation operators, that is, ordinary fuzzy operations and fuzzy product operations. However, it is too complex and tedious to characterize (S, T)-fuzzy rough approximation operators with ordinary fuzzy operations, such as intersection, union and so on. To remedy these defects, this paper further investigates single axioms for (S, T)-fuzzy rough approximation operators with fuzzy product operations, where fuzzy relation is not limited into either a general fuzzy relation or a symmetric one. Considering a left-continuous t-norm T, we describe T-upper fuzzy rough approximation operators with fuzzy product operations by only one axiom. When t-conorm S is right-continuous and fuzzy negation N is strict, S-lower fuzzy rough approximation operators are characterized with fuzzy product operations by a single axiom.

研究（S，  T）-模糊粗糙近似算子的单个公理有两种不同的观点，即普通模糊运算和模糊乘积运算。但是，用普通的模糊运算（如交集，并集等）来表征（S，  T）-模糊粗糙逼近算符过于复杂和乏味。为了弥补这些缺陷，本文进一步研究了具有模糊乘积运算的（S，  T）-模糊粗糙近似算子的单公理，其中，模糊关系不限于一般模糊关系或对称关系。考虑左连续t范数T，我们描述T-只有一个公理的带有模糊乘积运算的上模糊粗略逼近算子。当t-conorm S为右连续且模糊取反N为严格条件时，S-下层模糊粗略近似算子具有由单个公理表示的模糊积运算。