05248566

j

05248566 Liu, Guilong Generalized rough sets over fuzzy lattices. Inf. Sci. 178, No. 6, 1651-1662 (2008). 2008 Elsevier Science Inc. (North-Holland), New York, NY EN rough sets generalized rough sets fuzzy lattices approximation operators axioms

doi:10.1016/j.ins.2007.11.010

Summary: This paper studies generalized rough sets over fuzzy lattices through both the constructive and axiomatic approaches. From the viewpoint of the constructive approach, the basic properties of generalized rough sets over fuzzy lattices are obtained. The matrix representation of the lower and upper approximations is given. According to this matrix view, a simple algorithm is obtained for computing the lower and upper approximations. As for the axiomatic approach, a set of axioms is constructed to characterize the upper approximation of generalized rough sets over fuzzy lattices.