A Rough Concept Lattice Model of Variable Precision

Classical formal concept analysis can´t deal with rough and uncertain information, so the research on rough concept lattice and information express has important significance. There is an interesting relationship between approximate space and concept lattice in the rough set theory. The upper-lower approximation and variable precision in rough set theory are introduced into concept lattice, this paper proposes a rough concept lattice model of variable precision. Two parameters beta₁ and beta₂ are adopted to represent the roughness of the objects and attributes respectively in a rough concept and the approximate mapping between objected set and attribute set is defined by changing the traditional Galois connection. According to the different parameter beta₁ and beta₂ given by user, the rough concept lattice with different roughness can be obtained.