期刊
INFORMATION SCIENCES
卷 180, 期 4, 页码 532-542出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2009.10.010
关键词
Rough sets; Fuzzy rough sets; Fuzzy implication; Involutive; Tolerance relation
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. (C) 2009 Elsevier Inc. All rights reserved.
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