L-valued Fuzzy Rough Sets

Document Type : Original Manuscript


1 Department of Mathematics, Beijing Forestry University

2 Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China


In this paper, we take a GL-quantale as the truth value table to study a new rough set model—L-valued fuzzy rough sets. The three key components of this model are: an L-fuzzy set A as the universal set, an L-valued relation of A and an L-fuzzy set of A (a fuzzy subset of fuzzy sets). Then L-valued fuzzy rough sets are completely characterized via both constructive and axiomatic approaches. 


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