In this paper, L-fuzzy rough sets as a further generalization of the notion of fuzzy rough sets are proposed. Moreover, some properties in lattice ordered effect algebra are presented. A group of approximation operators are defined by the new operation in effect algebra, which is introduced by Zhou X.N., Li Q.G. and Wang G.J. And some equivalent statements in an L-fuzzy approximation space are investigated. Finally, the notion of generalized L-fuzzy relational morphism of lattice effect algebra is introduced and the fundamental properties of it are studied.
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