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Rough set theory was developed by Pawlak as a formal tool for approximate reasoning about data. Various fuzzy generalizations of rough approximations have been proposed in the literature. As a further generalization of the notion of rough sets, L-fuzzy rough sets were proposed by Radzikowska and Kerre. In this paper, we present an operator-oriented characterization of L-fuzzy rough sets, that is, L-fuzzy approximation operators are defined by axioms. The methods of axiomatization of L-fuzzydoi:10.1016/j.camwa.2009.03.100 fatcat:g2wal5giy5dhfjnxhptr7u7k5q