The concept lattice is a newly developed formal mathematics theory used in modeling social phenomena. We constructed a model on social media with this new tool, and tried to probe into the direction of innovation on media. Since those are proved, all concept lattices are complete lattices, complementarity has an object function which is supermodular, and supermodular functions on lattices are weakly increasing, the conditions of Tarski\|Zhou theorem are satisfied. So there must be a nonempty fixed point set with that weakly increasing function on a complete lattice, and the extremums also increase with the parameter. We drew the conclusion from this fixed\|point theorem, media pay more for news if she know more.
