Rough Law Separation-Reduction Based on Function S-Rough Sets

Function S-rough sets have dynamic characteristics and law characteristics. By employing function S-rough sets and law generation, this paper proposes the concepts of rough law, F-separation rough law band, f-separation law and fmacr-reduction law. Based on these concepts above, this paper proposes the theorem of rough law separation, the composition generation theorem of rough law band, and the entire separation theorem of F-rough law. In the end, an application of rough law separation in recognizing the risk profit law is presented.