Formal concept lattices and rough set theory are two effective and important mathematical methods in the field of artificial intelligence, providing a series of algebraic tools for knowledge processing and data analysis. This paper studies the composite rough set representation method of formal concept lattices and proves that the connotation and extension of concepts are both fixed points of a composite rough approximation operator. The results reveal the intrinsic close connection between formal concept lattices and rough approximation spaces, which plays a certain role in improving the mathematical model of concept lattice analysis. Keywords: composite rough operator; formal concept lattice model; rough set theory; fixed point
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