Abstract
Dubois and Prade (1990) [1] introduced the notion of fuzzy rough sets as a fuzzy generalization of rough sets, which was originally proposed by Pawlak (1982) [8]. Later, Radzikowska and Kerre introduced the so-called ( I , T ) -fuzzy rough sets, where I is an implication and T is a triangular norm. In the present paper, by using a pair of implications ( I , J ) , we define the so-called ( I , J ) -fuzzy rough sets, which generalize the concept of fuzzy rough sets in the sense of Radzikowska and Kerre, and that of Mi and Zhang. Basic properties of ( I , J ) -fuzzy rough sets are investigated in detail.
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