Fei Li - Department of Mathematics, Beijing Forestry University
Yueli Yue - Department of Mathematics, Ocean University of China, ۲۳۸ Songling Road, ۲۶۶۱۰۰, 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. 

GL-quantale, L-valued Power Set, L-valued Relation, L-valued Fuzzy Rough Set